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    Development of a Virtual Needle Biopsy Simulation System for

    the Virtual Prostate

    Daisuke Deguchi,1

    Kensaku Mori,1

    Yoshito Mekada,1

    Jun-ichi Hasegawa,2

    Jun-ichiro Toriwaki,1*

    and

    Masanori Noguchi3

    1Graduate School of Engineering, Nagoya University, Nagoya, 464-8603 Japan

    2School of Computer and Cognitive Sciences, Chukyo University, Toyota, 470-0393 Japan

    3School of Medicine, Department of Urology, Kurume University, Kurume, 830-0011 Japan

    SUMMARY

    This paper discusses the virtual prostate needle bi-

    opsy system and the construction of the virtual prostate

    model, considering the actual distribution of prostate ab-

    normalities. A needle biopsy simulation is performed for

    the constructed virtual prostate, and the actual biopsy pro-cedure in the clinical situation is evaluated. The prostate

    needle biopsy is a histologic diagnosis procedure in which

    a sample is acquired from the prostate tissue by needle

    biopsy and is inspected under a microscope. In order to

    achieve reliable prostate needle biopsy, it is necessary to

    consider systematically and numerically the number of

    needles required, and their locations and insertion angles.

    For such a purpose, a system is developed in which a virtual

    prostate is constructed on a computer and the biopsy pro-

    cedure is evaluated quantitatively by performing virtually

    the prostate needle biopsy. Furthermore, two different mod-

    els are constructed, for the prostate with and without hyper-

    trophy, based on the actual statistical distribution data for

    prostate abnormalities. Each model is partitioned into the

    peripheral zone and the transition zone. The constructed

    virtual prostate is input into the virtual needle biopsy simu-

    lation system, and three different systematic biopsy proce-

    dures actually used at clinical sites, and four different

    needle biopsy procedures, are experimentally evaluated.

    The experiments show that the insertion angle that maxi-

    mizes the hit probability is not always the same as the

    insertion angle that maximizes cancer sample acquisition.

    It is evident that the proposed method can indicate a biopsy

    procedure which realizes a high hit probability with a small

    number of needles. 2005 Wiley Periodicals, Inc. Syst

    Comp Jpn, 37(1): 93104, 2006; Published online in Wiley

    InterScience (www.interscience.wiley.com). DOI

    10.1002/scj.20181

    Key words: virtual prostate; prostate needle bi-opsy; virtual reality; quantitative evaluation.

    1. Introduction

    Prostate cancer is a cancer with a relatively low

    incidence rate, which is approximately 3.5% in Japan. In

    2005 Wiley Periodicals, Inc.

    Systems and Computers in Japan, Vol. 37, No. 1, 2006Translated from Denshi Joho Tsushin Gakkai Ronbunshi, Vol. J87-D-II, No. 1, January 2004, pp. 281289

    *

    Now affiliated with the Faculty of Information Science, Chukyo Univer-sity.

    Contract grant sponsors: Parts of this research were supported by a

    Grant-In-Aid for Scientific Research from the Ministry of Education, the

    21st Century COE program, a Grant-In-Aid for Scientific Research from

    the Japan Society for Promotion of Science, and a Grant-In-Aid for Cancer

    Research from the Ministry of Health and Welfare of the Japanese Gov-

    ernment.

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    European countries and the United States, on the other

    hand, it accounts for approximately 20% of deaths of males

    by cancer [1]. The incidence rate is increasing in Japan due

    to the rapidly westernizing lifestyle and the extension of the

    life span. In terms of cancer locations, the incidence rate is

    higher than those of lung cancer and colon cancer, and the

    highest of all urological diseases.

    It is now being intensively discussed whether it is

    worthwhile to apply prostate cancer examination as a na-

    tional project. Several reports have been presented on thevalidity of mass screening for prostate cancer. There still

    remain several points to be solved, however, before exami-

    nation is performed on the national level, and it is desirable

    to establish an efficient examination system [24].

    Means of examination for prostate cancer include

    PSA (prostate-specific antigen) determination, tactile ex-

    amination from the rectum, and ultrasonic tomography.

    When an abnormality is noticed, the next step generally is

    to perform a prostate needle biopsy. The prostate needle

    biopsy is a histologic examination procedure in which a

    tissue sample is acquired from the prostate by needle biopsy

    and is inspected by using a microscope. It is the only meansof diagnosing prostate cancer.

    In recent years, prostate examination by PSA has

    been widely applied, and the opportunity to detect prostate

    cancer in an early stage is increasing. Thus, an important

    issue is how tissue samples can be acquired accurately and

    securely from a small pathological site, which cannot be

    detected by tactile examination from the rectum. Further-

    more, thick 14-gauge needles (diameter approximately 2.1

    mm) have conventionally been used in prostate needle

    biopsy, which is fairly invasive, and only a limited number

    of needles can be used in the biopsy. Recently, thin 18-

    gauge biopsy needles (diameter approximately 1.2 mm)

    have come into use, and biopsy at six to eight points can be

    performed, which promotes safer and more reliable acqui-

    sition of samples [5].

    At present, systematic biopsy at six points is the most

    general procedure. However, it is not always true that the

    biopsy needle acquires a pathological sample, and it is

    necessary to investigate the biopsy procedure systemati-

    cally and numerically in terms of the number of needles,

    the locations, and the directions of insertion. It is thus

    required to develop a system that can evaluate the biopsy

    procedure quantitatively.

    In this context, we developed a prostate needle biopsy

    simulation system which can perform a virtual prostateneedle biopsy [6, 7]. This prostate needle biopsy simulation

    system performs a virtual needle biopsy for a virtual pros-

    tate which is constructed from the actual sample. Conse-

    quently, the experiment is based on the actual distribution

    of abnormalities. However, the pattern of abnormality dis-

    tribution that can be obtained is limited due to the limited

    number of extracted samples.

    Based on the partitioning of the prostate given in

    Refs. 811 and the anatomical observations of the prostate

    given in Refs. 1217, a virtual prostate model is constructed

    considering the incidence rate of abnormalities obtained

    from the statistical data. Virtual needle biopsy is applied to

    the model. Specifically, the procedure is as follows. The

    interior of the prostate is partitioned into the peripheral zone

    (PZ) and the transition zone (TZ). The volume ratio of the

    PZ and TZ varies according to whether prostate hypertro-

    phy is present. Consequently, the prostate model withouthypertrophy (normal model) and the model with hypertro-

    phy (hypertrophy model) are constructed. Then, an experi-

    ment is performed for a systematic biopsy with 6, 8, and 10

    needles, with the needle locations used in the clinical situ-

    ation, and for four other different needle locations. The

    performances of the biopsy procedure, as dependent on the

    needle locations, are compared and evaluated.

    In the following, Section 2 describes the virtual nee-

    dle biopsy simulation system. Section 3 describes the nor-

    mal and hypertrophic models of the prostate which are

    proposed in this paper. Section 4 describes each of the

    biopsy procedures under consideration. Section 5 presentsexperiments on the constructed model and their results.

    Section 6 gives a discussion.

    2. Virtual Needle Biopsy Simulation

    System

    2.1. Virtual needle biopsy simulation

    The virtual needle biopsy simulation is composed of

    the following four processes:

    (a) Definition of the reference plate in which to locate

    the virtual biopsy needles

    (b) Location of virtual biopsy needles in the reference

    plate

    (c) Determination of insertion angle of the virtual

    biopsy needles

    (d) Performance of virtual biopsy

    The detailed procedure is as follows. A left-hand coordinate

    system is used in the description in this paper, and clock-

    wise rotation is defined as positive.

    (a) Definition of reference plate

    The reference plate in which to locate the virtual

    biopsy needle is defined as the rectangular region which

    corresponds to the range of needle insertion in a clinical

    examination. The plate is determined by specifying three

    points (Ltop, Lbot, Rbot) on the plane, as shown in Fig. 1.

    Specifically, a plane tangent to the rectal side of the prostate

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    is considered. The reference plate is defined so that it is

    tangent to the projection of the prostate onto the above

    plane, and LbotLtop

    agrees with the direction from the cusp

    of the prostate to the seminal vesicle (SV). The positive

    direction of the normal to the reference plate is defined as

    the direction from the rectal side to the prostate.

    All biopsy needles are located on this reference plate.

    The unit vectors H, V, and N that determine the direction

    of the reference plate are defined as follows:

    Here denotes the vector product, and |||| denotes the

    Euclidean norm of a vector.

    (b) Location of virtual biopsy needle

    AnMNgrid is defined on the reference plate. An

    arbitrary grid point p(i) is selected on the grid and is defined

    as the location of the virtual biopsy needle(i) on the refer-

    ence plate. The grid point p(i) is defined as follows usingm(1 m

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    insertion angles 1(i) and 2

    (i). Specifically, d(i) is derived by

    the following procedure.

    (1) H is defined as the rotation axis, and d0(i) is rotated

    by 1(i). Let the obtained unit vector be d1

    (i).

    (2) H is defined as the rotation axis, and d0(i) is rotated

    by 1(i) 90. Let the obtained unit vector be d2

    (i).

    (3) d2(i) is defined as the new rotation axis, and d1

    (i) is

    rotated by 2(i). Let the obtained unit vector be d(i).

    (d) Virtual needle insertion

    The virtual needle insertion is performed on the basis

    of the needle insertion parameters of the virtual biopsy

    needle(i), which are the location p(i), the insertion direction

    vector d(i), the length of sample acquisition from the tip of

    the biopsy needleL(i), the radius of the needleR(i), and the

    depth of insertion l(i), as shown in Fig. 3. We setL(i)l(i).

    The set of voxels S(i) where the tissue sample can be

    acquired by the virtual biopsy needle is expressed as fol-

    lows. The start location s(i) and the tip location e(i) are

    expressed as

    Then,

    (where denotes the scalar product of vectors). In other

    words, the voxels that can be acquired by a virtual needle

    insertion are the interior of a cylindrical region with the

    segment connecting the start location s(i) and the tip location

    e(i) as the center and with radiusR(i).

    In S(i) and in the prostate, let the set of abnormal

    voxels be A(i). Specifically,A(i) is the set of voxels which

    are classified as abnormal in the virtual prostate within

    S(i), satisfying Eq. (4). In practice, tissue other than the

    prostate may be sampled in the virtual biopsy needle. In thissystem, such a region is classified as normal.

    2.2. Quantitative evaluation of needle biopsy

    procedure

    In needle biopsy, a determination is made for each

    inserted biopsy needle whether the abnormal sample has

    been acquired, and if it has been acquired, the volume of

    the acquired tissue is calculated. When a virtual biopsy

    needle acquires an abnormality, it is called a hit. It is clinical

    knowledge that the physician can detect the disease if at

    least 1% of the tissue volume acquired by a biopsy needleis abnormal. In other words, the following decision formula

    is used:

    When at least one of the biopsy needles in the needle biopsy

    procedure is a hit, the needle biopsy procedure is called a

    hit.

    The total volume of the abnormal sample acquired by

    the needle biopsy procedure is defined as follows, using the

    set of abnormal voxelsA(i) acquired by each virtual biopsyneedle, the volume of a voxel, and the total number Nof

    virtual biopsy needles inserted in the needle biopsy proce-

    dure:

    Here, || denotes the number of pixels contained in the set.

    Based on the above definition, the biopsy procedure is

    evaluated quantitatively below by using the hit probability

    and the average cancer acquisition volume.

    2.2.1. Hit probability

    The hit ratio in the case of virtual needle biopsy is

    defined as the hit probability of the needle biopsy proce-

    dure. It is calculated as follows:

    hit probability[%] =number of hit cases

    total number of cases 100 (7)

    (3)

    Fig. 3. Parameter representation of the virtual biopsy

    needle.

    (2)

    (4)

    (5)

    (6)

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    2.2.2. Average cancer acquisition volume

    The abnormal volume per sample acquired by the

    needle biopsy procedure is defined as the average cancer

    acquisition volume. It is calculated as follows:

    average canceracquisition volume

    =total volume of acquired cancer

    totalnumber ofcases (8)

    The above volume divided by the number of biopsy needles

    is the average volume of the cancer tissue that can beacquired by a biopsy needle.

    3. Virtual Prostate Model

    It is impossible to partition the prostate into PZ and

    TZ regions by using only the three-dimensional X-ray CT

    density values. Consequently, a schematic figure of the

    prostate is constructed as in Fig. 4, based on the partition

    inside the prostate [811] and the anatomical observations

    inside the prostate [1217]. Then, the interior region of the

    prostate is partitioned.

    As shown in Table 1, the abnormality incidence ratediffers between the PZ and TZ regions in the prostate.

    Consequently, the volume ratio also differs. The virtual

    prostate model is constructed so that the volume ratio and

    the abnormality incidence rate shown in Table 1 are real-

    ized. It should also be noted that the ratio of the PZ and TZ

    regions in the prostate differs between prostates with and

    without hypertrophy. Consequently, two virtual prostate

    models are constructed, namely, the prostate model for

    hypertrophy (hypertrophy model) and the prostate model

    without hypertrophy (normal model). Specifically, the

    shape of the prostate is assumed to be an ellipsoid, and the

    inside is partitioned [18, 19].

    As the normal model, each cross section of the actu-ally excised three-dimensional X-ray CT image is parti-

    tioned into PZ and TZ regions manually, based on the

    schematic figure as shown in Fig. 4. Figure 5(a) shows the

    cross sections of the constructed virtual prostate. Panels (b),

    (c), and (d) are the three-dimensional representations. The

    shape of the hypertrophy model is assumed to be an ellip-

    soid. As shown in panel (e), the region within a certain

    distance from the rectal side surface of the prostate is

    defined as the PZ region. As in the normal model, panels

    (f), (g), and (h) give a three-dimensional representation of

    the hypertrophy model.

    Table 2 shows the specifications for the virtual pros-tate, the constructed normal model, and the hypertrophy

    model. As is evident from the table, the constructed virtual

    prostate satisfies the volume ratio conditions in Table 1. The

    shapes of the PZ and TZ regions were examined by the

    physician, and were judged to be adequate.

    4. Needle Biopsy Procedure

    4.1. Systematic biopsy

    The systematic biopsy focuses systematically on the

    PZ, which is the most common site of prostate cancer, as

    shown in panels (a), (b), and (c) of Fig. 6. By systematically

    applying the biopsy, a detection rate which is twice that of

    directed biopsy focusing on the hypoechoic region in ultra-

    Fig. 4. Definition of PZ and TZ inside the prostate.

    Table 1. Volume ratio of the PZ, TZ, and CZ inside the prostate, and probabilities of the incidence of prostate cancer

    within each region

    PartitionPZ

    (peripheral region)

    TZ

    (transition region)

    CZ

    (central region)

    Ref. 9 Volume ratio

    Cancer incidence rate

    6570%

    68%

    510%

    24%

    25%

    8%Ref. 12 Volume ratio

    Cancer incidence rate

    70%

    70%~

    5%

    20%

    25%

    510%

    Proposal Normal model

    2030 ml

    Volume ratio

    Cancer incidence rate

    60%

    75%

    40%

    25%

    Hypertrophy model

    above 50 ml

    Volume ratio

    Cancer incidence rate

    10%

    75%

    90%

    25%

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    sonic tomography is realized [5]. The 8-needle systematic

    biopsy is the needle location method in which 2 needles for

    the extensive protocol, directed to the deeper side of the

    prostate as seen from the rectal side, are added to the

    6-needle arrangement shown in Fig. 6(a). The 10-needle

    systematic biopsy consists of the addition of 4 extensive

    protocols to the PZ side.

    4.2. New biopsy needle locations

    [Needle placement 1] We wish to cover the 10-needle

    systematic biopsy locations [4 needles added as in Fig. 6(c)

    to the 6-needle systematic biopsy arrangement shown in

    Fig. 6(a)] with 6 needles located at the vertices of a normal

    hexagon.

    [Needle placement 2] The needles are located at the

    vertices of the normal hexagon, as in placement 1, and the

    top two needles to be inserted into the cusp of the prostate

    [top two needles in Fig. 6(e)] are shifted toward the center

    of the prostate.

    [Needle placement 3] We wish to cover the 8-needle

    biopsy placement [2 needles added as shown in Fig. 6(b) tothe 6-needle systematic biopsy placement shown in Fig.

    6(a)], with the 6 needles being arranged in an H pattern.

    [Needle placement 4] A needle directed toward the

    central region is added to needle placement 1, so that the

    needles are located at the vertices of a normal pentagon and

    also at the center of gravity.

    5. Experiment

    The prostate needle biopsy simulation system de-

    scribed in this paper was implemented on a computer andwas applied to the proposed normal and hypertrophy mod-

    els. Based on the data in Table 1, the incidence rates of

    abnormalities in the constructed models were set as 75%

    for the PZ region and 25% for the TZ region. Four thousand

    virtual prostate samples were constructed, generating one

    Fig. 5. Created virtual prostate model. (a) shows slices

    of the regular size prostate model, and its 3D shapes are

    shown in (b), (c), and (d). Slices of the prostate model of

    hypertrophy are shown in (e), and its 3D shapes are

    presented in (f), (g), and (h).

    Table 2. Acquisition parameters of each prostate model

    PZ

    (peripheral region)

    TZ

    (transition region)PZ+TZ

    Normal model Number of pixels 574631 392211 966842

    Volume [ml] 14.5 9.9 24.4

    Volume ratio 59% 41% 100%

    Hypertrophy model Number of pixels 205945 1848728 2054673

    Volume [ml] 5.2 46.5 51.7

    Volume ratio 10% 90% 100%

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    spherical abnormality each. We set the volume of the gen-

    erated abnormality in accordance with a normal distribution

    with a mean of 2 ml and a standard deviation of 1 ml.

    The reference plate on which the virtual biopsy nee-

    dles were placed was defined as a rectangle in external

    contact with the rectal side of the prostate, as in Fig. 1. The

    parameters of the virtual biopsy needle to be inserted were

    chosen as follows, based on data on clinically used biopsy

    needles. The length of tissue sample acquisition wasL = 15

    mm from the tip of the biopsy needle. The depth of needleinsertion was l = 15 mm (l = 20 mm for only the extensive

    protocols in the eight-needle systematic biopsy). The radius

    of the needle wasR = 0.6 mm. The needle insertion angle

    was 30 1 50 and 40 2 40 (deg).

    A rotation of1 > 0 was defined as the rotation from

    the normal direction of the reference plate to the SV region

    side. Rotation by 2 was defined symmetrically with respect

    to the left and right from the reference plate. A needle

    rotation of2 < 0 was from the direction of the center of

    the reference plate, and a rotation of2 0 (deg) was toward

    the outer side of the reference plate. The computer used in

    the experiment was a Dual AthlonMP 1800

    +

    , Win-dows2000.

    6. Discussion

    Figures 7 and 8 show the average hit probability

    distributions when 1 and 2 are varied in the normal model

    and the hypertrophy model, respectively. As is evident from

    the figures, the obtained hit probability distribution differs

    for the normal and hypertrophy models. The reason for the

    difference is that the volume percentage of the PZ region,

    where the cancer incidence is high, differs greatly in the

    normal and the hypertrophy models. In particular, the hit

    probability does not change much in the hypertrophy model

    if the insertion angle is varied. This is attributed to the small

    volume of the PZ region, where the cancer incidence rate is

    high.

    Experiments were performed for the seven different

    needle biopsy procedures shown in Fig. 6. It is evident that

    the 10-needle systematic biopsy and needle placement 1

    give higher hit probabilities in the range of this experiment

    (Table 3). In particular, needle placement 1 gives a higher

    value than the 8-needle systematic biopsy, even though only

    6 biopsy needles are used. It is clear from Table 4, on the

    other hand, that a smaller volume of cancer samples can beacquired by needle placement 1 than by the other place-

    ments.

    Fig. 6. Locations of virtual needles inside biopsy plane for each biopsy method. (a), (b), and (c) show systematic 6, 8, and

    10 biopsy methods, and (d), (e), (f), and (g) show biopsy method 1, 2, 3, and 4, respectively.

    Fig. 7. For the regular size prostate model, the change of average hit probabilities (AHP) as 1 and 2 change. (a), (b), and

    (c) show the results of systematic 6, 8, and 10 biopsy methods, respectively. (d) shows the results of biopsy method 1.

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    Thus, by using the proposed system, a needle place-

    ment that can achieve a high cancer detection rate with

    fewer insertion needles can be sought, considering the

    cancer incidence rate distribution and the size of the pros-

    tate. Furthermore, the relation between the hit probability

    and the acquired cancer sample volume can be investigatednumerically. Even if it is difficult to perform a procedure in

    a clinical situation, an a priori evaluation can be made.

    In the experiments with the 4000 cases of virtual

    prostate that were constructed, 7 hours of calculation were

    required per virtual biopsy needle when the angles were

    varied as 30 1 50 and 40 2 40 (deg). This

    corresponds to virtual needle insertion for approximately

    2.6 107

    patterns, which is a tremendous amount of com-putation. When simulations are performed for various pro-

    cedures to be matched to individual patients, the

    Fig. 8. For the hypertrophic prostate model, the change of average hit probabilities (AHP) as 1 and 2 change. (a), (b), and

    (c) show the results of systematic 6, 8, and 10 biopsy methods, respectively. (d) shows the results of biopsy method 1.

    Table 3. For the regular size prostate model and the hypertrophic prostate model, mean, standard deviation,

    and maximum of the average hit probabilities when 1 and 2 change

    (a) Regular size prostate model

    Average

    [%]

    Standard

    deviation

    Maximum

    [%](1, 2)

    6-needle systematic biopsy 51.4 8.45 66.9 (2, 7)

    8-needle systematic biopsy 52.2 8.62 67.1 (2, 11)

    10-needle systematic biopsy 62.9 9.92 82.0 (4, 3)

    Needle location 1 53.8 9.92 71.4 (4, 4)

    Needle location 2 52.2 8.71 68.1 (14, 1)

    Needle location 3 53.0 7.52 66.2 (2, 5)

    Needle location 4 52.3 9.76 69.0 (8, 3)

    (b) Hypertrophic prostate model

    Average

    [%]

    Standard

    deviation

    Maximum

    [%](1, 2)

    6-needle systematic biopsy 53.0 5.86 65.7 (37, 40)

    8-needle systematic biopsy 52.2 5.50 64.6 (43, 40)

    10-needle systematic biopsy 70.0 2.98 74.4 (35, 2)

    Needle location 1 56.8 3.87 61.8 (50, 3)

    Needle location 2 50.5 4.26 60.7 (50, 1)

    Needle location 3 51.7 3.48 60.6 (47, 40)

    Needle location 4 51.7 3.39 59.1 (49, 30)

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    computation time will be a serious problem. Speed im-

    provement of the proposed system should be investigated

    in the future.

    7. Conclusions

    In this study, the virtual prostate model was con-

    structed, based on anatomical knowledge and statistical

    data on the abnormality distributions. A prostate needle

    biopsy simulation system was developed on the basis of the

    model. Systematic biopsy procedures used in clinical situ-

    ation, together with four other needle placement proce-

    dures, were considered. A quantitative evaluation is

    performed in terms of the hit probability and the average

    cancer sample acquisition volume.

    It was shown that by using the prostate needle biopsy

    simulation system proposed in this paper, large-scale ex-periments that are impossible in an actual clinical situation

    can be performed, allowing the effectiveness of parameters

    such as the number of biopsy needles and the insertion angle

    to be investigated systematically. Furthermore, by con-

    structing two models with and without prostate hypertro-

    phy, a simulation more closely approximating a real

    prostate can be achieved. Experiments show that the needle

    insertion angle that maximizes the hit probability is not

    always the same as the insertion angle that maximizes the

    acquired volume. It is verified that there exists a needle

    biopsy procedure that can achieve a high hit probability

    with fewer needles.

    Problems remaining for the future include evaluation

    experiments using a large number of samples, the search for

    an optimal biopsy procedure using the proposed system,

    speed improvement of the proposed system, and evaluation

    by physicians.

    Acknowledgments. The authors are grateful for

    continued discussions with members of the Toriwaki and

    Suenaga Laboratories at Nagoya University. They espe-

    cially acknowledge the assistance provided in most of the

    experiments by Mr. S. Kodama of the Toriwaki Laboratory

    (now of the Graduate School, University of Tokyo). Parts

    of this research were supported by a Grant-In-Aid for

    Scientific Research from the Ministry of Education, the

    21st Century COE program, a Grant-In-Aid for Scientific

    Research from the Japan Society for Promotion of Science,

    and a Grant-In-Aid for Cancer Research from the Ministry

    of Health and Welfare of the Japanese Government.

    Table 4. For the regular size prostate model and the hypertrophic prostate model, mean,

    standard deviation, and maximum of the average cancer volume acquired by a biopsy

    method when 1 and 2 change

    (a) Regular size prostate model

    Average

    [mm3]

    Standard

    deviation

    Maximum

    [mm3]

    (1, 2)

    6-needle systematic biopsy 5.42 0.68 6.35 (8, 39)

    8-needle systematic biopsy 5.53 0.59 6.32 (4, 13)

    10-needle systematic biopsy 7.88 1.87 10.20 (1, 40)

    Needle location 1 4.64 1.24 6.11 (0, 24)

    Needle location 2 5.06 1.17 6.20 (5, 39)

    Needle location 3 5.21 0.69 6.19 (6, 40)

    Needle location 4 4.82 1.23 6.20 (4, 29)

    (b) Hypertrophic prostate model(1, 2)

    Average

    [mm3]

    Standard

    deviation

    Maximum

    [mm3]

    (1, 2)

    6-needle systematic biopsy 4.27 0.51 5.43 (31, 40)

    8-needle systematic biopsy 4.23 0.51 5.56 (50, 40)

    10-needle systematic biopsy 7.36 0.63 9.38 (50, 40)

    Needle location 1 4.48 0.44 5.50 (50, 40)

    Needle location 2 4.24 0.42 5.39 (50, 22)

    Needle location 3 4.34 0.34 5.55 (50, 40)

    Needle location 4 4.10 0.40 5.11 (50, 40)

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    AUTHORS

    Daisuke Deguchi (student member) received a B.S. degree in 2001 from the Faculty of Engineering at Nagoya University

    and is now an M.E. degree candidate. He is engaged in development of flexible endoscope navigation system and prostate needle

    biopsy simulation system.

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    AUTHORS (continued) (from left to right)

    Kensaku Mori (member) received his B.S. degree in electronics engineering, M.S. degree in information engineering,

    and Ph.D. degree in information engineering from Nagoya University in 1992, 1994, and 1996. He was a research fellow of the

    Japanese Society for the Promotion of Science (JSPS) from 1994 to 1997, a research associate in the Department of

    Computational Science and Engineering at Nagoya University from 1997 to 2000, and an assistant professor in 2000. He became

    an associate professor at the Research Center for Advanced Waste and Emission Management of Nagoya University in 2001.

    He was a visiting associate professor in the Department of Neurosurgery at Stanford University from 2001 to 2002. He is

    currently an associate professor in the Graduate School of Information Science, Nagoya University. His current research interests

    include three-dimensional image processing, computer graphics, virtual reality and their applications to medical image. He

    received an award for the encouragement of research from the Japanese Society of Medical Imaging Technology in 1995, a

    paper award from the Japanese Society of Biomedical Engineering in 1997, the Niwa Award from the Niwa MemorialFoundation in 1998, and a Certificate of Merit award from the Radiological Society of North America in 2004. He is a member

    of IEICE, IEEE, Japanese Society of Biomedical Engineering, and Japanese Society of Medical Imaging Technology.

    Yoshito Mekada (member) received a B.S. degree in 1991 from the Department of Information, Faculty of Engineering,

    Nagoya University, completed the second half of the doctoral program in 1996, and became a research associate in the

    Department of Information Engineering at Utsunomiya University. He was appointed an associate professor of information

    engineering in 2001 at the Graduate School of Engineering, and an associate professor of media science in 2003 at the Graduate

    School of Information Science, Nagoya University. He moved to the School of Life System Science and Technology at Chukyo

    University as a professor in 2004. He is engaged in development of image processing and pattern recognition technology, and

    in research on their applications to medical image analysis. He holds a D.Eng. degree, and is a member of the Japan Medical

    Image Engineering Society, Computer-Assisted Diagnostics Society, IEEE.

    Jun-ichi Hasegawa (member) received his B.S. degree in electrical engineering and M.S. and Ph.D. degrees in

    information engineering from Nagoya University in 1974, 1976, and 1979. He was a research associate and a lecturer with the

    Faculty of Engineering from 1979 to 1987. He moved to the School of Liberal Arts at Chukyo University as an associate professor

    in 1987, and became a professor in the School of Computer and Cognitive Sciences in 1992. He is currently a professor and a

    dean of the School of Life System Science and Technology. His research interests are in the area of pattern recognition, image

    understanding, and their applications to medicine and sports. He is a member of IPSJ, JSAI, JSMEBE (currently JSMBE),

    JAMIT, CADM, JSSF, and IEEE CS.

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    AUTHORS (continued) (from left to right)

    Jun-ichiro Toriwaki (member) received a B.S. degree in 1962 from the Department of Electronic Engineering at Nagoya

    University and completed the doctoral program in 1967. After serving as a research associate and an associate professor in the

    Faculty of Engineering, he became an associate professor at the Computer Center in 1974. He was appointed a professor at

    Toyohashi University of Technology in 1980. He moved to the Faculty of Engineering (later Faculty of Information Engineering,

    Graduate School of Engineering) at Nagoya University in 1983, and retired in 2003 under the age limit. Since then, he has been

    a professor at Chukyo University and professor emeritus at Nagoya University. He has been engaged in research on pattern

    recognition, image processing, graphics, and their applications to medical information. Recently he has been focusing on

    three-dimensional image processing, computer surgery, computer-assisted diagnosis, and virtual endoscopy. He is the author

    ofDigital Image Processing for Image Understanding I, II(Shokodo), Three-Dimensional Digital Image Processing(Shokodo),

    Recognition Engineering (Corona Company), and other books. He is a member of the Information Processing Society,

    Computer-Assisted Image Diagnostics Society, and IEEE.

    Masanori Noguchi received an M.D. degree in 1980 from Kurume University School of Medicine. He has been an

    associate professor in the Department of Urology since 2003. He was a visiting researcher in the Department of Urology at

    Stanford University from 1998 to 2000. He is a member of the Japanese Urological Association, Japan Society of Clinical

    Oncology, Japan Cancer Society, Japanese Society of Endourology and ESWL, European Urological Association, and American

    Urological Association.

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