chap2d at strip1

7/28/2019 Chap2D at Strip1

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Chapter 2D_AT_Strip

Aero-Triangulation (AT)

Compiled & developed by

Saptomo H Mertotaroeno, Ir., M.Sc.

[email protected]

Materi kuliah GD4103 Fotogrametri II, Semester II-2012/2013

KK Inderaja & Sains Informasi Geografis

Fakultas Ilmu dan Teknologi Kebumian

Institut Teknologi Bandung


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POLYNOMIAL STRIP AND BLOCKADJUSTMENT

Strip Formation Strip Deformation after Strip Formation Process

The Schuts Polynomial Adjustment Methods

Performace of Polynomial Adjustment

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7/22/2013 7:42 PM 3Aero-Triangulation (2A), SHM

Sequential Strip Formation

in Analog Instrument (Multiplex)


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Sequential Construction

of a Strip Model from

Independent Models(Strip Formation)

(a).Three adjacent relatively oriented

stereo-models.(b).Individual arbitrary (horizontal) co-

ordinate systems of three adjacent

stereo-models.

(c).Continuous strip of stereo-models

formed by numerically joining the

individual arbitrary coordinate sys-

tems into one system.

The strip coordinate system (X1 , Y1) is co-

incide with coordinate system ofmodel-1.


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Sequential

Construction of a

Strip Model from

Independent Models

(Strip Formation)

Aero-Triangulation (2A), SHM

(strip coord.

system)


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Strip Deformation

after Strip Formation

Process

During the process of tying each

successive model in the strip to the

one before it, systematic errors in

the image coordinates accumulateto warp the strip.

Those deformations are corrected

by polynomial adjustment method-

s.

One set of equations is solved for

the planimetric (X, Y) coordinates,

while another models the Z trans-

formation.


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The Schuts Polynomial Adjustment Methods (1)

Developed at the National Research Council of Canada, uses :

conformal polynomials for the planimetric adjustment, and

a separate polynomial for the vertical adjustment.


2

2

2

1

4

4

3

3

2

21

4

3

3

2

2

1120

23

8

32

75

22

6342

32

8

23

76

22

5431

22

332

332

xyeyeyxdyxdyxdxydxcxcxcybxbbzz

...)yxx(a)yyx(axya)yx(ayaxaayy

...)yyx(a)xyx(axya)yx(ayaxaaxx

(8 parameters/strip forplanimetricadjustment, and

12 parameters/stripforverticaladjustment)

The coefficients of the polynomials are computedafter first scal-

ing and translating (norotation) the strip coordinates into the

world coordinate system.


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Strip 1

Strip 1

Strip 2

Strip 2

Strip 3

Strip 3

Titik ikat (tie point)

Titik kontrol tanahSEBELUM PERATAAN

SESUDAH PERATAAN

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Polynomial Adjustment

The Schuts Polynomial Adjustment Methods (2)

If a block adjustment is to be

performed, each strip is a-djusted sequentially, using a-

djusted tie points from the

previous strip, until the a-

djustments between strips

become negligible.

Once the adjustment is com-

pleted, the adjusted world

coordinates of the tie pointsare computed, and these po-

int are used to set up stereo-

models for map compilation.

Aero-Triangulation (2A), SHM


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Performance of Polynomial Adjustment

Polynomial adjustment is computationally economical, since

only the polynomial coefficients must be computed.

This method was therefore well suited to the limited computational

power available in the early 1960s.

However, its accuracy is low since the image geometry is not

directly modeled and only gross effects can be corrected.

Polynomial adjustment is no longer used in practice, other than

occasionally to generate tie point coordinate approximations

for a bundle adjustment, since the cost of the computational power required for a more accu-

rate bundle adjustment is much less than that of the additional control

points required to obtain satisfactory results with polynomial methods.



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To be continued toChapter 2E_AT_IMT

Aero-Triangulation (AT)Compiled & developed bySaptomo H Mertotaroeno, Ir., M.Sc.

[email protected]

Materi kuliah GD4103 Fotogrametri II, Semester II-2012/2013

KK Inderaja & Sains Informasi Geografis

Fakultas Ilmu dan Teknologi Kebumian

Institut Teknologi Bandung

chap2d at strip1

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