itkPointShell.txx

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#ifndef __itkPointShell_txx__
#define __itkPointShell_txx__

#include "vnl/vnl_vector_fixed.h"
#include "vnl/vnl_matrix_fixed.h"

namespace itk
{

#define DIST_POINTSHELL_PI 3.14159265358979323846


  template<int NPoints, class TMatrixType >
  TMatrixType * 
    PointShell<NPoints, TMatrixType >
    ::DistributePointShell()
  {

    vnl_vector_fixed<double,NPoints> *theta
      = new vnl_vector_fixed<double,NPoints>();

    vnl_vector_fixed<double,NPoints> *phi
      = new vnl_vector_fixed<double,NPoints>();

    double C = sqrt(4*DIST_POINTSHELL_PI);

    (*phi)(0) = 0.0;
    (*phi)(NPoints-1) = 0.0;

    for(int i=0; i<NPoints; i++)
    {
      (*theta)(i) = acos(-1.0+2.0*i/(NPoints-1.0)) - DIST_POINTSHELL_PI / 2.0;
      if( i>0 && i<NPoints-1)
      {
        (*phi)(i) = ((*phi)(i-1) + C / 
          sqrt(NPoints*(1-(-1.0+2.0*i/(NPoints-1.0))*(-1.0+2.0*i/(NPoints-1.0))))); 
        // % (2*DIST_POINTSHELL_PI);
      }
    }

    vnl_matrix_fixed<double, 3, NPoints> *pointshell
      = new vnl_matrix_fixed<double, 3, NPoints>();

    for(int i=0; i<NPoints; i++)
    {
      (*pointshell)(0,i) = cos((*theta)(i)) * cos((*phi)(i));
      (*pointshell)(1,i) = cos((*theta)(i)) * sin((*phi)(i));
      (*pointshell)(2,i) = sin((*theta)(i));
    }

    return pointshell;
  }

    // generate by n-fold subdivisions of an icosahedron

  // 1 - 12
  // 2 - 42
  // 3 - 92
  // 4 - 162
  // 5 - 252
  // 6 - 362
  // 7 - 492
  // 8 - 642
  // 9 - 812
  // 10 - 1002

  template<> class PointShell<12, vnl_matrix_fixed<double, 3, 12> >
  {    
  public:
    static vnl_matrix_fixed<double, 3, 12>* DistributePointShell()
    {
      double coords[3*12] = {
        0.250254,0.320072,0.437594,
        0.550563,0.623196,0.975676,
        -0.250253,-0.320073,-0.437593,
        -0.550563,-0.6231950000000001,-0.975676,
        -0.916162,-0.078054,-0.598061,
        0.758025,0.436642,-0.177816,
        0.916161,0.078054,0.598061,
        -0.758024,-0.436643,0.177817,
        -0.313083,-0.944171,0.671442,
        -0.349682,0.648821,-0.128204,
        0.313082,0.944172,-0.671442,
        0.349683,-0.648822,0.128204 };

        vnl_matrix_fixed<double, 3, 12> *pointshell
          = new vnl_matrix_fixed<double, 3, 12>(coords);

        return pointshell;
    } 
  };


  template<> class PointShell<42, vnl_matrix_fixed<double, 3, 42> >
  {    
  public:
    static vnl_matrix_fixed<double, 3, 42>* DistributePointShell()
    {
      double coords[3*42] = {
        0.9756767549555488,0.9397937974509784,0.6231965669156312,
        0.8971014254962764,0.6899186612252972,0.5505632701289798,
        0.4375940376503738,0.06907711216819172,-0.3200730131503601,
        0.6235168560971455,0.1781713819192711,0.3200724178002418,
        0.7616224484252742,0.5117469206751248,0.2502538949373057,
        0.4043068999720243,0.7205836671095894,0.8306996157029517,
        -0.4375932291383154,-0.06907715072573903,0.06640211724156461,
        -0.6231952788307174,-0.2192092047974508,-0.1781713502362079,
        0.3352293490184233,-0.2502532651867688,-0.4043060780204903,
        0.1765178736510398,-0.975676581463901,-0.9397935597648752,
        -0.8306992108488227,-0.6235158879179115,0.21921067448898,
        -0.7616223457476226,-0.3352294641675141,-0.7205834943870382,
        -0.5117470172320778,-0.06640153973221416,-0.5505634949474448,
        -0.176517304179968,-0.6899183532182501,-0.8971016370404784,
        -0.1778161375899129,0.1521341729788544,0.4366423972091847,
        0.3410385404813853,0.7022080829625521,0.7580253719184177,
        -0.5980610514568759,-0.3056524524744078,0.07805400320688782,
        -0.09487972868743588,0.3025309778153461,-0.07805410188638827,
        -0.1503967869358663,0.3996773221825281,-0.9161616153729887,
        -0.8900379255247358,-0.6430242175142256,-0.4560492515462431,
        0.5980613131647216,0.3056526230838691,0.797087559189558,
        -0.4366431953633789,-0.7951587738972527,-0.3025315118038733,
        -0.5843857415998933,0.9161619708326186,0.8900381161951118,
        0.9840623116657442,0.1778171059718252,-0.1521342296531137,
        0.4560499397602033,0.09487917246041,0.7951586652134927,
        0.1503972383762518,0.584385354546882,0.6430245879023526,
        -0.399676350745083,-0.7970870947583816,-0.7580246814516085,
        -0.9840624137666333,-0.7022083677250226,-0.3410374453295617,
        -0.1282040992012935,0.3060111300013609,0.6488215902264565,
        -0.2808945465452747,0.1758296024995542,-0.3496821715684524,
        0.6714420577705413,0.9496341036793501,0.9441720387917811,
        0.7760312926982584,0.9363385958760152,-0.9441722324566724,
        -0.6303269409870232,-0.7605084662990487,-0.3130828685601688,
        0.2106381298878163,-0.2593820240207756,0.3193074202631062,
        -0.671442351589465,-0.9496340459616871,-0.6002017842451572,
        -0.648822290296783,-0.5653935344751363,-0.9363384293729856,
        -0.7389956620788968,0.3130823317650696,-0.2106389019045293,
        -0.02151295053653907,0.1282040764044601,-0.3060118317848469,
        -0.3193074905789999,-0.7760321386045594,0.5653931175085022,
        0.6303269573377657,0.7389959159190775,0.2593815856416469,
        0.7605089118538748,0.6002024649156598,0.3496833143594963,
        0.02151295276860444,-0.175829673802738,0.2808952005684321 };

        vnl_matrix_fixed<double, 3, 42> *pointshell
          = new vnl_matrix_fixed<double, 3, 42>(coords);

        return pointshell;
    } 
  };


  template<> class PointShell<92, vnl_matrix_fixed<double, 3, 92> >
  {    
  public:
    static vnl_matrix_fixed<double, 3, 92>* DistributePointShell()
    {
      double coords[3*92] = {
        0.9756767549555487,0.9881046683022421,0.8528238339140162,
        0.6231965669156312,0.9602286065935876,0.9016229543668698,
        0.68966672282401,0.7970712198937139,0.6617902410567804,
        0.5505632701289798,0.4375940376503739,0.2130515669413184,
        -0.07773888316805401,-0.3200730131503601,0.575075565563677,
        0.3107083252171692,-0.006505365777837463,0.6463093264667951,
        0.3555189519163455,0.3200724178002418,0.6201479032959075,
        0.8717669667532965,0.4569904905821254,0.7744719807282636,
        0.5454521871592555,0.2502538949373057,0.3600408236839538,
        0.4319414682718342,0.5665551499276381,0.697797754038698,
        0.7103565350090897,0.8449704612165639,0.9168712118355732,
        -0.4375932291383153,-0.213051272338593,0.07773856031405026,
        -0.1245894223683107,0.181648017057727,0.2546621526726748,
        -0.6231952788307172,-0.3823142165271753,-0.04708691012811009,
        -0.3555183995893311,-0.02217694060430831,0.3149362814931866,
        0.006504983859799645,0.3417324928044827,-0.2502532651867688,
        -0.3600400745299253,-0.4319406005716204,0.01921174674137865,
        -0.05758606025521316,0.3265627679363224,-0.9756765814639009,
        -0.988104613901425,-0.8528232434185344,-0.9168708930751739,
        -0.854235225343551,-0.6463082287051728,-0.7103560109842373,
        -0.5750746905699001,0.3823157740702657,0.0470881327099307,
        0.3873829237054168,-0.6201479767677171,-0.8717667933239607,
        -0.3417327749428254,-0.6485010946606566,-0.8449702640289916,
        -0.3149361858566655,-0.5665549223826651,0.854235631268382,
        -0.4569906864326022,-0.1816479322770386,0.1245901828483064,
        -0.5454522916908328,-0.2546618495309371,-0.5505634949474448,
        0.6485010946606566,0.05758689641252078,-0.01921097131735245,
        -0.3265625234832059,-0.3107079508004592,-0.3873820250532686,
        -0.6896660583043277,-0.6617902107749167,-0.6977972953381247,
        -0.9016230372124288,-0.9602286916122059,-0.7970714969272577,
        0.02217737847260294,-0.774471897882643,-0.1778161375899129,
        0.03109142233089637,0.2669187829195654,0.4366423972091846,
        0.1544374088220477,0.4265382311030135,0.6260922126282031,
        0.5136107375104821,0.7494380454402638,0.7580253719184178,
        -0.5980610514568761,-0.4291113361140411,-0.1696203080333493,
        0.07805400320688781,-0.2914862882507431,-0.03496909012717316,
        0.2274959035287995,0.1056298518860434,0.3651211825280409,
        -0.07805410188638827,-0.1281592432697842,-0.1664476243728032,
        0.2310143008479173,0.2106389321639752,0.5518992169467314,
        -0.9161616153729886,-0.9327747060225072,-0.8106886470978539,
        -0.771485918473268,-0.7097589298055721,-0.5273136421678301,
        -0.4881111164997092,-0.3660248731570757,0.5980613131647216,
        0.4291115157626469,0.1696204410073287,0.7499962909367706,
        0.5360957563846484,0.8113900261915854,-0.4366431953633788,
        -0.6867851479477911,-0.8708228680516066,-0.365121777041269,
        -0.6002019152270697,-0.7331976694123558,-0.2274963530521035,
        -0.4115345048612673,0.9161619708326186,0.9327749805257903,
        0.8106887957474585,0.9941684586829005,0.9531387910864955,
        0.9334760373935599,0.1778171059718252,-0.03109104889813258,
        -0.266919222145987,0.3660256667153609,0.1422988506889488,
        -0.1056306282458797,0.5273142067726671,0.2914860445503094,
        0.6867847261588661,0.8708230332223915,0.8854287054759334,
        0.1281594836202007,0.1664482855753907,0.4115339986401247,
        0.4916319868779721,0.4881116080953447,0.7331975726799166,
        0.7714862700692517,-0.1422987785572308,-0.2310136280273065,
        -0.5360950867028047,-0.749995864312011,-0.551898166785698,
        -0.8113895155772442,-0.7580246814516086,-0.4916319868779721,
        -0.9531387450388693,-0.9941684373181742,-0.9334760519103793,
        0.03496867572798409,-0.885428988462601,-0.6260926899993671,
        -0.7494380619781833,0.7097593165624652,-0.4265380492676017,
        -0.154436271103469,-0.513609764630649,0.6002015742230613,
        -0.2106379566061765,-0.1282040992012935,0.1506070646973712,
        0.448827218017063,0.6488215902264565,-0.232615798766268,
        0.07170206110196441,0.3638246180723771,-0.3176184514965804,
        -0.01939827024983318,-0.3496821715684524,0.6714420577705416,
        0.8777656242085763,0.9824386073167399,0.9441720387917811,
        0.7644107780855932,0.9498618317294465,0.9737573075945113,
        0.7557291769626011,0.8604026946131842,-0.9441722324566724,
        -0.7739455965390631,-0.4607792790679794,-0.8589482430980673,
        -0.5965101770495287,-0.6307845637432553,-0.3130828685601688,
        0.01737679733452725,0.3952347219739472,-0.2895250242862085,
        0.09654302677976184,0.4661908578614318,-0.2185691140597737,
        0.1592889611288683,-0.671442351589465,-0.8777656078901646,
        -0.982438609905361,-0.649602216294724,-0.8243817913354027,
        -0.5261115978506249,-0.6488222902967828,-0.6181925269683732,
        -0.4893366483035592,-0.8604026705465684,-0.7995410210009178,
        -0.6026908960383706,-0.9737572051250643,-0.8449013283633929,
        0.3130823317650696,-0.01737758434298078,-0.3952353653550799,
        0.1061130743462423,-0.2970021727032599,-0.1482539922220807,
        0.1282040764044601,-0.1506074987015245,-0.4488280788164578,
        -0.159288972427813,-0.5000332157715695,-0.7557300072673856,
        -0.4661910177108468,-0.7644115292814133,0.6181920323103048,
        0.4893362367199527,0.2568082513095248,0.7739454978673308,
        0.4607793683387657,0.8449014608184471,0.5811577408091089,
        0.2185687785328751,0.6026910636921159,0.2895245326714229,
        0.5000325428335932,0.8589483198537152,0.8243822455102904,
        0.6496025629973337,0.6307853921801013,0.5261125320735169,
        0.3496833143594963,-0.5811577408091089,0.2970021583546204,
        -0.1061134148983228,0.1482544392795429,-0.9498619694604108,
        -0.2568086311939767,-0.3638250562458945,0.01939866440958929,
        -0.0965434988571485,-0.07170210104888378,0.2326162031595532,
        0.3176193294845107,0.7995412648414353,0.5965106290979496 };

        vnl_matrix_fixed<double, 3, 92> *pointshell
          = new vnl_matrix_fixed<double, 3, 92>(coords);

        return pointshell;
    } 
  };


  template<> class PointShell<162, vnl_matrix_fixed<double, 3, 162> >
  {    
  public:
    static vnl_matrix_fixed<double, 3, 162>* DistributePointShell()
    {
      double coords[3*162] = {
        0.9756767549555488,0.9968737649581846,0.9397937974509784,
        0.7989268505692991,0.6231965669156312,0.9764792677814802,
        0.9657129396229355,0.8567905682573015,0.679558714000995,
        0.8971014254962764,0.8343457228904876,0.6899186612252972,
        0.7377425905504456,0.6387690340353133,0.5505632701289798,
        0.4375940376503738,0.2787444080680243,0.06907711216819172,
        -0.1467487371786262,-0.3200730131503601,0.5436064763029955,
        0.3641181930198064,0.1299861910861632,-0.09463328683104604,
        0.6235168560971455,0.421472539809791,0.1781713819192711,
        0.6478378002177454,0.4350913076613168,0.3200724178002418,
        0.543583002477908,0.7616224484252742,0.9117594243665534,
        0.4242146396073646,0.6694499319211135,0.8720427891122669,
        0.5117469206751248,0.7406754453578036,0.5536544075493044,
        0.2502538949373057,0.3336803609057232,0.4043068999720243,
        0.438887490788423,0.4847692553550146,0.5913899314506929,
        0.6492812914734455,0.6425800233106177,0.7205836671095894,
        0.8155579470101821,0.8306996157029517,0.8921547074343706,
        0.9447583574027534,-0.4375932291383154,-0.278743955138478,
        -0.06907715072573903,0.1467483093137361,-0.2140239599986307,
        -0.001406336898152031,0.2327251986251803,0.06640211724156461,
        0.3039508137298482,0.3409081262151013,-0.6231952788307174,
        -0.4546947222788382,-0.2192092047974508,0.03581973661208818,
        -0.4350905112236564,-0.2089153242611869,0.0609953219830862,
        0.3006812043050254,-0.1781713502362079,0.08257031568712175,
        0.3352293490184233,0.09463277722176672,0.3398901915912972,
        -0.2502532651867688,-0.3336796480610522,-0.4043060780204903,
        -0.4388866188864613,-0.05621340666038893,-0.1197552832780665,
        -0.1776465335448071,0.1765178736510398,0.1277105869872963,
        0.3935116760630417,-0.975676581463901,-0.9968737272214637,
        -0.9397935597648752,-0.7989260596435309,-0.9447580743829742,
        -0.9308031701048347,-0.8218804228775519,-0.6478366382006043,
        -0.8306992108488227,-0.7645261844287355,-0.6235158879179115,
        -0.6425794288509028,-0.543605629081954,0.4546962564744617,
        0.21921067448898,-0.03581866880653414,0.4779576265881325,
        0.2080468003445843,0.4555126388719097,-0.543583197615373,
        -0.7616223457476226,-0.9117592443356049,-0.3398905505309818,
        -0.5766491384642831,-0.7792417673233771,-0.8921544952781482,
        -0.3352294641675141,-0.5550737397870624,-0.7205834943870382,
        -0.3006809838192767,-0.4847689570296102,0.8218810203164033,
        0.9308033931946534,0.7645267056644409,-0.4242149221746557,
        -0.2327253235991419,0.00140664545831139,0.2140247669633664,
        -0.5117470172320778,-0.3039507303469009,-0.06640153973221416,
        -0.5536545418185335,-0.3409079709201472,-0.5505634949474448,
        0.7792418677670352,0.5766490604842006,0.5550737528785307,
        0.1776474313398276,0.1197561650892531,0.05621421006516834,
        -0.1277100030888262,-0.176517304179968,-0.3935115910448358,
        -0.1299862309792015,-0.3641176806190365,-0.4214718858755578,
        -0.2080457563809749,-0.477956563666828,-0.6795578679273953,
        -0.4555121490743896,-0.6899183532182501,-0.6387691005409376,
        -0.6492806993353901,-0.5913894852863821,-0.8155575864896008,
        -0.8567903368462096,-0.9657130735429578,-0.9764792804081987,
        -0.834345897568434,-0.8971016370404784,-0.7377428728490714,
        -0.06099477310985241,0.2089161290281741,-0.08257033948198818,
        -0.8720426859708773,-0.6694498734011487,-0.740675476302381,
        -0.1778161375899129,-0.02718233037986957,0.1521341729788544,
        0.3178872248051531,0.4366423972091847,0.06305939500089614,
        0.2592762165236786,0.4491542846588709,0.5806638189836385,
        0.3410385404813853,0.5484671467389891,0.7022080829625521,
        0.5886123721388867,0.761147081998915,0.7580253719184177,
        -0.5980610514568759,-0.4818747107897384,-0.3056524524744078,
        -0.102179801407443,0.07805400320688782,-0.3811861908796716,
        -0.2105722545208477,-0.001641189844283069,0.1883562467232593,
        -0.09487972868743588,0.1091686599118738,0.3025309778153461,
        0.1998858588754617,0.3897335832229792,-0.07805410188638827,
        -0.1156801299839266,-0.1503967869358663,-0.1717048170733874,
        0.1470965334761953,0.1310545667952879,0.100226360425432,
        0.3996773221825281,0.3894173756029716,0.6166247865338805,
        -0.9161616153729887,-0.93968222548459,-0.8900379255247358,
        -0.7610423024299814,-0.8216809647863927,-0.8059784419089511,
        -0.7076799521032789,-0.5537209611836944,-0.6430242175142256,
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        -0.5296076162752261,-0.7477901272839138,0.6344620803203709,
        0.5653931175085022,0.4459164955009389,0.389683753785766,
        0.2859346018498913,0.08112906023855893,0.831345524857385,
        0.6303269573377657,0.3731116142445962,0.8832579654623612,
        0.7198955735651289,0.467747528435525,0.1959067638111305,
        0.7389959159190775,0.5248781214125594,0.2593815856416469,
        0.5288485749239231,0.2997313094215869,0.5688633866559212,
        0.3287493895928871,0.5758535688432742,0.8935348059013593,
        0.8990753265127792,0.8147972186077681,0.6637941002839092,
        0.7605089118538748,0.7153683254339585,0.6002024649156598,
        0.5596800524090022,0.4830998363360157,0.3496833143594963,
        -0.4677475887278177,-0.7198955529773995,-0.5248781506021705,
        0.4262841209617862,0.1220490717256491,-0.165545217365127,
        0.326855199205205,0.02151295276860444,0.2066532886754674,
        -0.9915144412787341,-0.9072363224101446,-0.9002463663906001,
        -0.2859350592025221,-0.3896842610441149,-0.4483636748755489,
        -0.0811290830782055,-0.175829673802738,0.1123805173372347,
        -0.2786093002807504,0.02562556437243592,-0.03150492197167008,
        -0.253319097564816,-0.01320461850800903,0.2061840662709727,
        0.05523623192861417,0.2808952005684321,0.3305631346577989,
        0.6857580324047194,0.78950721141067,0.8807755242176112,
        0.4790578522946484,0.7312056921497674,0.5474986596025796 };

        vnl_matrix_fixed<double, 3, 162> *pointshell
          = new vnl_matrix_fixed<double, 3, 162>(coords);

        return pointshell;
    } 
  };


  template<> class PointShell<252, vnl_matrix_fixed<double, 3, 252> >
  {    
  public:
    static vnl_matrix_fixed<double, 3, 252>* DistributePointShell()
    {
      double coords[3*252] = {
        0.9756767549555488,0.9977154378498742,0.9738192119472443,
        0.8915721200771204,0.7646073555341725,0.6231965669156312,
        0.9817040172417226,0.9870396762453547,0.9325589150767597,
        0.8173592116492303,0.6708930871960926,0.9399233672993689,
        0.9144882783890762,0.8267930935417315,0.6931818659696647,
        0.8407280774774689,0.782394344826989,0.6762337155773353,
        0.7005607434301688,0.6228579759074076,0.5505632701289798,
        0.4375940376503738,0.3153040621970065,0.1569517536476641,
        -0.01984099037382634,-0.1857690950088067,-0.3200730131503601,
        0.5232435944036425,0.3889403678268736,0.2135250052622625,
        0.02420694871807206,-0.1448539951504302,0.5971534158422009,
        0.4482053228282282,0.2597018771197477,0.06677517278138323,
        0.6404616222418184,0.4782876117785159,0.2868761951248767,
        0.6459894362878276,0.4789651252338281,0.3200724178002418,
        0.4973180497018747,0.6793811951363423,0.8323587928990375,
        0.9308933612987835,0.4036036036586492,0.5984781165037405,
        0.7817280923310203,0.9140795130247613,0.4809905907165384,
        0.6759621154318279,0.8390728924802671,0.5347729120192694,
        0.7094340284155564,0.5560356639783846,0.2502538949373057,
        0.3171352000240629,0.3793963897789465,0.4231100429674418,
        0.4410301813437042,0.4357529867703999,0.5208717223808415,
        0.5850086433327374,0.611055499882272,0.6009463532173235,
        0.6305067000562991,0.7188806066405239,0.7654898954879897,
        0.7616477696596397,0.7997756996573342,0.8700831379830764,
        0.8872031228985237,0.9155019734809123,0.9568003701205341,
        -0.4375932291383153,-0.3153035222278598,-0.1569515927579475,
        0.0198407706589918,0.1857686171195431,-0.2644927501381796,
        -0.1064219080255857,0.07849995612144045,0.2583107784678281,
        -0.04938676750055992,0.1358448755096817,0.3243479900672576,
        0.1811879481039926,0.3692668145365748,0.3890115016151001,
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        0.3194596781650836,0.1156503154178581,-0.0832879858164388,
        0.5222841738261358,0.3225497922064885,0.1018140973507329,
        0.5217885230992481,0.3044789836562512,0.4873191346491355,
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        0.7901679726328494,0.9044526665335126,0.9598484396937114,
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        -0.4036039458806759,-0.2583110138480089,-0.0784999126587471,
        0.1064223584250461,0.264493571710179,-0.4809907334514471,
        -0.3243480295764106,-0.1358446002697818,0.04938746901646566,
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        0.8417963565884857,0.7070125813068046,0.5261950179989611,
        0.6896418985458221,0.5265311900255359,0.4925848265160583,
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        0.2774342678683828,0.1245598363284875,-0.02655554762561945,
        0.5016349858535857,0.3695530582277636,0.2148806720954671,
        0.5665590425344393,0.431103930292903,0.5869876102086139,
        0.7332077514676827,0.845098078457225,0.9041116580482536,
        0.7182616282077119,0.8617334421407644,0.9490975365686583,
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        0.1740026689030255,0.2707904196202965,0.3196768235430837,
        0.3552546724685221,0.3677018240803483,0.3587598208776521,
        0.4821901792282771,0.5389508449256169,0.5637713635689835,
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        0.5992589358516202,0.4261046359672609,0.2252066549797059,
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        0.9096403689902206,0.9275522217134882,0.8909112253661301,
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        0.810859375773786,0.7430057321681839,0.6332085061147845,
        0.6854064426268304,0.6413714065577412,0.5581299045184589,
        0.5164832226272315,0.4563611494403301,0.3496833143594963,
        -0.3951892821849063,-0.6114960336943951,-0.787988199289983,
        -0.4544844137443082,-0.657492739431111,-0.484187939006181,
        0.4936478319326018,0.2653148405479006,0.01970714938077021,
        -0.1989850169013517,0.4302075642722875,0.1852629793843341,
        -0.0559739158243807,0.3387563694841473,0.09867487876932232,
        0.2393267951217032,-0.999553621201999,-0.9653354239158236,
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        -0.8573751662344773,-0.2980738893651726,-0.3916343988495664,
        -0.4596955428592778,-0.4950341577852201,-0.1432117197792371,
        -0.2267418620329016,-0.2909964852939082,0.02097514873862574,
        -0.05800679989935065,0.1653145532988453,-0.3786231842883476,
        -0.1464197032303796,0.09531724619007391,-0.1924163631703616,
        0.05252803743712917,0.006318730357784829,-0.3534800054422614,
        -0.1720548071373146,0.02057294660420643,0.190134278339324,
        -0.1169519894866824,0.07636807502743861,0.2529338262925594,
        0.1271908635410245,0.3046134343217798,0.3366066958443542,
        0.6094980941008995,0.7135382519498201,0.7711196978950583,
        0.7870198804193677,0.8705500304441893,0.9132984713369965,
        0.403998910419839,0.62060207699311,0.7967976318501995,
        0.4726965405256068,0.6757048258462731,0.5106167801856609 };

        vnl_matrix_fixed<double, 3, 252> *pointshell
          = new vnl_matrix_fixed<double, 3, 252>(coords);

        return pointshell;
    }

  };

  template<> class PointShell<362, vnl_matrix_fixed<double, 3, 362> >
  {    
  public:
    static vnl_matrix_fixed<double, 3, 362>* DistributePointShell()
    {
      double coords[3*362] = {
        0.9756767549555487,0.9966345256373878,0.9881046683022421,
        0.9397937974509782,0.8528238339140162,0.7412214378486838,
        0.6231965669156312,0.9834769262997924,0.9946239689739521,
        0.9675363014408187,0.8953435882073797,0.7874413200090197,
        0.6642104349774659,0.9602286065935876,0.9526601679743949,
        0.9016229543668698,0.8082746868815032,0.68966672282401,
        0.8971014254962764,0.865591182877164,0.7933984257386667,
        0.6899186612252972,0.7970712198937139,0.7447486127431006,
        0.6617902410567804,0.6754324093484999,0.6115790799976598,
        0.5505632701289798,0.4375940376503739,0.3383775196739809,
        0.2130515669413184,0.06907711216819173,-0.07773888316805401,
        -0.2106409255960856,-0.3200730131503601,0.5092547181142852,
        0.4023388431564537,0.265404014577164,0.1102235177567159,
        -0.04300669133613336,-0.1770183828831563,0.575075565563677,
        0.4585983658816588,0.3107083252171692,0.1482373789939068,
        -0.006505365777837463,0.6235168560971455,0.4966123011343984,
        0.3414318272800055,0.178171381919271,0.6463093264667951,
        0.5114333072914884,0.3555189519163455,0.6437455132939696,
        0.5064909697503934,0.3200724178002418,0.4666605048128079,
        0.6201479032959075,0.7616224484252742,0.8717669667532965,
        0.9417225609211535,0.3896493566867455,0.5498790773446007,
        0.7090922337204692,0.8433688828589941,0.9352336066902967,
        0.4569904905821254,0.6220231833138386,0.7744719807282636,
        0.8905764752647638,0.5117469206751248,0.6692307929647209,
        0.8035074327650433,0.5454521871592555,0.6853580997057199,
        0.5566669166856135,0.2502538949373057,0.3059448167491349,
        0.3600408236839538,0.4043068999720242,0.4319414682718342,
        0.441694708443188,0.4034206272561209,0.4730271557866856,
        0.532848297654098,0.5712181400125941,0.5831430197408345,
        0.573108039637807,0.5665551499276381,0.6430548267994817,
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        0.1572376520619428,0.3149362814931866,-0.1781713502362079,
        -0.007356907961155389,0.1715373930872541,0.3352293490184234,
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        0.1770178009419758,0.3352469806136632,-0.2502532651867688,
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        0.2669187829195654,0.3632859224072412,0.4366423972091846,
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        0.5136107375104821,0.6447862719396159,0.7494380454402638,
        0.6543855332308085,0.7656972306146125,0.7580253719184178,
        -0.5980610514568761,-0.5275667073977156,-0.4291113361140411,
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        -0.1153816305493603,0.04186543327713237,0.1794701997231261,
        -0.2291653183673072,-0.07170210104888378,0.08912594410177796,
        0.2326162031595532,-0.02465773800362392,0.134487905062478,
        0.2808952005684321,0.1720476740810845,0.3176193294845107,
        0.3399578552959914,0.5574798958328108,0.6515250645580214,
        0.7202890442609949,0.754822534930785,0.7120168974234773,
        0.7995412648414353,0.8495448706478895,0.841272643210163,
        0.9100366384710021,0.9284251625234463,0.3539783956892765,
        0.5371522584244614,0.7042734954121332,0.8335921603240184,
        0.4153929051801631,0.5965106290979496,0.7496353473630305,
        0.4607548496345096,0.6278760663083329,0.4841605931432954 };

        vnl_matrix_fixed<double, 3, 362> *pointshell
          = new vnl_matrix_fixed<double, 3, 362>(coords);

        return pointshell;
    } 
  };


  template<> class PointShell<492, vnl_matrix_fixed<double, 3, 492> >
  {    
  public:
    static vnl_matrix_fixed<double, 3, 492>* DistributePointShell()
    {
      double coords[3*492] = {
        0.9756767549555487,0.995129146382046,0.9942990656144199,
        0.9656349505028294,0.906669314667086,0.8226336999568686,
        0.7243638464104109,0.6231965669156312,0.9839703767589784,
        0.997142038124067,0.984428692964357,0.9391662760580684,
        0.862670051560969,0.7648456045484533,0.6590519021583431,
        0.9707167715611407,0.9718838371878742,0.9426229117731289,
        0.8796306184740903,0.7892458129328142,0.6846076300785651,
        0.929183358966584,0.9136522029381524,0.8666502644050813,
        0.7898345918065129,0.693320589737796,0.8580670030245058,
        0.8250351905308677,0.7641558269670571,0.6811699046825979,
        0.7636773150775941,0.7169778531093051,0.6492336193335421,
        0.6574101272386674,0.6032570204852985,0.5505632701289798,
        0.4375940376503738,0.3542026794336651,0.2512745383622963,
        0.1321836977435469,0.005435183516526082,-0.1177256014717769,
        -0.2278158095071639,-0.3200730131503601,0.499121216713679,
        0.4104288008617515,0.2993922246212043,0.1713800199472592,
        0.03766821044034947,-0.08889959511906904,-0.1993010113619456,
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        0.2022902215891641,0.3254642982361922,0.3420368325512359,
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        0.719474396239089,0.741638033276861,0.6545106949482685,
        0.7372275485364457,0.7972280664875324,0.8284744266242357,
        0.7764214244136933,0.8500106167743341,0.8943583778920716,
        0.8725105875877179,0.9304985104221231,0.9362840195367765,
        0.3187873126271887,0.4751176460530464,0.6264663831892676,
        0.7569806648964799,0.8565378137633573,0.3724393069541885,
        0.5311885746144091,0.6770114116120104,0.7952337966915513,
        0.4176372345893317,0.5707694457794332,0.7042664250854263,
        0.4489457715859918,0.5898772631309003,0.4647496441635906 };

        vnl_matrix_fixed<double, 3, 492> *pointshell
          = new vnl_matrix_fixed<double, 3, 492>(coords);

        return pointshell;
    } 
  };


  template<> class PointShell<642, vnl_matrix_fixed<double, 3, 642> >
  {    
  public:
    static vnl_matrix_fixed<double, 3, 642>* DistributePointShell()
    {
      double coords[3*642] = {
        0.9756767549555488,0.9936273045965159,0.9968737649581846,
        0.9799612120178374,0.9397937974509784,0.8775847359538656,
        0.7989268505692991,0.7116707502187636,0.6231965669156312,
        0.9839439883131955,0.997606269193783,0.9928389431247303,
        0.9642927845075879,0.9105363959854476,0.8355633282696746,
        0.7474316403407526,0.6549945735140008,0.9764792677814802,
        0.98203616585628,0.9657129396229355,0.9235205478703636,
        0.8567905682573015,0.7723352820545265,0.679558714000995,
        0.9483175267842808,0.9421385440112533,0.9121470670895898,
        0.8569526200134567,0.7808692882316954,0.6923761132322002,
        0.8971014254962764,0.8773049187483365,0.8343457228904876,
        0.7697920647699087,0.6899186612252972,0.8248449061833976,
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        -0.3923591556376936,-0.2838184503258238,-0.1653148824643805,
        -0.04565210375030839,0.06672910665806144,0.1662653402185898,
        -0.3594180507425287,-0.253319097564816,-0.1350560618895416,
        -0.01320461850800903,0.1028580486723768,0.2061840662709727,
        -0.2162633298539993,-0.1003749112365929,0.02129875586186771,
        0.139247419944916,0.2454372621958313,-0.06398217348632655,
        0.05523623192861417,0.17302500577526,0.2808952005684321,
        0.08611242071710691,0.2016814632806757,0.3097650809527805,
        0.2239251562628219,0.3305631346577989,0.3434314452768145,
        0.4927814627145429,0.5662581542385627,0.6318399645986254,
        0.683043240780333,0.7160640841376876,0.7310741891309572,
        0.6101863849438733,0.6857580324047194,0.7475639112793486,
        0.78950721141067,0.8099276375885235,0.7219272504872226,
        0.7938124902720932,0.8463855099577528,0.8755371018531016,
        0.8181741141101887,0.8807755242176112,0.9205806914487843,
        0.8917768010350154,0.9417121277771469,0.9407006846750625,
        0.2928563777418555,0.4282076937835696,0.5635232482078705,
        0.6879656610506216,0.7922901195775008,0.8719937126447483,
        0.3397879564876633,0.4790578522946484,0.6132791099941464,
        0.7312056921497674,0.8252311496217807,0.3821934817691987,
        0.520188888877212,0.6479602207299933,0.7555206677931847,
        0.415971059154168,0.5474986596025796,0.6648558465528478,
        0.4386113475958364,0.5599721413103722,0.4500523932965443 };

        vnl_matrix_fixed<double, 3, 642> *pointshell
          = new vnl_matrix_fixed<double, 3, 642>(coords);

        return pointshell;
    } 
  };


  template<> class PointShell<812, vnl_matrix_fixed<double, 3, 812> >
  {    
  public:
    static vnl_matrix_fixed<double, 3, 812>* DistributePointShell()
    {
      double coords[3*812] = {
        0.9756767549555487,0.9922508097125681,0.9977223655964853,
        0.9881046683022422,0.9605519470607568,0.9146195529015363,
        0.8528238339140162,0.7799959774035472,0.7017828679367573,
        0.6231965669156313,0.9837002757017411,0.9971982264747434,
        0.9970195212545997,0.9790578176231792,0.9411837637692063,
        0.8844913295435498,0.8132898830804115,0.733693935416079,
        0.6517368229295557,0.9797764734635961,0.9875546637606186,
        0.9791028733313679,0.9508425500024201,0.9020818068674743,
        0.8358206809420552,0.757892552927626,0.6749593629473696,
        0.9602286065935876,0.9595713376770644,0.9407948278222147,
        0.9016229543668696,0.8432733179563544,0.7704382634077368,
        0.6896667228240099,0.9226923908191266,0.9116587851060941,
        0.8819863001926875,0.833225536765196,0.7683765355083914,
        0.693030195174853,0.8672949635738141,0.8455181303237055,
        0.8062955359163166,0.7509515682311381,0.6835651897016059,
        0.7970712198937139,0.7659650471206068,0.7200326020746473,
        0.6617902410567805,0.7171844959174759,0.6793953685069648,
        0.6300938559406523,0.6333774065241421,0.5918819525326566,
        0.5505632701289798,0.4375940376503738,0.3744427273176402,
        0.2993381563954681,0.2130515669413183,0.1182813882301629,
        0.01954824200640591,-0.07773888316805401,-0.1686715778074173,
        -0.2499271804752164,-0.32007301315036,0.4854882574576871,
        0.4194229010537701,0.3399338752288831,0.2482942679442456,
        0.1481384200976902,0.04502062388977755,-0.05499873367858239,
        -0.1469877513574829,-0.2280773868570659,0.5324004751734927,
        0.4628532125512143,0.3786136701220479,0.2817283713716202,
        0.1769156386035929,0.07062416136199023,-0.03081255771979229,
        -0.1228131994141411,0.5750755655636769,0.5013629074790578,
        0.4122166091807719,0.3107083252171691,0.2025911492637849,
        0.09481562164394035,-0.006505365777837463,0.6099587706972414,
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        0.46086512448968,0.3555189519163455,0.647046909800018,
        0.5581741842011717,0.4598430939447178,0.6384375755240163,
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        0.5178612432225475,0.6201479032959074,0.7171164359379398,
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        0.9565659576168886,0.3662566345969678,0.4693191708546967,
        0.5762858482292442,0.6811797034275579,0.7768921407658641,
        0.8570710368648269,0.9180184145424319,0.9594305591455454,
        0.4128244293574089,0.5208884118196857,0.6304558785383466,
        0.7343501607073976,0.8250439179808262,0.8969571451990621,
        0.9480541165102998,0.4569904905821253,0.5671264332790738,
        0.6755415775491402,0.7744719807282637,0.8569290887080647,
        0.9189090911818834,0.4955267041670984,0.6040846468052238,
        0.7074267562469234,0.7981205092043148,0.8705859012982401,
        0.5255624261223592,0.6289645166670731,0.7241496615411406,
        0.804855834362468,0.5454521871592556,0.6410312785579098,
        0.7264644091774437,0.5551982228864044,0.641627582268501,
        0.5561969667017818,0.2502538949373057,0.2872027754172267,
        0.3245344712904296,0.3600408236839537,0.3911506315330521,
        0.4155633223527059,0.4319414682718341,0.4402542183539166,
        0.4415840008368697,0.3505479885894233,0.3943500788462172,
        0.43685649380825,0.4748347886538213,0.5050141859852789,
        0.5250961060909611,0.5345072780254662,0.5344003893389805,
        0.5269837056592495,0.4574833953114167,0.5069750581222974,
        0.5525393550046852,0.5900243847437713,0.6159403270481748,
        0.6286926742607352,0.6290385665487288,0.6194911060068102,
        0.5665551499276381,0.6191962274832306,0.6644606027057701,
        0.6977977540386979,0.7162925017359711,0.7197189132272425,
        0.7103565350090897,0.6716249671619864,0.7237430894816727,
        0.7648128117488485,0.7907287689487973,0.7998964507309693,
        0.7936885378432519,0.7661563418365048,0.813819159923423,
        0.8474217166041815,0.864080531689031,0.8638072256614686,
        0.8449704612165639,0.8851005033495888,0.9095132315221558,
        0.9168712118355733,0.9055760485508874,0.9366559154796388,
        0.9518640240021961,0.9483465315553231,0.9704010313875515,
        -0.4375932291383154,-0.3744420515634606,-0.2993376542433732,
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        -0.3473076758598704,-0.2731773531779083,-0.1869784560548725,
        -0.09084077595186728,0.01090483422160223,0.1124324367516528,
        0.2079533392573423,0.2932321828182562,-0.2423880400933935,
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        0.1478309256372904,0.2474621200563187,0.336722136779245,
        -0.1245894223683107,-0.02900257303954696,0.07490364945070915,
        0.181648017057727,0.2845287164429474,0.3775439714321544,
        0.00186176882165046,0.104598795853549,0.2116013903531214,
        0.3164139369537128,0.4125877669907546,0.1306304412032901,
        0.2361087796289779,0.3411560209375105,0.4393820957485916,
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        0.3679945821324933,0.465540692618106,0.46700138061564,
        -0.6231952788307172,-0.5574600324007678,-0.4770927236000206,
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        0.09888849629266881,0.2130604246988013,0.3149362814931866,
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        0.1085468771341984,0.2246722751170698,0.3298926161068582,
        -0.116293170907997,-0.002544855969777311,0.1157810363722986,
        0.2317919381153067,0.3389908350437634,0.006504983859799631,
        0.1204470178133221,0.2342680443317885,0.3417324928044827,
        0.122812659812205,0.23268986296373,0.338624103921372,
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        -0.009369596982657442,0.09582219059763358,0.1990980586833061,
        0.2946659462714916,0.1210154650283388,0.2222714245712332,
        0.3176193294845107,0.2401157501920485,0.3340749869695284,
        0.3444220768905359,0.4715398981500615,0.5369261966393798,
        0.5977544079195963,0.6492830104914913,0.6878295422870739,
        0.7119297300805439,0.7225291958412279,0.5754139764385705,
        0.6438104077520811,0.703735439041779,0.7501803284162304,
        0.7802875102236209,0.7941684049065568,0.6769937335137454,
        0.7445931056463463,0.7995412648414352,0.8374828910500066,
        0.8571440245657689,0.7693422116354997,0.8318956310273866,
        0.8783405275925528,0.9058193343789728,0.8463080799206776,
        0.900346626617332,0.936383240514816,0.9043683688324304,
        0.948119268339247,0.9433248910510675,0.2730237834281818,
        0.3918812540743772,0.512863760525918,0.6286055997510109,
        0.7317788088844818,0.817202970027369,0.883018402482024,
        0.3144121837974857,0.4374900830135051,0.559528090412838,
        0.6724058856901879,0.7691785827023693,0.8460642869454081,
        0.3533690330364157,0.4772888327771027,0.5965106290979496,
        0.7030444104060292,0.7911990697093608,0.3869476434981415,
        0.5079274002472546,0.6208051861357136,0.718636116718038,
        0.4127894497989522,0.5275207205127158,0.631704463913464,
        0.4298578384111184,0.536188255170367,0.4385954324163403 };

        vnl_matrix_fixed<double, 3, 812> *pointshell
          = new vnl_matrix_fixed<double, 3, 812>(coords);

        return pointshell;
    } 
  };


  template<> class PointShell<1002, vnl_matrix_fixed<double, 3, 1002> >
  {    
  public:
    static vnl_matrix_fixed<double, 3, 1002>* DistributePointShell()
    {
      double coords[3*1002] = {
        0.9756767549555488,0.9910244201339067,0.9977154378498742,
        0.9927800993607139,0.9738192119472443,0.9397937974509784,
        0.8915721200771204,0.8318778673129345,0.7646073555341725,
        0.693869346809198,0.6231965669156312,0.9833704607135893,
        0.9964241736681655,0.9989802553190876,0.987902775761947,
        0.9610864540427623,0.9183225885811028,0.8616492668438125,
        0.7948923552800862,0.7226196323725681,0.6490709211350905,
        0.9817040172417226,0.9905693687720445,0.9870396762453547,
        0.9681598062324672,0.9325589150767597,0.881205326354676,
        0.8173592116492303,0.7456638277324369,0.6708930871960926,
        0.9679134019101711,0.9705588332310378,0.959200825309353,
        0.9315264271335991,0.8872988802116832,0.8287690756632178,
        0.7601362175694236,0.6863342915062906,0.9399233672993689,
        0.934650496070032,0.9144882783890762,0.8781852416959071,
        0.8267930935417315,0.7635949206829796,0.6931818659696647,
        0.8971014254962764,0.8830745457598012,0.8543282347786828,
        0.8108509720355672,0.754782849204541,0.6899186612252973,
        0.8407280774774689,0.8182890571891552,0.782394344826989,
        0.7341199823031558,0.6762337155773353,0.7738549713477869,
        0.7444263912611687,0.7036087793266443,0.6531781708866408,
        0.7005607434301688,0.6661985543964391,0.6228579759074076,
        0.6249824933683414,0.5878380796842572,0.5505632701289798,
        0.4375940376503738,0.3812939184075813,0.3153040621970065,
        0.2399906033000567,0.1569517536476641,0.06907711216819173,
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        0.422484479771868,0.5169744155067602,0.4294387727293252 };

        vnl_matrix_fixed<double, 3, 1002> *pointshell
          = new vnl_matrix_fixed<double, 3, 1002>(coords);

        return pointshell;
    } 
  };

}

#endif //__itkPointShell_txx__