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    An

    Atlas

    and

    Manual

    of

    Cddmetric

    Radiogr

    Thomas

    akosi,

    M.f).,

    D.D.S.

    Professor

    f Orthodontics,

    Chairman

    f

    the

    Orthodontic

    epartment,

    University

    of

    Freiburg.

    Translated

    y R. E. K.

    Meuss

    WolfeMedicalPublications td

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    O

    ri

    ginally

    published

    y

    Carl

    llanser-Ve-rlag'

    Munich

    as

    Atlas

    Und

    Rnteitung

    Zur

    Pral(tscnen

    Fernrontgenanalyseff

    omas

    Rakosl'

    @

    1979

    Carl

    Hanser

    Verlag

    This

    book

    s

    one

    of

    the

    itles

    n

    the

    series

    f

    W;if;

    Medical

    Atlases,

    a

    series

    which

    brings

    ion"ttt.t otobablyheworld'sargest

    ystematic

    ;1

    li$;i

    ;;lG;iil

    of

    dia

    gnostic-colour

    hoto raphs'

    Fot

    u

    full

    list

    of

    Atlases

    n

    the

    series,

    lus

    i"tttt**i"g

    titles

    and

    details

    f

    our

    surgical'

    a*t"t

    and

    eterinary

    Atlases

    please

    rite

    o

    Wolfe

    Medical

    Publi-cations

    td,

    Wolfe

    House'

    3

    ConwaY

    treet,

    ondon

    W1P

    6HE'

    General

    Editor,

    Wolfe

    Medical

    Atlases:

    G.

    Barry

    Carruthers,

    D(Lond)

    ISBN

    O72A

    U67

    3

    This

    edition

    @

    1982

    Wolte

    Medrcal

    ruor

    Printed

    in

    Great

    Britain

    bY

    Eb*n"""t

    Baylis

    &

    Son

    Ltd,

    Worcester'

    tograPhicand

    '

    iexi"uf,

    may

    not

    be

    reproduced

    n

    3nyl?rm'

    by

    prt

    ffi

    apttt-,

    phototransparency'

    icr-o- lm'

    iniirohctre,

    r

    any

    othei

    means,

    or

    may

    t

    b.e.

    included

    in

    any

    computer

    retriev-al.system'

    ithout

    1982

    Wolfe

    Medical

    Publications

    Ltd'

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    Foreword

    The

    use of cephalometric

    adiography

    n orthodontics

    serves o

    confirm diagnosis,

    and

    also makes t

    possible

    o include

    the morphology

    of

    the

    visceralcranium when

    considering

    possible

    reatment

    procedures.

    n

    the

    course

    of treatment, oentgeno-

    graphic analysis an

    give

    valuable ndications,by

    providing

    additionaldata when

    treatment

    is first initiated,

    a

    monitoring function as treatment progresses,

    nd

    suggesting

    ossible

    modifications.On conclusion f treatment t will

    often be the

    most

    mportant

    method

    or determining

    tabilityas

    well

    as he

    period

    of retention.

    Cephalometric

    eleradiographywill not, of course, eplace

    any of the established

    methods

    of investigation.

    Radiographic

    iagnosisather han

    analysis-i.e.making

    important.therapeutic ecisionswhbly on the basisof radiographs-would ndeed

    be

    poor

    diagnosis.

    o emphasize

    his

    point, the echnique

    will

    always

    e

    referred o

    as'cephalometric

    adiography' nd not as'diagnosticadiography'.

    The

    method

    presented

    n this book

    is a

    practical

    one, .e. designed

    or

    use

    n daily

    practice.

    A

    great

    number

    of analytical

    nd

    nvestigatory rocedures

    re

    specifically

    designed

    o

    assist

    cientiflc esearch.

    The

    present

    method

    also

    nvolves

    scientific

    researches ut, if

    at all, theseare mentioned

    only

    in

    passing.

    A

    method designed

    or

    practical

    use

    must be based

    on

    meaningful

    measurements.

    All

    kinds

    of measurements

    may be

    made on

    a radiograph,

    but

    we

    are concerned

    only

    with

    parameters

    hat

    provide

    he data

    needed or

    decision-making.

    nalysis

    s

    basedon elements hosenwith greatcare,based n theexperience f manyyears.

    Its

    information

    value has been tested

    repeatedly, ncluding

    the

    retrospective

    analysis

    of

    completed

    cases.For a

    period of two

    years,

    he work

    of our under-

    graduate,graduate

    and

    postgraduate

    tudents

    has

    beenassessed

    nd checked or

    accuracyby J. Jonas.

    Her conclusions

    ave

    assisted

    s n the

    choiceof landmarks.

    As exact

    definition

    of

    the different landmarks

    s

    of supreme

    mportance, he

    chapter

    on

    o'X-ray

    Anatomy" included n

    the

    present

    olumehas

    been aken rom

    her work.

    In

    the

    planning

    of this

    book, didactic

    aspects

    ereconsidered

    swell

    as he medical

    and

    scientific

    content.

    Its

    precursor

    entitled

    Leitfaden

    filr

    die Femrontgenkurse

    (manual

    or the

    coursesn cephalometric

    adiography)waspublished

    n 1973.

    On

    the insistenceof those who have attended our courses, he material from

    innumerable

    courses

    s now

    presented n concise

    orm.

    The

    introductory

    chapters discuss

    he

    general

    principles,

    X-ray

    anatomy, land-

    marks,

    lines

    and angles.This is followed

    by chapterson the

    significance f various

    skeletal,

    dental

    and

    soft

    tissueassessments.

    wo

    further

    chaptersdeal with the

    interpretation

    of results and of

    growth.

    Finally,

    practical

    examples

    are used to

    demonstrate

    treatment planning

    on

    the basis

    of radiological

    criteria. Countless

    examples

    ould

    have been

    given

    o illustrate

    his chapter; he

    commonest orm

    of

    malocclusion,

    the class

    It

    anomaly,

    has been used

    to demonstrate

    he

    issues

    involved.

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    The

    conclusions

    rawn

    n

    that

    chapter

    show

    hat

    the

    usefulness

    f

    cephalometnc

    radiography

    is

    not^llmiffi

    a;

    on"ruil

    *ut*""t

    planning'

    Every

    stage

    of

    treatment

    and

    innumerable

    t".t

    rri.uf

    details

    "t;;;;

    pLnn

    O

    J.t

    ttt.

    basis

    of

    radiographic

    findings.

    Even

    *;;;-;;;;tsiOereO"simi[

    p'tottOutes'

    such

    as

    determining

    he

    angle

    of

    traction

    f;;;;"dg"ar,

    plannirrg

    tb

    construciion

    bite

    or

    trimming

    the

    acrylic

    of

    an

    activ-ator,

    cinnot'u"".^ii&tin"ry-p"tr"t

    ed

    without

    radiological

    analysis.

    t-,-

    ^

    The

    aim

    of

    the

    book

    is

    to

    integrate

    cephalometric

    adiography

    as

    far

    as

    possible

    with

    investigatio;lnJtr*t*.it

    ph;;i;in-.tt.

    n"ro

    of

    o--rttrodontics,

    o

    facititate

    decision-making

    n

    daily

    practice,

    ."JJ""uG

    the

    best

    form

    of

    treatment

    to

    be

    determined

    or?ach

    individual

    case'

    Freiburg-im-B

    eisgau,

    GermanY

    August

    1978

    Th.

    Rakosi

    15

    t6

    16

    T6

    l7

    t'l

    18

    Contents

    Cephalometry

    nd

    Radiographic

    nalysis

    1

    The

    Introduction

    of

    Cephalometry

    o

    Orthodontics

    2

    Classification

    of

    AnalYses

    .

    i.t

    rrlieittoOorogicalClassification

    ;.t

    NormativeClassification

    ;.i Ciurrin.ution ttotoing

    to

    the

    Area

    of

    AnalYsis

    3

    Producing

    he

    Cephalometric

    adiograph

    4

    Diagnostic

    ;;;fi""t

    of

    the

    Radiograph

    4.1

    Landmarks

    4.2

    Lines

    and

    Planes

    4.4

    The

    Range

    f

    AnalYsis

    4.4

    InterpretationofMeasurements

    X-ray

    Anatomy

    of

    the

    Visceral

    Cranium

    L

    Norma

    ateralis

    ;

    ii;;t

    outlines

    in

    the

    RadiograPh

    3 Paranasal inuses

    1

    The

    Roof

    of

    the

    orbit

    5

    The

    SPhenoid

    one

    6

    The

    Maxillary

    Sinus

    -

    i

    fn"

    PterygoPalatine

    ossa

    8

    The

    Middle

    Cranial

    sase

    Landmarks

    1

    Reference

    Points

    i.f

    Ftop"tti"t

    of

    Refeqence

    oints

    1'.i

    bednition

    of

    Reference

    Points

    2

    Reference

    Lines

    i Angular andLinear Measurements

    3.1

    Angles

    3.2

    LinearMeasurements

    Page

    n

    8

    8

    13

    20

    20

    22

    24

    26

    28

    30

    a^

    34

    34

    J)

    4T

    42

    42

    M

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    Significance

    f

    Angular

    andLinear

    Measurements

    or

    D

    ento-Skeletal

    nalysis

    1

    Analysis

    f the Facial

    Skeleton

    1.1

    Saddle

    ngle

    I.2

    Articular

    Angle

    1.3

    Gonial

    Angle

    1.4 Sumof thePosterior neles

    1.5

    Linear

    Measurements

    Cianial

    ase

    nd

    Facial

    eight)

    2

    Analysis

    f Maxillary

    ndMandibular

    ases

    2.1

    SNA

    Angle

    2.2

    SNB

    Angle

    2.3

    ANB

    Angle

    2.4

    Comparison

    f

    SNA,SNBand

    ANB

    2.5

    SN-Pog

    2.6

    SN-Pr nd

    SN-Id

    2.7

    Horizontal

    ines

    2.8

    Basal

    Plane

    nglePal-MP

    2.9 Angleof Inclination

    2.IO

    SN-MP

    2.t1,

    N-S-Gn

    Y

    Axis)

    2.I2

    Anterior

    andPosterior

    acial eight

    D

    ento-Alveolar

    nalysis

    3.1

    Angulation

    f

    Upper ncisors

    3.2

    Angulation

    f Lower

    ncisors

    3.3

    Assessment

    f Incisor

    osition

    3.4

    Inter-incisalAnsle

    4

    Linear

    Measureirents

    n Skeletal

    tructures

    4.I

    Extent

    f

    Anterior

    Cranial ase,

    ella

    Entrance Nasion

    4.2

    Extent

    of Posterior

    ranial ase.

    ella

    Articulare

    4.3

    Dimensions

    fMandibular

    ndMaxillaryBase

    4.4

    Position

    f

    Maxilla n

    thePosterior

    ection

    Soft

    Tissue

    nalysis

    1

    Profile

    Analysis

    1.1

    Reference

    oints

    sed n

    Profile nalysis

    1,.2

    Assessment

    f Total

    Profile

    2

    Lip

    Analysis

    2.1,

    Ivletric

    ip

    Measurements

    2.2 ReferencelanesorLip Profile ssessment

    3

    Analysis

    fTongue

    osifion

    yCephalometric

    46

    46

    47

    47

    53

    54

    54

    55

    55

    ) /

    58

    60

    60

    60

    61

    62

    62

    65

    65

    3.1

    3.2

    4

    Radiography

    Tongue

    Parameters

    Average

    Findings

    Functional

    nalysis

    ased n Cephalometr ic

    Radiography

    66

    67

    68

    68

    71,

    7T

    11

    II

    71

    76

    78

    79

    80

    90

    90

    92

    96

    98

    98

    r01

    Interpretation

    f Measurements

    I

    Facial

    Profiles

    nd

    SkeletalAnalyses

    1.1

    OrthognathicSkeletalRelationship

    I.2

    RetrognathicSkeletalRelationship

    1.3 PrognathicSkeletalRelationship

    1.4

    Age

    and

    Treatment-Related

    hanges

    n

    Cases

    of Prognathic

    elationship

    1.5

    Corelative

    Comparison

    f

    Sagittal

    Malocclusions

    104

    105

    109

    113

    123

    r27

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    2

    Assessment

    f Vertical

    Relationships

    n

    the

    Facial

    Skeleton

    2.1

    Growth-Related

    otation

    of the Mandible

    2.2 Determination

    f the Centreof Rotation

    2.3

    The Significance

    f Mandibular

    Rotation

    2.4

    Rotation

    of the Maxilla

    2.5

    Rotation

    asa Factor

    n

    Treatment

    Planning

    2.6

    Horizontal

    Rotation

    of

    the Mandible

    and

    Deep

    Bite

    2.7

    Vertical

    Rotationof the

    Mandibleand Open

    Bite

    3

    Classification

    f Facial

    Types

    Cephalometric

    adiography

    nd

    Growth

    1

    HowMuchFurtherGrowthMaybeExpected?

    2

    Time

    Table for

    Growth

    3 Localisation f GrowthRates

    4

    Direction

    of Growth

    5 Prediction

    f Growth

    5.1

    Methods

    of

    PredictingGrowth

    5.2

    Sources

    f Error in GrowthPrediction

    6 Post

    Treatment

    Growth

    Changes

    6.1 Fine

    Adjustment

    of

    Occlusion

    fter

    Treatment

    158

    7

    Holdaway

    Growth Prediction

    161

    7.I

    The Twelve

    Stages f

    the HoldawayAnalysis 161

    CephalometricRadiographyn TreatmentPlanning

    i

    The Role

    of

    Cephalometric

    adiographyn

    130

    130

    133

    133

    135

    r37

    137

    140

    t47

    1.1

    r.2

    1.3

    r .4

    1.5

    2

    2.1

    2.2

    149

    I49

    149

    1s1

    151

    151

    153

    157

    164

    165

    165

    169

    169

    169

    1,69

    170

    Treatment

    or

    Class

    I' Patients

    Localisation

    f the Malocclusion

    Functional

    ssessmentf Class

    I

    Occlusion

    Growth

    Direction

    Growth Potential

    Aetiological

    Assessment

    Detailed

    Treatment

    Plan

    Elimination

    of Dysfunction

    The Usefulnessf Cephalometric

    Radiography

    ith

    FunctionalOrthodontic

    Treatment

    2.3

    Distal

    Movement

    n theMaxilla

    2.4

    Combined

    herapy

    2.5

    DiscrepancyCalculation

    3

    Late

    Treatment

    3.1

    Planning

    he

    Anchorage

    4

    Correction

    of

    Class

    I, Malocclusions

    ith

    Vertical

    Growth Direction

    TheRankingOrderof Cephalometric

    Radiography

    n

    Orthodontic

    iagnosis

    Appendix

    185

    r93

    201

    208

    209

    214

    zt5

    272

    223

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    C.phalometry

    and

    Teleradiography

    1 TheIntroduction f Cephalometry

    o

    Orthodontics

    The assessment

    f

    craniofacial

    dimensions

    s

    not

    a new

    skill in

    orthodontics.

    The

    earliest

    method

    usedwas

    o

    assessacial

    proportions

    rom

    an artisticpoint

    of view,

    with

    beauty

    and harmony

    as he

    guidingprinciples.

    Tastes

    hange,

    however,

    and

    beautywas

    udged

    by

    different

    standards

    n

    antiquity

    han,

    or

    example,

    uring

    he

    Renaissance.

    Dtirer

    analysed he human face,

    determined

    he ideil

    proportions

    and divided

    he

    ace

    nto quadrants,

    ndhiswork

    still has

    a

    bearing

    n

    orihodontics.

    Mqly centuries ater, his method was applied to the analysis f cephalometric

    radiographs

    by

    de

    Costerand

    Moorees.Cephalometry

    scientific

    meaiurement

    of

    the

    dimensions

    f the head)was

    he first method

    o

    prove

    of value n

    orthodontics.

    It

    was

    used

    o assess

    raniofacial

    rowth

    and determine

    reatment

    esponses.

    ore

    accurate

    methods

    were

    based

    on oriented

    mpressions

    f the

    faceand

    dentures,

    n

    example

    being

    hat

    of van Loon

    (cubus

    craniophorus).

    he method

    s

    demanding

    but very

    useful

    and was ntroduced

    under the name

    of

    'gnathostatics'

    n

    t922.

    A

    further

    method

    for

    the

    analysis f craniofacial

    dimensions

    hat

    developed

    on the

    basis

    of cephalometry

    s cephalometric

    adiography.

    The

    first

    X-ray pictures

    of the

    skull

    in the

    standard

    ateral

    view were

    taken

    by

    Pacini and Carreru (L922). In subsequentyears, the following authors also

    produced

    his

    type

    of radiograph or the evaluation

    of craniofacial

    measurements:

    MacGo-wen

    1923),

    Simpson 1923),

    comte

    (1927),

    Riesner

    lgz9),

    and

    others.

    Nolg

    of them gave

    an

    accurate

    escription f the

    methods

    sed

    o take

    he pictures

    and for

    their

    evaluation,

    so hat

    one

    can

    only speak

    of individual

    studies.

    t wasnot

    until L93I

    that

    Hofrath

    and Broadbent simultaneously

    and independently

    developed

    standardised

    methods or the

    production

    of cephalometric

    adiographs,

    usingspecial

    holders

    known

    ascephalostats,

    o

    permit

    assessment

    f

    growth

    and

    of

    treatment

    esponse.

    Cephalometric

    adiography

    was

    ntroduced

    nto

    orthodontics

    uring

    he

    1930s,

    ut

    the method

    really

    only

    gained

    wider

    acceptanceor

    practical

    pplication

    during he

    last twentyyears.Over theyears,a whole rangeof analysesasbeendeveloped y

    a number

    of authors.

    The aims

    of assessmentended

    o vary,

    ranging

    rom

    studies

    on facial growth,

    the location

    of

    malformations,

    etiological

    tudies

    o the

    assess-

    ment

    of

    treatment

    response,

    s a complement o status

    analysis

    n

    orthodontics,

    etc.

    An analysis

    will

    only

    supply

    he

    answers

    o

    a

    particular

    set of

    questions,

    nd

    these

    answers

    will

    depend

    on correctapplicationof

    the method

    and nterpretation

    of results.

    Over a hundred

    different analyses ave

    been developed.

    hey may

    be classffied

    rom

    a number

    of viewpoints, n systems

    evised

    y different

    authors.

    For

    clinical

    application,

    he methodsdesigned

    o assist

    iagnosis

    re

    of

    particular

    interest.

    The many

    different diagnostic nalyses

    ay be

    differentiated

    n

    a

    number

    of

    ways,

    according

    o

    the method

    of

    deteimination,

    he standards sed, or the

    particular

    basisof

    analysis.

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    2

    Classfficationf Analyses

    2.I Methodological

    Classification

    The basicunits ofanalysis re angles

    nd

    distances

    n millimetres

    lines).

    Measure-

    ments (in degreesor millimetres)may be treatedas absoluteor relative, or they

    may be related

    to each

    other

    to

    express

    roportional

    correlations.

    2.1,.1

    Angular

    Analyses

    The

    basic

    units are angledegrees.

    2.1,J. Dimensional

    analysisconsidersh.e arious

    angles

    n isolation,comparing

    them

    with average igures.

    Down's

    analysis

    s

    of

    this

    type

    (1948;

    Fig. la,

    b).

    2.L.I.2 Proportional analysiss basedon comparisonof the variousangles o

    establish

    significant

    elations

    between

    he

    separate

    parts

    of the facial skeleton.

    Koski's

    (1953)

    analysis

    belongs o this

    group, and this

    was developed urther

    by

    Koski and

    Virolainon

    (1965).

    The results

    obtained

    with this

    analysis

    give

    the

    relations between the basic

    reference

    planes

    OP-N

    and OP-Pog in

    per

    cent

    (Fig. 2).

    2.L.1,.3

    Analyses

    o

    determine

    osition

    Angular

    measurements

    ay also

    be used

    to determine

    he

    position

    of

    parts

    of the

    facialskeleton.

    The SNA andSNB angles,

    for example,

    give

    the

    relations

    between

    he maxillary

    and mandibular

    bases nd

    the cranial base.

    Angular measurements n their own arenot normallysufficientor cephalometry

    and linear

    measurements

    ill

    be

    needed n addition.

    Angular analyses ave

    certain deficiencies:

    The

    lines

    are

    drawn

    in relation

    to a

    primary reference

    lane,

    on

    the

    premise

    hat

    this remainsconstant. f

    this

    plane

    showsdeviations

    rom the mean, he analysis

    s

    not reliable. Measurements

    re

    often

    related o

    particularnorms

    or

    mean

    values.

    These

    norms are however

    subject to a

    number of factors, such

    as age,

    sex,

    hereditary and ethnic

    predisposition,

    tc. They

    are basedon

    averages, nd n

    the

    individual case t is the

    deviation

    rom the

    mean hat

    is

    characteristic.

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    1a

    -\--rrz--ti

    1b

    \

    I

    ,{r

    }\

    l__

    I

    I

    FH

    T

    \=_--

    Fig.

    1.

    Downs' dimensional

    angular

    analysis

    (1948)'

    skeletal

    analysis;

    b)

    Downs'dento-alveolar

    nalysis.

    \

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    2

    '-ft--t-

    \pNs

    V

    Fig.

    2.

    Proportional

    nalysis

    of

    Koski

    and

    Virolainen

    1956).

    his

    compares he

    different ngles,

    o determine ignificant

    elationships

    betweendifferentpartsof the facialskeleton.

    2.L.2

    Linear

    Analyses

    For linear

    analysis, he

    facial skeleton

    s analysedby determining

    certain inea

    dimensions.

    2.I.2.t

    Orthogonal analyses. reference

    plane

    s established, ith the variou

    reference points projected

    onto

    it

    perpendicularly,

    after

    which

    the distanc

    between he

    projections

    aremeasured.Orthogonalanalysismay

    be

    partial

    or

    total

    Total

    orthogonal analysismay

    be

    geometrical

    or

    arithmetical.

    The de Coste

    method

    is a total

    orthogonal

    geometricalanalysis

    Fig.

    3).

    For the

    arithmetical

    method, the reference

    points

    are

    projected

    onto

    a horizont

    and a verticalreferenceplaneandthe distances etween hepointson theseplane

    determined Fig.

    4a,

    b).

    Partial

    orthogonal

    analysisnvolvesorthogonalassessment

    f

    only

    part

    of the

    facia

    skull. Willy

    (1947)

    or

    instance

    sed

    he Frankfurthorizontalplane

    as he referenc

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    r-1---

    |

    A--f

    - (

    ---// I

    I

    L_

    t i

    Fig. 3.

    de

    Coster's total

    orthogonal

    geometrical

    Mal-

    occlusion s

    demonstrated y deformation

    f the

    quadrants.

    Orthogonal analyses re

    llustrative

    and suitable

    or teaching ut not for diagnostic

    purposes.

    A further development

    f orthogonal

    methods

    arearqhialanalyses,

    nd

    these are a useful diagnostic

    aid.

    The most widely known method

    s

    the

    Sassouni

    nalysis

    1958),

    with the reference

    points

    not

    projectedperpendicularly, ut

    by

    drawingarcswith the aid of compasses

    (Fie.

    ).

    2.1,.2.2 Dimensional, inear analyses

    re

    basedon

    evaluation

    of

    certain

    inear

    measurements, ither direct

    or

    in

    projection.

    The direcl method

    gives certain

    linear

    measurements

    e.g.

    the length of

    the

    mandibular

    base)

    as the distance

    between

    wo

    reference

    points.

    The results

    are

    given

    in

    absolute

    erms,

    so

    that

    age also

    has to be taken into account

    or their

    mterpretatron.

    Projected

    inear dimensional

    analysis

    determines

    he distances etween

    certain

    reference

    points

    that

    have

    been

    projectedonto

    a reference

    ine.

    2.I.2.3 Proportional linear analyses re basedon relative rather than absolute

    values.

    The different

    measurements

    re

    compared

    o eachother,

    without reference

    to norms.

    I

    \

    \

    t\

    i

    --l-

    I

    I

    r

    /,,

    I

    _l___\

    I

    Ll

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    4a

    4b

    \^

    F 0.

    4.

    ,

    coben's

    otal

    orthogonal

    rithmeticat

    nalysi.

    """"i"

    skeletal

    relationships

    parallel

    a)

    and vertical b)

    to

    the Frankfurt

    horizontal.

    \^

    {

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    5

    100

    66

    I

    Pn n

    -_:r_

    __ _

    Fig.

    5. sassouni

    rchial

    analysis.

    andmarks

    re

    related

    ot

    vertically,

    ut

    by

    arcs

    drawn

    rom

    a

    centreC.

    2.2

    Normative

    Classification

    Analyses

    ay

    also

    e

    classified

    ccordingo

    the

    concepts

    nwhich

    ormal

    alues

    have

    been

    ased.

    2.2.L Mononormativenalyse

    Averages

    erve

    as he

    norms

    or

    these: hey

    may

    be arithmetical

    r

    geometrical.

    2.2.1.1

    The

    arithmetical

    orms

    are averageigures

    ased

    n

    angular,

    inear

    or

    proportional

    measurements.

    13

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    1g.9. .

    Average

    racing

    f

    geometrical

    orms

    or

    children

    ged

    10

    (Bolton).

    2.2.L.2

    Geometrical

    orms

    are

    average

    racings

    n a transparent

    heet.

    Assess-

    ment consistsn comparinghesewith the casi under

    anaiysis.

    hese

    methods

    merelyprovide

    apid

    orientation

    Fig.

    6).

    2.2.1'.3

    The

    disadvantage

    f mononormative

    nalysesis

    hatindividualparameters

    are considered

    n

    isolation.

    Nor

    do they

    necessarily

    epresent

    'normil'average,

    as deviations

    n the

    ndividual

    dimensions

    f

    the

    awJ

    and ace

    may

    compensate

    each

    other

    so

    that

    occlusion

    s

    normal,

    just

    as

    'normal'

    measurements

    ay

    cumulatively

    91d

    o

    one

    end

    of the

    range

    f normal ariation,

    he

    sum otal

    being

    malocclusion.

    Mononormative

    nalyses

    re

    suitable

    nly

    for group

    studies,

    nd

    not

    for

    diagnostic

    urposes.

    2.2.2

    Multinormative

    nalyses

    For

    hese,

    whole

    eries

    f norms

    re

    used,with

    age

    nd

    sex aken

    nto

    account

    (Tables

    and2) .

    2.2.3

    Correlative

    nalyses

    These

    are

    used

    o assess

    ndividual

    variations

    of facial

    structure

    o

    establish

    heir

    mutual

    relationships.

    Correlative

    analyses

    re the

    most

    suitable

    or

    diagnostic

    pu{poses, ndare usedassuchby mosiauthors.

    14

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    q)

    q)

    *c

    0i -

    t

    'J ,

    ol

    (u

    cn

    -u

    mQ?Q

    I X{ \

    mtr

    fF

    m

    8/,,0

    f

    q1

    q

    1

    2

    3 4

    5

    6 7

    8

    I t0

    11

    17

    13

    1415

    1617

    18

    Table

    1. Multinormative

    ean alues

    or SNAangle. ge

    and

    sexanarysis.

    mi4,9 mo m81,0

    f76,6

    fp

    f91,4

    1 2 3

    4 5

    6 7 I

    I 10

    11

    1?

    131{

    15

    16 17

    18

    Table

    .

    Multinormative

    ean

    alues

    or

    sNB

    angle.

    ge

    and

    sexanalysis..

    2.3

    Classification

    ccording o the

    Area

    of Analysis

    The

    various

    analyses

    ay nvolve imited

    areas

    r

    the

    whole

    of the acial

    keleton.

    2.3.1"Dentoskeletalnalyses

    These

    analyze he

    teeth and

    skeletal

    structures.

    They may

    be made rom

    norma

    lateralis,

    norma

    rontalis,

    or three-dimensionally.

    more ecent

    developments

    three-dimensional

    tereometric

    analysis,but this is not

    yet

    fully

    developed or

    clinical

    use.

    2.3.2

    Soft

    Tissue

    nalyses

    These

    may nvolve

    he whole

    profile

    n norma ateralis,

    r certain tructures

    nly.

    We usually

    do a

    partial ateral

    soft issue nalysis,or

    example

    o analyse

    he ips n

    a cephalometric

    adio$aph.

    o

    0)

    q.)

    o/

    o-

    t

    o1

    c)

    un

    -U

    15

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    2.3.3

    Functional

    nalYses

    cephalometric

    adiographs

    ay

    also

    be

    used

    o

    assess

    unctional

    elations

    uch

    as

    ;#;;l*."i"

    i",.".oiclusal

    ipu.r

    relationship

    n

    norma

    ateralis

    and

    norma

    frontalis.

    3

    Producing

    heCephalometricadiograph

    Cephalometric

    adjographs

    re

    produced

    at

    a

    considerable

    istance

    rom

    tube

    target

    o Subject

    1i-Z

    ti"it";i,

    ;

    that

    the

    visceral

    kull

    s

    correctly

    eproduced'

    without

    enlargement

    i

    distoriion.

    The

    principal

    imo,f

    he

    diagnostic

    nalysis

    s

    o

    localise

    malocclusion

    ithin

    the

    conteni

    of

    the

    acial

    bone

    structures'

    valuation

    "f

    tfrr

    i.Jiograph

    is based

    n

    standardised

    ephalometric

    andmarks'

    The

    landmarks

    are

    used

    o

    determine

    ines

    and

    planes

    which

    hen

    enable

    us

    to

    make

    inear

    and

    angular

    assessment

    f

    the

    radiograph'

    4 Diagnostic

    ssessment

    f

    the

    Radiograph

    Standards,of

    eneral

    alidity

    or

    diagnostic

    ssessment

    o

    notexist'

    f

    an

    analysis

    does

    not

    reveal

    he

    nature

    of

    the

    anomaly

    nder

    nvestigation

    his.need

    ot

    n.r.riutify

    be

    due-io

    nuO.quu.ies

    n

    the

    radiogfuqh,

    ut

    may

    arise

    ecause

    method

    f

    assessmrnt

    tut

    been

    sed

    hat

    was

    otteiigned

    or

    hat

    particular

    rea

    of

    investigation.

    "

    tfi"ituf

    practice,

    valuation

    f

    cJphalometric

    adiographs

    s

    based

    n

    he

    principles

    iven

    elow'

    4.1

    Landmarks

    Distinction

    s made

    between

    entoskeletal

    nd

    soft

    issue

    oints,

    and

    hese

    may

    be

    unilateral

    (meOianf

    o.

    Ufite'ul'

    pependilg-.on-,thtirorigin'

    points

    may

    be

    anatomical,

    nthropological,

    r

    radiological

    Ftg'

    1,1'

    (1) In

    the

    median

    plane,

    unilateral

    ointsare

    ocated

    n

    the

    region

    of

    the

    cranial

    b^.,

    for

    instance

    n

    the

    midface

    and

    n

    the

    profile'

    (2)

    Points

    ocated

    on

    either

    side

    and

    above

    he

    median

    plane.result

    rom

    super-

    i,isill*

    "ftwo

    lateralpoints.Themost mportantof theie ie n theregionof the

    mandible.

    We

    prefer

    unilateral

    situated

    n.the.median

    r

    sagittal

    lane)

    o

    bilateral

    oints'

    as

    ,.pJfp"rition

    of

    t*o'pointr

    *ittt

    Uitut.ral

    ocation

    may

    nvolve

    oss

    of

    accuracy'

    As

    far

    as

    possible,

    he

    points

    chosen

    re

    generally

    nown

    points

    capable

    f

    being

    easily

    defined

    n

    a

    radiograPh.

    we

    have

    nvestigated

    he

    degree

    of

    personal

    error

    in

    the

    location

    of

    landmarks'

    and

    found

    (lonurj

    it

    ut

    anatomicat

    nO

    also

    dental

    points

    are

    more

    reliable

    han

    constructed

    oints.

    r

  • 8/10/2019 Thomas Rakosi Cefalometrie

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    lig.z.

    Median

    nd

    bilateral

    eferenceoints

    sed y

    Krogman

    nd

    Sassouni.

    4.2

    Lines

    and

    planes

    Having

    ocated

    he

    points,.we

    draw

    ines

    o

    mark

    the

    reference

    lanes

    Fig.

    g).

    Linear

    measurements

    ay

    be made

    by connecting

    wo

    points,

    angular

    measure-

    ments

    between

    hree

    points.

    Numerous

    ines

    are

    sed

    in

    the

    diffeient

    inear

    and

    angular

    analyses,

    ith

    .one-partrcular

    ine

    representing

    he

    reference

    lane

    on

    which the wholeanalysiss based. wo suchplun.sare he Frankfurthorizontal

    Plgn.

    and

    the

    sella-nasion.

    he

    Frankfurt

    orizontal

    plane,

    being

    based

    on

    bilateral

    points

    (orbitale

    and porion),

    s

    more

    subject

    to

    .rior.

    W?

    th.r.for.

    prefer

    the

    sella-nasion

    lane

    which

    s

    constructed

    ith

    the

    aid

    of two

    median

    landmarks.

    4.3

    The

    Range

    f

    Analysis

    Diagnostic

    analysis

    oes

    not

    adhere

    o

    a rigid

    system.

    We

    do

    certain

    inear

    and

    angular

    measurements

    n

    a routine

    basis,

    ut

    go'beyond

    hese

    n

    individual

    ases,

    depending n thenatureof theanomaly, n tf,epaiient's g., unA fremethodof

    treatment

    under

    consideration.

    istinction

    s

    made

    betweJn

    pecial

    nd

    supple-

    mentary

    measurements.

    l7

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    I

    I

    I

    ;

    t

    *

    i

    Pnn

    Me

    Fig.8. The

    most

    widely

    used

    eference

    ines.

    Sello-nosion

    one

    N' Fronkfurt

    4.3.1,

    Control

    Measurements

    These

    are

    madewhere

    he

    results f routinedeterminations

    eave

    oom

    or

    doubt.

    W-.

    9o,

    for

    example,

    make

    a routine

    analysis

    f the

    position

    of the

    upper

    ncisors

    relative

    o the

    nasal

    pineand

    he

    SN

    plane.

    f the results

    re not

    unequivocal

    n

    either

    case

    s, or

    example,

    n

    cases

    f

    ante-

    or retroinclination,

    e

    .nake

    urther

    measurements

    n

    order

    o

    get

    a clear

    picture.

    As far

    as

    possible,

    inear

    and

    angular

    measurements

    re used

    n

    combination.

    4.3.2

    Special

    easurements

    Special

    measurements

    re taken

    n individualcaseswherepointsof particular

    interest

    arise.

    An

    example

    would

    be the

    position

    of the

    r;15-year

    molars,

    which

    may

    be

    of considerable

    mportance

    rior

    to

    andduringheadgear

    herapy Fig.

    9a,

    b and

    c).

    4.3

    Interpretation

    f Measurements

    Individual

    measurements

    re considered ot

    in isolation,

    but relative

    o each

    other. An

    unusually

    ong

    mandibular

    ase, or instance,

    oes

    not in

    itself

    mean

    prognathism,

    but may

    be found

    with normal

    and evenpost-normal

    cclusion.

    What

    matters

    s

    the

    relationship

    etween

    he

    mandible

    nd

    he

    whole

    acial

    bonestructure.Only

    correlative

    nalysis ill

    accurately

    ocalise

    malocclusion

    ithin

    the

    context

    of the

    facial

    skeleton.

    a

    ot

    Ir I

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    9b

    point

    R

    Fig.9.

    Specialmeasurements

    to

    determinehangesn

    6th-year olar

    osition.

    Reference

    oints

    a),

    diagrammatic

    epresentation

    of R

    and

    Mvertical

    roiection

    to

    give

    inearmeasurements

    (b),

    nd

    diagrammatic

    representation

    f

    heangle

    betweenheaxisof6th-year

    molars

    nd

    SN

    c)

    o assess

    movement

    f he eeth.

    9c

    19

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    X-ray

    AnatomY

    f

    the

    Visceral

    Cranium"

    1

    Norma

    ateralis

    It is oftendifficult

    o

    establish

    clear

    elationship

    etween

    he

    size

    and

    shape

    f

    anatomical

    tructures

    n

    the macerated kullon the onehand'and he contours

    seen

    n

    a

    lateral

    teleradiograph

    n

    ;;.;;h.t.

    The

    differences

    re

    due

    to

    the

    technique

    sed

    i...

    it.

    tails

    t..ntiuipiol.:,i"1

    .il1to

    reprcsenting

    hree-

    dimensional

    tructure

    n

    two

    dimensions'

    nterpretation

    s

    made

    more

    difficult

    il;iff;;les

    in

    density,

    r

    contrast

    f

    the

    projected

    tructures'

    Exact

    ocation

    f

    the

    anatomical

    andmarks

    sed

    n

    cephalometric

    adiology

    il l

    require

    dequare

    ;;;i;dg.

    oi

    the

    X

    t.y;;.arance

    ofth.

    cranial

    ones

    nd

    heir

    relationship

    o

    adjacent

    tructures'

    Numerous

    eatures

    re

    discernible,

    uch

    s

    ines-

    he

    projection

    f

    bony

    tructures'

    shadows

    representing

    oft

    tissuesl

    nJ

    u,gt

    'uiioiuttot

    areas

    indicating

    pneumatisation.

    .

    -

    --^,

    Below,

    series

    f

    radiographs

    nd

    utline

    rawinesalt^g\t:":::f:t:- t

    ?:fft:l

    ff

    ."J#"T:'it?J';liiff

    liffi

    il;;*o"i"t'r:d"9:1'^:':::":1ffi

    1"::

    i*Lliii?i;tiili..iil, &rr+:;;,'i.i.ai"graphv.

    he

    gures

    iven

    n

    brackets

    lateral

    views

    have

    also

    been

    (19),

    and

    he

    shadow

    f

    the

    *From

    J.

    Jonas,

    Mathematisch-statische

    rhebung

    iber

    die

    Griissenordnung

    es

    ndividuellen

    ehlers

    ii

    iir

    nanryenkephalomefrie'

    reiburg

    '

    19'75'

    iotr.tponO

    o

    those

    n

    Figs'

    10

    o

    16'

    2

    BonY

    Outlines

    n

    the

    RadiograPh

    InFig. l0a,b, thebonyout l inesconsistent lySeeninX-raypictureshavebeen

    tracei,

    Their

    adiodensity

    ay

    of

    course

    ary'

    Moving romaboveo belown theanterior art, here,

    re

    he

    ollowing:

    he

    anterior

    wall

    of

    tt.-t-niufsinus

    (1),

    rr.""^J

    6on.

    1z;,

    he

    rontal

    rocessf the

    maxilla

    3),

    he

    uni.iio,

    wall

    of

    il;

    .;;il.y

    sinus

    +),

    he

    loor

    of

    the

    nose,

    he

    alveolar

    rocess

    "fi;;;;illi-(l),and

    the

    anterior

    spect

    f

    the

    mandible'

    In

    the

    middle

    part

    of

    the

    picture,

    he

    ollowing

    tructures

    ay

    be

    discerned:

    he

    roof

    of

    the

    orbit

    8),

    with

    he

    opaque

    iot

    tonti"nuing

    nto

    he

    planum

    phenoidale

    (12),

    he

    cnbriform

    late

    f

    the

    ethmoi;;;;.

    (to;,

    no

    the

    upper

    nd

    ower

    imits

    of

    ihe

    maxillarY

    inus.

    Posteriorly

    he

    X-ray

    shows:

    he

    hypophyseal

    ossa

    n

    p,rofile

    13)'

    ts

    dorsal

    imit

    continuing

    nto

    r,.?'Utii,

    f

    +llii;'"';

    ;li.

    most

    audal

    irt

    of

    he

    clivus

    the

    basion

    (laa)- theshadow-"tt,l dens xis 15)may

    be

    seen,

    nd

    mesial

    o

    it a

    smaller'

    more

    or

    less

    riangular

    utline

    ept.t.titittg

    he

    anterior

    rch f theatlas16)'

    Ventrally

    o

    these

    tructures,

    he

    condylar

    rocess

    f

    he

    mandible

    17)

    s

    visible;

    t

    continues

    orwards'inio

    trr

    mandibular

    nlisure

    nd

    inally

    he

    coronoid

    rocess

    (18).

    Being

    very

    similar

    o

    the

    macerated

    kull,

    he

    body

    and

    amus

    f

    the

    mandible

    s

    easily

    distinguished.

    Some

    of

    the

    soft

    tissue

    outlines

    commonly

    een

    n

    it*.d.

    fne

    soft

    palate

    s

    outlined'

    with

    the

    uvula

    pottttl"t

    wall

    of

    ihe

    nasopharynx

    20)'

    20

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    " l

    10b

    Fig.10. Bonycontoursn the radiograph.a) n the radiograph,

    (b)

    diagrammatic.

    21

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    Paranasal inuses

    Fig.

    11a,

    b shows he

    air-filled

    spaces

    n

    the skull.

    These

    re

    subject

    o individual

    vaiiationand

    heirX-ray

    appearance

    lso

    depends n

    hedegree

    f

    pneumatisation:

    Frontalsinus 21),sphenoidal inus 22),ethmoidal ir cells 23),maxillary inus

    (24)

    and

    nasopharyngeal

    pace

    25).

    The

    lowest

    point

    of

    the

    frontal

    sinus

    s at

    the height

    of

    the nasion, he

    anterior

    upper end of

    the frontonasal

    uture.

    ts

    supraorbital

    ecess

    28

    n I2a,6)

    may

    have

    pushed

    part

    he

    amina

    nterna

    and

    orbitalis

    of

    the

    nner

    ableof the rontal

    bone.

    The

    ethmoidalair

    cells

    (23)

    ie between

    he

    frontal

    cellsand

    the body

    of

    the

    sphenoid

    one.

    Their

    ower

    imit

    s he

    oof

    of

    themaxillary

    inus,

    hecranial

    imit

    the cribriform

    plate of

    the ethmoid

    bone.

    The marginsof the ethmoidbone are not easilydefinedbecause f its great

    variability.

    The anterior

    air

    cells

    may be

    masked

    by

    the frontal

    process f

    the

    maxilla.The

    middlecells

    with

    the ethmoidal

    ulla

    ie behind

    he zygomatic

    one,.

    and

    the

    posteriorwall of

    the

    sinus

    s

    masked

    y the

    shadow

    f the

    greaterwingof

    the sphenoid.

    The sphenoidal inus

    22)liesimmediately

    elow

    hesella

    urcica nd

    usually

    asa

    numberof components.

    entrally

    and

    caudally

    t extends

    eyond

    he

    loor of

    the

    middle cranial

    ossa.Anteriorly,

    the

    planumsphenoidale

    orms

    ts roof.

    The nasopharyngeal

    pace

    25)

    iesbetween

    he

    shadow

    f the soft

    palateand

    he

    upperpait of iheposteriorwall of thepharynx,t connects ith he oralcavity.At

    thd tof

    ,

    the

    space

    s

    imited

    by

    a ine

    hat s a

    radiological

    rtefact,

    projection

    f

    the

    posterior-edge

    f

    the

    vomer.

    This

    is

    however

    masked

    y the shadow

    f

    the

    pterygoidprocesi

    which

    also

    overs

    he

    posterior

    art

    of

    thesuperior

    meatus f

    the

    nose,so that the

    atter

    s only

    rarely

    dentifiable

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    11b

    Fig.

    1.

    Paranasal

    inuses.

    a)

    n

    he adiograph,

    b)

    diagrammatic.

    LJ

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    The X-ray

    appearance

    f

    structures

    ifficult

    o identify

    because f

    the numerous

    linesseen

    n the radiograph

    s discussed

    elow.

    4 TheRoof

    of

    the

    Orbit

    In the

    upper

    part

    of

    Fig.

    }a,b,

    the

    loor

    of

    theanterior

    ranial

    ossa

    s raced.

    his

    is formedbiliterally

    Uy

    tre

    oof

    of

    the

    orbit

    (8)

    and

    n the

    median y

    he

    cribriform

    plate

    of

    the ethmoiO

    tO;

    and

    he

    planum

    sphenoidale

    I2).

    The

    roof of

    the orbit

    (8) produces

    dense

    utline,

    usually

    double

    tructure,

    ue

    to

    its

    being

    bilateral.

    t

    rnerges

    orsally

    nto

    the

    planum

    phenoidal"

    \I2),

    almost

    straight

    ine, and divides

    nto

    two

    ess

    marked

    tructures

    entrally.

    he upper

    one

    goes

    n a cranipventral

    irection,

    orming

    a

    dorsally

    oncave

    ine;

    the other

    one

    t-ends

    n a more downward

    direction,

    unning

    nto

    the shadow

    f

    the cribriform

    plate

    10).

    Some

    pointed

    elevations

    re

    distinguishable

    n the

    egion f

    theorbital

    oof

    these

    represent

    he cerebral

    idges

    26).

    The external urface

    f

    the

    rontal

    bone

    erminates

    ith ananteriorly

    onvex

    urve

    in

    the rontonasal

    uture

    30).

    Krogman

    nd

    Sassouni

    1957)

    tate

    hatbecause

    he

    caudally

    adjoining

    nasal

    bone

    (2)

    differs

    n radiodensity,,it

    s

    not always

    asy

    o

    determine

    he

    uppermost

    oint

    of the

    rontonasal

    uture.

    here

    s a risk

    of

    putting

    this

    point

    too faf

    in the

    dorsal

    egion.

    Overlap

    with the eyelids

    n this area

    may

    produce

    another

    ine structure

    hat

    could

    be confused

    ith

    the suture.

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    12b

    Fig.

    12.

    Roof

    of

    orbit.

    a)

    n

    he adiograph,b)

    diagrammatic.

    IJ

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    5

    The

    Sphenoid

    one

    Fig. 13a,

    b: The

    outlineof the sella urcica,

    onvexo the

    vertex,

    tands

    ut clearly

    from

    its surroundings

    n every adiograph.

    t terminates

    n

    the

    uberculum

    ellae

    (34)

    anteriorly

    and

    n the

    dorsum ella

    35)

    posteriorly.

    s it is

    elliptical,

    double

    line is often seen n this area. According o van der

    Linden (lgil),

    the most

    radio-opaque

    ines

    epresenthe median

    or sagittal

    lane.

    The

    most

    caudal

    ine

    s

    the loor

    of the

    sella,

    and

    he

    mostdorsal hadow

    hemedian

    f the dorsum

    ellae

    (3s).

    The

    image

    of

    the tuberculumsellae

    3a)

    s

    frequently

    masked

    by the

    anterior

    clinoid

    processes

    o hat the anterior imit to

    the entrance

    f

    the

    sella

    s not

    always

    clearly

    discernible.

    t doeshowever

    standout from

    the

    surrounding

    tructurbs

    because

    t

    shows

    ontinuousransition nto

    the ine representing

    he loor

    of the

    sella, with

    its

    shadow denser han

    those

    of

    the

    anterior

    clinoid processes

    (van

    der Linden,

    l97I).

    The esser

    wing (33)

    shows

    s

    a

    ine

    beneathhe uberculum

    ellae

    34)

    which

    may

    show

    downward

    renationsndicatinghe

    optic

    canal. he

    upper

    part

    originatesn

    the

    anterior

    clinoidproces,sgl

    36)

    and continues

    n

    a ventral

    direction

    arallel

    o

    the

    planum

    sphenoidale

    12),

    inally

    becoming

    angential

    o

    the

    shadow

    f the

    greater

    wing.

    As

    alreadymentioned,he

    outlines

    f the esser

    ing

    of thesphenoid

    are

    ess

    adio-opaque

    han hose

    of

    the

    adjacent lanu.m

    phenoidale

    nd of

    the

    greater

    wing.

    Dorsal

    to

    the

    cribriform

    plate

    of

    the

    ethmoid

    bone,

    the greater

    wing

    of the

    sphenoid

    appears

    n relief, its facies

    erebralis

    orming

    a

    dense

    road ine

    that

    continuesn a ventrallyconcave rc acrosshe loorof the anteriorcranial ossa,

    moving

    dorsocaudally.

    t

    produces

    a double

    contour

    n

    this

    area,

    the facies

    cerebralis

    nterna 38)

    and he acies

    rbitalis

    39).

    The acies

    emporalis40)

    may

    sometimes

    e visible

    n the region

    of

    the

    anterior

    sphenoidal

    inus

    22).

    The

    contour

    f the

    dorsum ellae

    35),

    heposterior

    imit

    of he

    ossa

    ypophysialis,

    continues

    orsocaudally

    nto the

    shadow f the

    clivus

    14)

    which

    consiits

    of the

    body

    of the

    sphenoid

    nd hebasilar

    art

    of theoccipital

    one.

    Theshadow

    xtends

    from ts

    more

    caudal oint,

    he

    basion, ranioventrally

    o

    the

    anteriorlowerpart

    f

    the

    sphenoid.

    cross

    he

    broadshape f the

    clivus, he

    aintly

    sketched

    ine

    of

    the

    sphenooccipital

    ynchondrosis

    42)

    uns

    rom

    dorsocranial

    o

    ventrocaudal.

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    _-L

    22

    L1

    ------/

    ,. i

    z7

    Fig'

    13.

    sphenoid

    one. a)

    n

    he

    adiograph,

    b)

    diagrammatic.

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    6 The Maxillary

    Sinus

    The size

    of

    the maxillarysinusdepends

    n

    the degree f

    pneumatisation.

    Fig.

    14a,

    b:

    The

    anterior

    wall of thesinus

    4)

    s usually learly istinguishable

    rom

    the

    surrounding tructures.

    t extends

    pwards

    nd

    back o form heupper

    imit of

    the maxillarysinus. his ine sratherdelicate nd ends o be regular. It ispartly

    rnaskedby the ethmoidalair cells

    (23)

    and

    therefore

    not

    completely

    isibleat

    times.

    The shadow f the

    anteriorwall of

    the sinus

    ontinues ownwards nd back

    nto

    the loor of the sinus. he caudal

    art

    of

    a

    normally evelopedinus xtends elow

    the

    palatineprocess

    f

    the maxilla

    6)

    which

    ormsa

    ong,

    dense

    ine unningmore

    or

    lesshorizontallyacrosshe

    picture,

    erminating

    entrally n the antedornasal

    spine

    43).

    According

    o

    Hunter

    (1968),

    uperposition

    f anatomical ontours

    s

    common

    n this

    area

    due o thealae artilagenes

    asales,nd

    t is

    possible

    o

    put

    he

    anterior

    nasal

    pine,

    he mostcaudal

    andanterior

    point

    of

    the piriform

    aperture,

    too

    far

    forward.

    Beneath he latter, the external

    anterior

    imit of the

    maxilla ormsan anteriorly

    convexcurye running down to

    the alveolar

    borderof the central

    ncisors. his

    contour

    s not

    always

    ery radio-opaque,

    ndwith

    poor

    contrast ne uns he risk

    of

    localising he deepest etractionof

    the curve

    oo far"in the distal direction

    (Krogman

    nd

    Sassouni,

    957).

    The area

    s alsomasked

    y the soft

    issues f

    thecheek. his

    produces

    noutward

    curvingshadow

    n the

    regionof

    the anterior

    imit of the

    maxillary

    ase, nd

    may

    cause

    mistakesn locating

    point

    A.

    The dorsal imit of the

    palatineprocess

    6)

    is

    represented

    y

    the posteriornasal

    spine. n children, his may frequentlybe maskedby the images f unerupted

    molars.

    Ventral

    o themaxillary

    inus

    ies he

    rontal

    process f themaxilla

    3).

    Depending

    on

    contrast, hismaybemoreor ess

    learly istinguishable

    rom hecontourof

    the

    nasal one.

    In the upper anterior

    sectionof

    the

    maxillarysinus

    appearshe contourof the

    orbital

    loor

    (9);

    dorsal

    o this

    shadow

    re wo approximately

    arallel

    ines unning

    in the cranial

    direction the anterior

    and

    posterior imits

    of

    the zygomatic one

    (31).

    Beneath he orbital

    loor

    (9)

    an opaque,

    oughly

    riangular tructure

    may

    be

    seen.

    Different opinions regiven n the iterature s o whichspecificone hisbelongs.

    Bouchet

    et

    al.

    (1955)

    onsidershese tructures

    o form

    part

    of

    thezygomatic one,

    whilstEtter

    (1970)

    sed adiological

    tudies

    n solated

    ones o demonstrate

    hat

    this area epresents ainly he zygomatic

    rocess f the

    maxilla

    44).

    In

    the

    upper

    part

    of the

    posteriormaxillary

    inus,

    he

    outline

    of the middle

    nasal

    concha

    45)

    may

    be

    noted.This

    appears

    sa shadow

    learly ounded t heback.

    f

    the

    inferior nasal

    concha

    46)

    s

    hypertrophied,

    t

    may

    be locatedbeneath

    he

    middle concha.

    The coronoid

    process

    f the

    mandible

    18) ieswithin the owerpart

    of

    the

    sinus

    outline, but its contoursare rather

    ndistinct.

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    "|&;

    ,,,,,,

    ,

    ..

    F',

    Wsr*

    $"

    i : .r r . i

    li

    Fig.

    14.

    Maxillary

    inus.

    a)

    n the

    radiograph,

    b)

    diagrammatic.

    (See

    ext,

    page

    28.)

    29

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    7

    The

    Pterygopalatine

    ossa

    The

    contour

    of the

    pterygopalatine

    ossa

    s a

    roughly

    riangular

    shape

    nding

    n a

    sharp

    point

    caudally.

    Fig.

    15a,b:

    Its uppel

    imit

    is ormed

    by

    the sphenomaxillary

    urface

    f the

    greater

    wiig (ai). T.hem6OiAl terygoid late 48) s ts.posterior allwhilstventrally t is

    limited

    by the

    posterior

    witt

    of

    the

    maxillary

    sinus

    l),.. clgarly

    visible

    ine

    that

    continuei

    caudally

    nto

    the

    maxillary

    tuberosity

    (51). The contours

    of

    the

    zygomatic

    rch

    31)

    and

    caudal

    o

    it

    the

    coronoid

    rocess

    f themandible

    18)

    cut

    aliort

    the

    uppei

    part

    of

    the

    pterygopalatine

    ossa.

    The

    shadowof

    the

    foramen

    rotundum

    (47)

    appears

    n the cranial

    part.

    The

    caudal

    extension

    f

    the anterior

    partof

    the

    ossa

    ntersects

    ith the

    contour

    of

    the

    floor of

    the

    nose

    and

    the soft

    palate.

    Compared

    o the

    macerated

    kull

    the

    fissure

    s situated

    n

    the ransverse

    lane,at

    the same

    eight

    as

    he

    posterior asal

    spine.

    30

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    ljg,.1S,.

    Pterygopalatine

    ossa. a)

    n

    the radiograph,b)

    diagram-

    matically.

    31

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    8

    The

    Middle

    Cranial

    Base

    In

    the

    middle

    region

    of

    the

    base

    of

    the

    skull,

    nterpretation

    f

    contours

    s

    made

    Oim.utt

    by

    the

    riultiplicity

    of

    superposed

    tructures.

    he

    area

    s also

    subject

    o

    considerable

    ndividual.and

    ge-related

    ariation'

    Fig. 16a,b: In the upperanteriorpart of the diagram iesthe contourof the

    rpfi.noid

    bone,

    with

    the

    sella

    urcicd

    1t:;

    continuing

    ownwards

    nd

    back

    o

    the

    clivus

    14).

    Dorsal

    o

    the clivus

    s

    the

    upper

    nner

    margin

    of

    the

    petrous

    art of

    the

    emporal

    bone

    52).

    The

    region

    below

    this

    hasa

    broken

    up,

    cloudy

    appearance

    ue

    o

    the

    air-filled

    mastoid

    cells.

    In

    the

    ower

    part

    of

    the

    diagram,

    he

    ollowing

    ontours-are

    hown,

    moving

    rom

    the

    anterior

    o the

    posterioiparts:

    he

    zygomat]9_1rch(32),

    he

    articular.tubercle

    (jtl,."o the condylu,

    pro.ri,

    of

    the

    manoibte

    17)which

    borders

    nto

    he

    mage

    of

    the

    mandibular

    ossa.

    Basion,

    he

    most

    caudal

    point of

    the

    clivus

    14),

    s

    the

    most

    anterior

    edge

    of

    the

    foramen

    magnum,

    he

    hferal

    border

    of

    which

    s he

    occipital

    ondyles

    54).Their

    it*g.

    upp.u"tt

    lose

    o the

    dens

    of

    the

    axis

    15), glmjng

    a

    ine hat

    becomes

    ole

    horizontal

    at

    its

    lower

    edge

    and

    continues'dorsally

    nto

    the condylar

    ossa

    55).

    Across

    he

    shadow

    f

    the

    occipital

    ondyles

    ies

    he

    contour

    f

    the

    mastoid

    rocess

    (s6).

    From

    about

    he

    age

    of

    L4

    onwards,

    he

    mastoid

    locess

    xtends

    audally

    eyond

    the

    condyles.

    For-"

    ifferential

    diagnosis,

    ts arc

    is

    more

    strongly

    co-nv.ex

    o

    the

    cranium han hu condyles, nd t iray alsobe ocated y themastoid ir cells.

    Dorsal

    o

    the

    ower

    part of

    the

    clivus

    14) ies

    he

    opening

    f

    the external

    coustic

    ;;;6;

    (57),

    an

    approximately

    ircular

    hape,

    and

    dorsocranial

    o

    it the

    smaller

    contour

    of

    ihe

    opening

    o the

    nternal

    acoustic

    meatus.

    If ear

    olives

    are

    used

    with

    the

    cephalostat,

    heexternal

    coustic

    eatus

    resents

    s

    a

    completely

    adio-opaque

    tructure.

    32

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    - ' . . .

    I

    ii".lrlr

    Fig.

    16. Middle

    ranial

    ase.

    a) ln

    he

    adiograph,

    b)diagram.

    mat ical ly

    see

    ext ,

    page

    2).

    aa

    JJ

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    Landmarks

    I Reference

    Points

    The

    effective

    evaJuation

    of

    radiographs

    depends

    on

    accurate

    definition

    and

    localisation

    of

    landmarks,

    which

    provide

    the

    basis

    or

    all further

    work.

    Distinction

    is

    made

    between

    anatomical

    and

    anthropological

    points which

    are

    located

    on or

    within

    the skeletal

    structures.

    Radiological

    or

    constructed

    points

    are

    secondary

    andmarks

    marking

    the

    int"er-

    sections

    of

    X-ray

    shadows

    r

    lines.

    1.1

    Properties

    f

    Reference

    oints

    1.1.1

    Ease

    of

    Location

    According

    to Moyers

    (1973), his

    depends

    on

    the

    following

    actors:

    1.1.1.1

    Quatity

    of

    the

    radiograph.

    The

    quality

    of

    the

    picture s often

    marred

    by

    magnification

    or

    distortion

    Magnification

    is

    due

    to

    divergence

    of

    the

    X-rays.

    The

    smaller

    the

    focus-film

    disianle

    and

    he

    greater he objEct-image

    istance,

    he

    greateris

    he

    magnification.

    Distortion arisesfrom two-dimensional

    epresentation

    of

    a three-dimensional

    object.

    All

    elements

    not

    in the

    ;rnag9

    pl$?

    are.subject

    o distortion.Accurate

    ."ntti.tg

    and

    positioning

    of

    the

    treia

    win hrgely

    eliminate

    t.

    The

    median

    or

    sagittaftlun.

    of

    the

    head'must

    be

    parallel

    and

    he

    central

    ay

    perpendicular

    o

    the

    film.

    1.1.t.2

    Overlapping

    anatomical

    contours.

    Facial

    structures

    verlap

    a

    great

    deal

    (see X-ray

    Anaiomi,

    pug. 23),

    so

    that

    the

    location

    of

    certain

    andmarks

    may

    present

    pioblems. S;;d

    ridiological

    peculiarities

    eed

    o be

    taken

    nto

    account

    n

    the

    selection

    of

    landmarks

    1.1;1.3 Observer

    experience.

    bserver

    experience

    nd

    pra-ctice

    lay a

    major,role

    in

    the

    interpretatibn

    of

    radiographs,

    with

    knowledgeof anatomy and X-ray

    anatomy

    as a

    key

    factor.

    1,.I.2 Constancy

    f

    Contours

    The

    structures

    of

    the

    skull

    show

    dependence

    n a

    number

    of

    factors

    such

    as

    age,

    sex,

    growth, race,

    etc.

    The

    constaniy

    of

    contolrs

    is

    therefore

    not

    entirely

    reliable

    in

    co-ntradistinction

    o

    points

    ocated

    close

    o

    the base

    of

    the skull,

    where

    variation

    due

    to

    growth

    is

    minimal

    (..g.

    nasion

    and

    sella).

    34

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    20

    LU

    Fig.17.

    Reference

    oints

    used

    on a routine

    asis.

    L.2

    Definition

    of Reference

    oints

    The points

    we

    use

    on a routine

    basis re shown

    n

    Fig. 17.

    Our definition

    of them s

    as ollows:

    23

    a

    No.

    Code

    Definition

    N

    Nasion.

    The

    most

    anterior

    point

    of the

    nasofrontal

    suture n the

    median plane.

    The

    skin nasion

    (N')

    is

    located

    at

    the

    point

    of

    maximum

    convexity

    between

    nose

    and torehead Fig.

    18).

    Setla.

    We use the midpoint of

    the

    sella (S)

    in

    our

    analysis,

    and

    also

    the midpoint

    of

    the entrance

    to the

    sella (S"),

    after

    A.M. Schwarz. he sellapoint (S) sdefinedas hemidpointof the

    hypophysial

    fossa.

    t is a constructed

    (radiological)

    point

    in the

    median plane.

    2

    35

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    Fig.

    18.

    Nasion

    and

    soft

    issue

    naslon'

    Fig.

    20.

    Subnasale,

    oint

    A

    and

    prosthion'

    t

    I

    T

    I

    I

    t

    t

    I

    I

    t

    I

    t

    I

    I

    I

    Fig.

    19.

    Localisation

    f

    S

    and

    Se'

    3

    se

    Midpoint

    of

    the

    entrance

    o

    the

    sella,according

    o

    A'M'

    Schwarz

    t

    thesamet.o" tu ' thejugumsphenoidale' ' indepe.ndent 'of ' the

    depth

    ot

    tfre

    seffa-

    This

    pdint

    represents

    he

    midp-oint:ii*:::

    connecting

    he

    posterioiclinoid

    process

    nd

    he

    anterror

    opemng

    of

    the

    sella

    urcica

    Fig'

    19)'

    4SnSubnasale.Askinpoint ; thepointatwhichthenasalseptum

    merges

    -"riuuj

    *iti

    ttre'integument

    of

    the

    upper

    lip

    (Fig.

    20).

    I

    I

    I

    I

    I

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    APMax

    Point

    A,

    subspinare.

    he

    deepest

    midline

    point

    n

    the

    curved

    bony

    outline

    rom

    the

    base

    o

    the

    alveorar

    rocess

    f

    the

    maxilla,

    .e.

    at

    the

    deepest

    oint

    between

    he

    anterior

    nasal

    pine

    and

    prosthion.

    In

    anthropology,

    t

    is

    known

    ,

    ,uurpirr"l.

    iFi;.'i,ii:-

    t

    The

    anteriorlandmark

    or

    d,etermining

    he

    ength

    f

    the

    maxiila.rt

    is

    constructed

    by droppingu p"rp.niicular f?;;;;i;t e to tt.

    palatal

    plane.

    Pr

    Prosthion

    Arveolar

    im

    of

    the

    maxilla;

    he

    owest,

    most

    anterior

    point

    on

    the

    arveorar

    ortion

    or

    trr.jr"*axilla,

    in

    the

    median

    plane,

    between

    he

    upper

    entral

    ncisfrs

    in

    g.20).

    Is (orIsl)

    Incisor,iy,:::t

    Tip

    of

    the

    crown

    of

    the

    most

    anterior

    max'lary

    central

    ncisor.

    Ap-l

    Apicale

    I.

    Root

    apex

    of

    the

    most

    anterior

    maxilrary

    entrar

    incisor.

    Ii (or

    s

    T)

    Incisor

    nkllts

    - Tivof thecrownof themostanteriormandibularcentral

    ncisor.

    ApT

    Apicare

    7.

    Root

    apex

    of

    the

    most

    anterior

    mandibular

    entral

    incisor.

    ld

    Infradentale.

    rveolar

    im

    of

    the

    mandibre;

    he

    highest,

    most

    anterior

    point

    on

    the

    alveorar

    rop.rr,

    ln

    tn.

    median

    plane,

    between

    he

    mandibular

    entral

    .ii"^

    tpi-g.

    Zt).

    B

    lolnt

    B,

    supramentale.Mostanteriorpart

    of

    the

    mandibularbase.

    It

    is

    the.mos_t

    osterior

    point

    "

    th;';;;.on,ou,

    of

    the

    man_

    dibular

    alveolarprocess,

    n

    the

    media;;i;;..

    h

    ""irrrip'"i"gy,'i,s knownassupiamentale,etweenniiul.ntule andpogonion

    (Fig.21).

    Pog

    Plsonio.y.

    y?rt anterior

    poinr

    of

    the

    bony

    chin,

    n

    the

    median

    plane

    Fig.

    21).

    A

    10

    11

    L2

    L3

    I4

    Fig.21.

    Infradentale,

    oint

    B

    and

    pogonion.

    37

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    Gn

    1,6

    Go

    Fig.22.

    Gonion

    and

    gnathion.

    Me

    15

    Gnathion.

    This

    point

    is

    defined

    in a

    number

    of

    ways,

    According

    to Martin

    and Saller

    1956),

    t

    is

    ocated

    n the

    median

    plne

    of

    the

    mandible,

    where

    thi

    anterior

    curve

    in

    the

    outline

    of

    the chin

    merges

    nio

    the

    body

    of

    the

    mandible.

    Many

    authors

    have

    ocated

    gnaihiott

    between

    he

    most

    anterior

    and

    he

    most

    nferiorpointof

    lhe

    chin.

    Graig

    defines

    it

    with

    the

    aid

    of

    the

    facial

    and

    the

    mandibularpla-ne;

    according

    o

    Graig,

    gnathion

    s the

    point of

    intersection

    of

    these

    wo

    planes.

    Muzi

    and May give it as the

    i;;;rt

    point of

    the chin

    (A.M.

    Schwarz

    ses

    he same

    definition)

    and

    therefore

    synonymous

    with

    Menton

    (Fig'

    22)'

    Our

    own

    definition

    of

    gnathion

    s as

    he

    most

    anterior

    and

    nferior

    point of

    the

    bony

    ctrin.

    tt

    is

    constructed

    by

    intersecting

    a line

    dr"*n

    perpendicularty

    o

    the

    line

    connecting

    Me

    and

    Pog

    with

    the

    bony

    outline.

    Gonion.

    A

    constructed

    oint,

    the

    ntersection

    f

    the

    ines

    angent

    to

    the

    posterior

    margin

    of

    ttt"

    ascending

    amus

    and

    the

    manibular

    base

    Fig.

    22).

    L7

    Menton.

    According

    to

    Krogman

    and

    Sassouni,

    Menton

    is

    the

    most

    caudal

    point

    ii the

    outline

    of

    the sy_mphysis;it

    s regardedas

    the

    lowest

    point of

    the

    mandible

    (Fig.

    23)

    and

    corresponds

    o

    the

    anthropological

    gnathion.

    The

    anterior

    landmark

    for

    determining

    he

    ength

    of

    the

    mandible.

    It is defined as the perpendicular dropped from Pog to the

    mandibular

    plane.

    38

    18

    APMan

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    T9

    Articulare.

    This

    pointwas

    ntroduced

    byBjork (1947).

    tprovides

    radiological

    orieritation, being

    the point

    of

    intersection

    of the

    posterior

    margin

    of

    the ascending amus

    and the

    outer margin

    of

    the

    cranial

    base

    Fig.2q.

    Condyli,on

    Most superior

    point

    on the

    head

    of the condyle

    (Fig.

    a) .

    Orbitale.lowermost point

    of the

    orbit in

    the radiograph Fig.

    25).

    A

    constructed

    point

    It is

    obtained

    by bisecting

    he

    Pn vertical,

    between

    ts

    intersectionwith

    the

    palatal

    plane

    and

    point

    N'.

    Intersection

    of the ideal Frankfurt

    horizontal

    and the

    posterior

    gnargin

    of the ascending amus.

    20

    2l

    22

    23

    Cd

    Or

    Pnl2

    Int.FFI/

    R.asc.

    Fig.23. Localisation

    f menton.

    Articulare

    and condylion.

    ig.24.

    39

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    24

    ANS

    PNS

    5

    25

    Anterior

    nasal

    pine.

    Point

    ANS

    is the

    tip

    of

    the bony

    anterior

    nasal

    pine,

    n the

    median

    lane

    ng'

    25)'

    It

    conesponds

    o

    the

    anthropological

    canthion'

    Posterior

    nasal

    spine.This

    s

    a

    constructed

    adiological

    oint,

    the

    intersection

    of

    Jcontinuation

    of

    the

    anterior

    wall of

    the

    pterygo-

    palatine

    ossa

    and

    he

    loor

    of

    the

    nose.

    t

    marks

    he

    dorsal

    imit

    of

    \

    \

    \-/

    \or

    \r/

    Fig.

    25.

    Orbitale,

    nterior

    nd

    27

    APOcc

    PPOcc

    Ba

    Ptm

    themaxilla Fig.25).

    Landmark

    for

    assessing

    he

    length

    of

    the

    maxillary

    base,

    n

    the

    posterior

    section.

    t

    is

    efined

    ai

    a

    perp'endicular

    ropped

    rom

    point S

    to

    a

    line

    extending

    he

    palatal

    plane'

    Anterior

    point

    for

    the

    occlusal

    plane.

    A

    constructed

    point,

    the

    midpoint

    in

    the

    incisor

    overbite

    n occlusion'

    Posteriorpoint

    for

    the occlusalplane. The most distalpoint of

    contact

    between

    he

    most

    posterior

    molars

    n

    occlusion.

    We

    also

    use

    he

    following

    landmarks

    see

    Fig'

    7 and

    8)'

    Basion.

    Lowest

    point

    on

    the

    anterior

    margin

    of

    the

    foramen

    magnum

    n the

    median

    Plane'

    Pterygomaxiltary

    issure.

    The

    contour

    of

    the

    fissure

    proje._cted

    onto

    itre

    palataipiane.

    The

    anterior

    w_all

    epresents

    he

    maxillary

    tuberosity

    outline,

    the

    posterior

    wall

    the

    anterior

    curve

    of

    the

    pterygoid

    process.

    This point correspondso PNS.

    posterior

    nasal

    sPine.

    S'

    6

    28

    29

    40

    30

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    .

    o\9

    E

    n^lt

    2

    c*'o

    1

    -vl

    * \ t r

    't''"

    K

    Fig.26.

    Reference

    ines

    used n

    our analysis.

    2

    Reference

    ines

    The points

    described

    above

    are

    used o

    construct

    a

    considerable

    umber

    of

    lines.

    Below

    is a

    description

    of the

    lines

    we most requently

    use

    (Fig.

    26).

    No.

    Line

    Definition

    1

    S-N

    (Se-N)

    2

    S-Ar

    .A

    J

    ar-uo

    4

    Me-Go

    5

    N-A

    Sella-nasion.

    nteroposterior

    extent

    of anterior

    cranial

    base

    Lateral

    extent

    of cranial

    base

    Length

    of ramus

    (1st

    measurement)

    Extent

    of mandibularbase Lstmeasurement)

    Nasion

    point

    A

    41

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    6

    7

    B

    9

    10

    11

    L2

    L3

    t4

    15

    t6

    t7

    18

    L9

    20

    2I

    22

    23

    24

    N-B

    Nasion

    Point

    B

    N-Pr

    Nasion

    Prosthion

    N-Id

    Nasion

    infradentale

    N-Pog

    Nasion

    Pogonion

    N-Go Nasion gonion ine, or analysisf the

    gonialangle

    Pal

    Palatal

    lane

    ANS-PNS)

    Occ

    Occlusal

    lane

    APOcc-PPOcc)

    S-Gn

    Y-axis

    S-Go

    Posterior

    acial

    height

    1-SN

    Long

    axis

    of upper

    ncisor

    o SN

    1-Pal

    Long

    axis

    of

    upper

    ncisor

    o

    Pal

    1-MP

    Long

    axis

    of

    lower

    ncisor

    o

    mandibular

    lane

    ManBase

    Extent

    of

    mandibular

    ase

    Go-Gn,

    2ndmeasurement)

    MaxBase

    Extent

    of

    maxillary

    ase

    APMax-PNS)

    R.asc.

    Cd-Go

    ength

    f

    ramus

    2nd

    measurement)

    S-S'

    Perpendicular

    rom

    pointS

    (starting

    rom

    he

    SN

    ine)

    o

    pointS'

    Pn

    ine

    Perpendicular

    o SeN,

    drawn

    rom

    the

    soft

    issue

    asion

    N) as

    far

    asPal

    Modified

    Frankfurt

    horizontal;

    parallel

    to

    the SeN

    line

    which

    bisects

    he Pn

    line

    from

    N

    to Pal

    (Pnlz-

    FH/R'asc')

    Aesthetic

    ine.

    Tip

    of

    nose

    soft

    tissuepogonion

    'H'line

    EL

    The

    reference

    lines

    enable

    us

    to

    make

    angular

    and

    linear

    measurements

    nd

    determine

    dimensions

    n the

    radiograph.

    The

    following

    angles

    re

    determined

    n a

    routine

    basis.

    3.1, Angles (Fig.27)

    3

    Angular

    and

    Linear

    Measurements

    Points

    of

    No.

    the

    angle

    Definition

    Mean

    value

    N-S-Ar

    S-Ar-Go

    Ar-Go-Me

    Sum

    Ar-Go-N

    Saddle

    angle

    Articular

    angle

    Gonial

    angle

    Sum

    of sella,

    articular

    and

    gonial

    angles

    Gor,

    upper

    gonial

    angle

    L23"

    X

    5"

    1"43"

    6"

    r28"

    t

    7"

    394"

    52"-55"

    42

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    I

    t

    \

    l+ l+ J

    Fig.27.

    The

    21 most requently etermined

    ngles.

    6

    7

    8

    9

    10

    LT

    L2

    T3

    T4

    15

    N-Go-Me

    SNA

    SNB

    ANB

    S-N-Pr

    S-N-Id

    Pal-MP

    Pal-Occ

    MP-Occ

    SN-MP

    Goz,

    lower

    gonial angle

    Anteroposteriorpositionof maxilla

    Anteroposterior

    position

    of

    mandible

    Difference

    between

    SNA

    and SNB

    Anteroposterior

    position

    of alveolar

    part

    of

    premaxilla

    Anteroposterior

    position

    of alveolar

    part

    of

    mandible

    Angle between

    palatal

    and

    mandibular

    plane

    Upper

    occlusal

    plane angle

    Lower

    occlusal

    plane

    angle

    Angle

    between

    SN

    and

    mandibular

    plane

    70":750

    81,'

    79"

    2"

    84'

    81_"

    25"

    L1_"

    14"

    32"

    43

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    16 Pn-Pal

    l7 N-S-Gn

    18

    1-sN

    19

    1-Pal

    20

    T-MP

    2I ii angle

    (L

    of incl.) Angle

    of

    inclincation fter

    A.M. Schwarz

    85'

    (Y-axis)

    Angle

    between

    SN

    line

    and S-Gn ine,

    anteriorly

    66"

    Angle betweenupper

    ncisor axisand SN line

    posteriorly

    102"

    Angle

    betweenupper

    ncisor axisand

    palatal

    plane,

    anteriorly

    70"

    t

    Angle between

    ower

    incisor axisand

    mandibular

    plane,

    posteriorly

    90"

    +

    Interincisalangle

    between

    upper

    and ower

    central

    ncisor

    axes,

    posteriorly 135'

    ) -

    ao

    J

    28

    3.2 Linear Measurernents

    Fig.

    8)

    Fig.

    28. The

    principal

    inearmeasurementssed

    n the analysis.

    44

    U

    U,I

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    We also

    measure

    he following

    inear distances.

    No. Distance Definition

    Mean

    value

    1

    S-N

    2

    S-Ar

    3

    S-Go

    4

    N-Me

    5

    MaxBase

    6

    ManBase

    7

    R.asc.

    8

    S'-F.Ptp.

    S-S'

    1-N-Pog

    T-N-rog

    (SeN)

    Anteroposteriorextent

    of

    anterior

    cranial

    base

    Extent of lateral

    cranialbase

    Posterior

    facial height

    Anterior facial height

    Extent

    of

    maxillary

    base,

    correlated

    with

    Se-N

    (see

    Table

    4,

    page

    62)

    Extent

    of

    mandibular

    base,correlated

    with

    SeN

    Extent

    of

    ascendingamus,correlated

    with

    SeN

    Distance rom

    S' to

    projection

    of the

    anterior

    wall

    of the

    pterygopalatinal

    ossa

    onto the palatal

    plane,

    expressionor anteroposterior

    displacement

    of the

    maxillary

    base

    Expression

    or

    deflections

    of the

    maxillary

    base 42-57

    mm

    Distance rom incisaledge

    of

    L

    to N-Pog

    ine

    Distance rom incisaledgeof T

    to N-Pog

    ine

    71mm

    32-35mm

    9

    10

    11

    It is

    not

    absolutely

    necessaryn

    practice

    to

    use

    hyphens

    between

    he.points

    used

    o

    define ines

    and angles,

    e.g. N-Pog

    =

    NFog, S-N-MeGo

    =

    SN-MeGo.

    45

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    29

    Significance

    f

    Angular

    and

    Linear

    Measurements

    or

    D

    ento-Skeletal

    nalYsis

    Dento-skeletal

    analysis

    n

    norma

    ateralis

    s carried

    out

    in

    three

    stages:

    (1)

    Analysis

    of

    facial

    skeleton

    (2)

    Analysis

    of

    mandibular

    and

    maxillary

    base

    (3)

    Dento-alveolar

    nalYsis

    Analys