diff --git a/Modules/DiffusionImaging/Reconstruction/itkDiffusionMultiShellQballReconstructionImageFilter.cpp b/Modules/DiffusionImaging/Reconstruction/itkDiffusionMultiShellQballReconstructionImageFilter.cpp index 9aecd6a798..e04b5e81c7 100644 --- a/Modules/DiffusionImaging/Reconstruction/itkDiffusionMultiShellQballReconstructionImageFilter.cpp +++ b/Modules/DiffusionImaging/Reconstruction/itkDiffusionMultiShellQballReconstructionImageFilter.cpp @@ -1,1134 +1,1133 @@ -/*========================================================================= +/*=================================================================== -Program: Medical Imaging & Interaction Toolkit -Language: C++ -Date: $Date: 2009-07-14 19:11:20 +0200 (Tue, 14 Jul 2009) $ -Version: $Revision: 18127 $ +The Medical Imaging Interaction Toolkit (MITK) -Copyright (c) German Cancer Research Center, Division of Medical and -Biological Informatics. All rights reserved. -See MITKCopyright.txt or http://www.mitk.org/copyright.html for details. +Copyright (c) German Cancer Research Center, +Division of Medical and Biological Informatics. +All rights reserved. -This software is distributed WITHOUT ANY WARRANTY; without even -the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR -PURPOSE. See the above copyright notices for more information. +This software is distributed WITHOUT ANY WARRANTY; without +even the implied warranty of MERCHANTABILITY or FITNESS FOR +A PARTICULAR PURPOSE. -=========================================================================*/ +See LICENSE.txt or http://www.mitk.org for details. + +===================================================================*/ #ifndef __itkDiffusionMultiShellQballReconstructionImageFilter_cpp #define __itkDiffusionMultiShellQballReconstructionImageFilter_cpp #include #include #include #include #include #include #include #include #include #include #define _USE_MATH_DEFINES #include #include "mitkDiffusionFunctionCollection.h" #include "itkPointShell.h" #include namespace itk { template< class T, class TG, class TO, int L, int NODF> DiffusionMultiShellQballReconstructionImageFilter ::DiffusionMultiShellQballReconstructionImageFilter() : m_GradientDirectionContainer(NULL), m_NumberOfGradientDirections(0), m_NumberOfBaselineImages(1), m_Threshold(NumericTraits< ReferencePixelType >::NonpositiveMin()), m_BValue(1.0), m_Lambda(0.0), m_IsHemisphericalArrangementOfGradientDirections(false), m_IsArithmeticProgession(false), m_ReconstructionType(Mode_Standard1Shell) { // At least 1 inputs is necessary for a vector image. // For images added one at a time we need at least six this->SetNumberOfRequiredInputs( 1 ); } template void DiffusionMultiShellQballReconstructionImageFilter ::Normalize( OdfPixelType & out) { for(int i=0; i double DiffusionMultiShellQballReconstructionImageFilter ::CalculateThreashold(const double value, const double delta) { return (value<0)*(0.5*delta) + (value>=0 && value=delta && value<1-delta)*value+(value>=1-delta && value<1)*(1-0.5*delta-0.5*((1-value)*(1-value))/delta) + (value>=1)*(1-0.5*delta); } template void DiffusionMultiShellQballReconstructionImageFilter ::Threshold(vnl_vector & vec, double delta) { if (delta==0){ //Clip attenuation values. If att<0 => att=0, if att>1 => att=1 for (int i=0; i=0 && vec[i]<=1)*vec[i]+(vec[i]>1); } else{ //Use function from Aganj et al, MRM, 2010 for (int i=0; i< vec.size(); i++) vec[i]=CalculateThreashold(vec[i], delta); } } template void DiffusionMultiShellQballReconstructionImageFilter ::Threshold(vnl_matrix & mat, double delta) { if (delta==0){ //Clip attenuation values. If att<0 => att=0, if att>1 => att=1 for (int i=0; i=0 && mat(i,j)<=1)*mat(i,j)+(mat(i,j)>1); } else{ //Use function from Aganj et al, MRM, 2010 for (int i=0; i void DiffusionMultiShellQballReconstructionImageFilter ::Projection1( vnl_matrix & E, double delta ) { const double sF = sqrt(5.0); vnl_vector vOnes(E.rows()); vOnes.fill(1.0); vnl_matrix T0(E.rows(), E.cols()); vnl_matrix C(E.rows(), 7); vnl_matrix A(E.rows(), 7); vnl_matrix B(E.rows(), 7); vnl_vector s0(E.rows()); vnl_vector a0(E.rows()); vnl_vector b0(E.rows()); vnl_vector ta(E.rows()); vnl_vector tb(E.rows()); vnl_vector e(E.rows()); vnl_vector m(E.rows()); vnl_vector a(E.rows()); vnl_vector b(E.rows()); // logarithmierung aller werte in E for(int i = 0 ; i < E.rows(); i++) { for(int j = 0 ; j < E.cols(); j++) { T0(i,j) = -log(E(i,j)); } } //T0 = -T0.apply(std::log); // Summeiere Zeilenweise über alle Shells sum = E1+E2+E3 for(int i = 0 ; i < E.rows(); i++) { s0[i] = T0(i,0) + T0(i,1) + T0(i,2); } for(int i = 0; i < E.rows(); i ++) { // Alle Signal-Werte auf der Ersten shell E(N,0) normiert auf s0 a0 = E(i,0) / s0[i]; // Alle Signal-Werte auf der Zweiten shell E(N,1) normiert auf s0 b0 = E(i,1) / s0[i]; } ta = a0 * 3.0; tb = b0 * 3.0; e = tb - (ta * 2.0); m = (tb * 2.0 ) + ta; for(int i = 0; i < E.rows(); i++) { C(i,0) = tb[i] < 1+3*delta && 0.5+1.5*(sF+1)*delta < ta[i] && ta[i] < 1-3* (sF+2) *delta; C(i,1) = e[i] <= -1 +3*(2*sF+5)* delta && ta[i] >= 1-3*(sF+2)*delta; C(i,2) = m[i] > 3 -3*sF*delta && -1+3*(2*sF+5)*delta < e[i] && e[i]<-3*sF*delta; C(i,3) = m[i] >= 3-3*sF*delta && e[i] >= -3 *sF * delta; C(i,4) = 2.5 + 1.5*(5+sF)*delta < m[i] && m[i] < 3-3*sF*delta && e[i] > -3*sF*delta; C(i,5) = ta[i] <= 0.5+1.5 *(sF+1)*delta && m[i] <= 2.5 + 1.5 *(5+sF) * delta; C(i,6) = !( C(i,0) || C(i,1) || C(i,2) || C(i,3) || C(i,4) || C(i,5) ); // ~ANY(C(i,[0-5] ),2) A(i,0)=(bool)C(i,0) * a0(i); A(i,1)=(bool)C(i,1) * (1.0/3.0-(sF+2)*delta); A(i,2)=(bool)C(i,2) * (0.2+0.8*a0(i)-0.4*b0(i)-delta/sF); A(i,3)=(bool)C(i,3) * (0.2+delta/sF); A(i,4)=(bool)C(i,4) * (0.2*a0(i)+0.4*b0(i)+2*delta/sF); A(i,5)=(bool)C(i,5) * (1.0/6.0+0.5*(sF+1)*delta); A(i,6)=(bool)C(i,6) * a0(i); B(i,0)=(bool)C(i,0) * (1.0/3.0+delta); B(i,1)=(bool)C(i,1) * (1.0/3.0+delta); B(i,2)=(bool)C(i,2) * (0.4-0.4*a0(i)+0.2*b0(i)-2*delta/sF); B(i,3)=(bool)C(i,3) * (0.4-3*delta/sF); B(i,4)=(bool)C(i,4) * (0.4*a0(i)+0.8*b0(i)-delta/sF); B(i,5)=(bool)C(i,5) * (1.0/3.0+delta); B(i,6)=(bool)C(i,6) * b0(i); } for(int i = 0 ; i < E.rows(); i++) { double sumA = 0; double sumB = 0; for(int j = 0 ; j < 7; j++) { sumA += A(i,j); sumB += B(i,j); } a[i] = sumA; b[i] = sumB; } for(int i = 0; i < E.rows(); i++) { E(i,0) = exp(-(a[i]*s0[i])); E(i,1) = exp(-(b[i]*s0[i])); E(i,2) = exp(-((1-a[i]-b[i])*s0[i])); } } template void DiffusionMultiShellQballReconstructionImageFilter ::Projection2( vnl_vector & A, vnl_vector & a, vnl_vector & b, double delta0) { const double s6 = sqrt(6); const double s15 = s6/2.0; vnl_vector delta(a.size()); delta.fill(delta0); vnl_matrix AM(a.size(), 15); vnl_matrix aM(a.size(), 15); vnl_matrix bM(a.size(), 15); vnl_matrix B(a.size(), 15); AM.set_column(0, A); AM.set_column(1, A); AM.set_column(2, A); AM.set_column(3, delta); AM.set_column(4, (A+a-b - (delta*s6))/3.0); AM.set_column(5, delta); AM.set_column(6, delta); AM.set_column(7, delta); AM.set_column(8, A); AM.set_column(9, 0.2*(a*2+A-2*(s6+1)*delta)); AM.set_column(10,0.2*(b*(-2)+A+2-2*(s6+1)*delta)); AM.set_column(11, delta); AM.set_column(12, delta); AM.set_column(13, delta); AM.set_column(14, 0.5-(1+s15)*delta); aM.set_column(0, a); aM.set_column(1, a); aM.set_column(2, -delta + 1); aM.set_column(3, a); aM.set_column(4, (A*2+a*5+b+s6*delta)/6.0); aM.set_column(5, a); aM.set_column(6, -delta + 1); aM.set_column(7, 0.5*(a+b)+(1+s15)*delta); aM.set_column(8, -delta + 1); aM.set_column(9, 0.2*(a*4+A*2+(s6+1)*delta)); aM.set_column(10, -delta + 1); aM.set_column(11, (s6+3)*delta); aM.set_column(12, -delta + 1); aM.set_column(13, -delta + 1); aM.set_column(14, -delta + 1); bM.set_column(0, b); bM.set_column(1, delta); bM.set_column(2, b); bM.set_column(3, b); bM.set_column(4, (A*(-2)+a+b*5-s6*delta)/6.0); bM.set_column(5, delta); bM.set_column(6, b); bM.set_column(7, 0.5*(a+b)-(1+s15)*delta); bM.set_column(8, delta); bM.set_column(9, delta); bM.set_column(10, 0.2*(b*4-A*2+1-(s6+1)*delta)); bM.set_column(11, delta); bM.set_column(12, delta); bM.set_column(13, -delta*(s6+3) + 1); bM.set_column(14, delta); delta0 *= 0.99; for(int i = 0 ; i < a.size(); i ++) { for(int j = 0 ; j < 15; j ++) { B(i,j) = delta0 < AM(i,j) && 2 * (AM(i,j) + delta0 * s15) < aM(i,j) - bM(i,j) && bM(i,j) > delta0 && aM(i,j) < 1- delta0; } } vnl_matrix R2(a.size(), 15); vnl_matrix A_(a.size(), 15); vnl_matrix a_(a.size(), 15); vnl_matrix b_(a.size(), 15); vnl_matrix OnesVecMat(1, 15); OnesVecMat.fill(1.0); vnl_matrix AVecMat(a.size(), 1); AVecMat.set_column(0,A); vnl_matrix aVecMat(a.size(), 1); aVecMat.set_column(0,a); vnl_matrix bVecMat(a.size(), 1); bVecMat.set_column(0,b); A_ = AM - (AVecMat * OnesVecMat); a_ = aM - (aVecMat * OnesVecMat); b_ = bM - (bVecMat * OnesVecMat); for(int i = 0 ; i < a.size(); i++) for(int j = 0 ; j < 15; j++) { A_(i,j) *= A_(i,j); a_(i,j) *= a_(i,j); b_(i,j) *= b_(i,j); } R2 = A_ + a_ + b_; for(int i = 0 ; i < a.size(); i ++) { for(int j = 0 ; j < 15; j ++) { if(B(i,j) == 0) R2(i,j) = 1e20; } } std::vector indicies(a.size()); // suche den spalten-index der zu der kleinsten Zahl einer Zeile korrespondiert for(int i = 0 ; i < a.size(); i++) { unsigned int index = 0; double minvalue = 999; for(int j = 0 ; j < 15 ; j++) { if(R2(i,j) < minvalue){ minvalue = R2(i,j); index = j; } } indicies[i] = index; } for(int i = 0 ; i < a.size(); i++) { A[i] = AM(i,indicies[i]); a[i] = aM(i,indicies[i]); b[i] = bM(i,indicies[i]); } } template void DiffusionMultiShellQballReconstructionImageFilter ::S_S0Normalization( vnl_vector & vec, typename NumericTraits::AccumulateType b0 ) { double b0f = (double)b0; for(int i = 0; i < vec.size(); i++) { if (b0f==0) b0f = 0.01; if(vec[i] >= b0f) vec[i] = b0f - 0.001; vec[i] /= b0f; } } template void DiffusionMultiShellQballReconstructionImageFilter ::S_S0Normalization( vnl_matrix & mat, typename NumericTraits::AccumulateType b0 ) { double b0f = (double)b0; for(int i = 0; i < mat.rows(); i++) { for( int j = 0; j < mat.cols(); j++ ){ if (b0f==0) b0f = 0.01; if(mat(i,j) >= b0f) mat(i,j) = b0f - 0.001; mat(i,j) /= b0f; } } } template< class T, class TG, class TO, int L, int NODF> void DiffusionMultiShellQballReconstructionImageFilter ::DoubleLogarithm(vnl_vector & vec) { for(int i = 0; i < vec.size(); i++) { vec[i] = log(-log(vec[i])); } } template< class T, class TG, class TO, int L, int NODF> void DiffusionMultiShellQballReconstructionImageFilter ::SetGradientImage( GradientDirectionContainerType *gradientDirection , const GradientImagesType *gradientImage , float bvalue) { this->m_BValue = bvalue; this->m_GradientDirectionContainer = gradientDirection; this->m_NumberOfBaselineImages = 0; this->m_ReconstructionType = Mode_Standard1Shell; GradientDirectionContainerType::ConstIterator gdcit; for( gdcit = this->m_GradientDirectionContainer->Begin(); gdcit != this->m_GradientDirectionContainer->End(); ++gdcit) { double bValueKey = int(((m_BValue* gdcit.Value().two_norm() * gdcit.Value().two_norm())+7.5)/10)*10; m_GradientIndexMap[bValueKey].push_back(gdcit.Index()); } //if(listOfUserSelctedBValues.size() == 0){ // itkExceptionMacro(<< "DiffusionMultiShellQballReconstructionImageFilter.cpp : No list Of User Selcted B Values available"); //} if(m_GradientIndexMap.size() == 0){ itkExceptionMacro(<< "DiffusionMultiShellQballReconstructionImageFilter.cpp : no GradientIndexMapAvalible"); } //if(listOfUserSelctedBValues.size() != m_GradientIndexMap.size()){ // itkExceptionMacro(<< "DiffusionMultiShellQballReconstructionImageFilter.cpp : The number of user selected B Values != number of Image BValues"); //} if(m_GradientIndexMap.size() == 4){ GradientIndexMapIteraotr it = m_GradientIndexMap.begin(); it++; const int b1 = (*it).first; it++; const int b2 = (*it).first; it++; const int b3 = (*it).first; if(b2 - b1 == b1 && b3 - b2 == b1 ) { m_ReconstructionType = Mode_Analytical3Shells; } } if(m_GradientIndexMap.size() > 2 && m_ReconstructionType != Mode_Analytical3Shells) { m_ReconstructionType = Mode_NumericalNShells; } this->m_NumberOfBaselineImages = m_GradientIndexMap[0].size(); this->m_NumberOfGradientDirections = gradientDirection->Size() - this->m_NumberOfBaselineImages; // ensure that the gradient image we received has as many components as // the number of gradient directions if( gradientImage->GetVectorLength() != this->m_NumberOfBaselineImages + m_NumberOfGradientDirections ) { itkExceptionMacro( << m_NumberOfGradientDirections << " gradients + " << this->m_NumberOfBaselineImages << "baselines = " << m_NumberOfGradientDirections + this->m_NumberOfBaselineImages << " directions specified but image has " << gradientImage->GetVectorLength() << " components."); } this->ProcessObject::SetNthInput( 0, const_cast< GradientImagesType* >(gradientImage) ); } template< class T, class TG, class TO, int L, int NODF> void DiffusionMultiShellQballReconstructionImageFilter ::BeforeThreadedGenerateData() { itk::TimeProbe clock; clock.Start(); if( m_NumberOfGradientDirections < (((L+1)*(L+2))/2) /* && m_NumberOfGradientDirections < 6 */ ) { itkExceptionMacro( << "At least " << ((L+1)*(L+2))/2 << " gradient directions are required" ); } // Input must be an itk::VectorImage. std::string gradientImageClassName(this->ProcessObject::GetInput(0)->GetNameOfClass()); if ( strcmp(gradientImageClassName.c_str(),"VectorImage") != 0 ) itkExceptionMacro( << "There is only one Gradient image. I expect that to be a VectorImage. But its of type: " << gradientImageClassName ); m_BZeroImage = BZeroImageType::New(); typename GradientImagesType::Pointer img = static_cast< GradientImagesType * >( this->ProcessObject::GetInput(0) ); m_BZeroImage->SetSpacing( img->GetSpacing() ); // Set the image spacing m_BZeroImage->SetOrigin( img->GetOrigin() ); // Set the image origin m_BZeroImage->SetDirection( img->GetDirection() ); // Set the image direction m_BZeroImage->SetLargestPossibleRegion( img->GetLargestPossibleRegion()); m_BZeroImage->SetBufferedRegion( img->GetLargestPossibleRegion() ); m_BZeroImage->Allocate(); this->ComputeReconstructionMatrix(); clock.Stop(); MITK_INFO << "Before GenerateData : " << clock.GetTotal(); } template< class T, class TG, class TO, int L, int NODF> void DiffusionMultiShellQballReconstructionImageFilter ::StandardOneShellReconstruction(const OutputImageRegionType& outputRegionForThread) { // Get output image pointer typename OutputImageType::Pointer outputImage = static_cast< OutputImageType * >(this->ProcessObject::GetOutput(0)); // ImageRegionIterator for the output image ImageRegionIterator< OutputImageType > oit(outputImage, outputRegionForThread); oit.GoToBegin(); // ImageRegionIterator for the BZero (output) image ImageRegionConstIterator< BZeroImageType > bzeroImageIterator(m_BZeroImage, outputRegionForThread); bzeroImageIterator.GoToBegin(); IndiciesVector SignalIndicies = m_GradientIndexMap[1]; // if the gradient directiosn aragement is hemispherical, duplicate all gradient directions // alone, interested in the value, the direction can be neglected if(m_IsHemisphericalArrangementOfGradientDirections){ int NumbersOfGradientIndicies = SignalIndicies.size(); for (int i = 0 ; i < NumbersOfGradientIndicies; i++) SignalIndicies.push_back(SignalIndicies[i]); } // Get input gradient image pointer typename GradientImagesType::Pointer gradientImagePointer = static_cast< GradientImagesType * >( this->ProcessObject::GetInput(0) ); // Const ImageRegionIterator for input gradient image typedef ImageRegionConstIterator< GradientImagesType > GradientIteratorType; GradientIteratorType git(gradientImagePointer, outputRegionForThread ); git.GoToBegin(); typedef typename GradientImagesType::PixelType GradientVectorType; // iterate overall voxels of the gradient image region while( ! git.IsAtEnd() ) { GradientVectorType b = git.Get(); // ODF Vector OdfPixelType odf(0.0); // Create the Signal Vector vnl_vector SignalVector(m_NumberOfGradientDirections); if( (bzeroImageIterator.Get() != 0) && (bzeroImageIterator.Get() >= m_Threshold) ) { for( unsigned int i = 0; i< SignalIndicies.size(); i++ ) { SignalVector[i] = static_cast(b[SignalIndicies[i]]); } // apply threashold an generate ln(-ln(E)) signal // Replace SignalVector with PreNormalized SignalVector S_S0Normalization(SignalVector, bzeroImageIterator.Get()); DoubleLogarithm(SignalVector); // ODF coeffs-vector vnl_vector coeffs(m_NumberCoefficients); // approximate ODF coeffs coeffs = ( (*m_CoeffReconstructionMatrix) * SignalVector ); coeffs[0] = 1.0/(2.0*sqrt(QBALL_ANAL_RECON_PI)); odf = mitk::vnl_function::element_cast(( (*m_ODFSphericalHarmonicBasisMatrix) * coeffs )).data_block(); odf *= (QBALL_ANAL_RECON_PI*4/NODF); } // set ODF to ODF-Image oit.Set( odf ); ++oit; ++bzeroImageIterator; ++git; } MITK_INFO << "One Thread finished reconstruction"; } #include //#include //#include template< class T, class TG, class TO, int L, int NODF> void DiffusionMultiShellQballReconstructionImageFilter ::NumericalNShellReconstruction(const OutputImageRegionType& outputRegionForThread) { // vnl_levenberg_marquardt LMOptimizer = new vnl_levenberg_marquardt(); } template< class T, class TG, class TO, int L, int NODF> void DiffusionMultiShellQballReconstructionImageFilter ::GenerateAveragedBZeroImage(const OutputImageRegionType& outputRegionForThread) { typedef typename GradientImagesType::PixelType GradientVectorType; ImageRegionIterator< BZeroImageType > bzeroIterator(m_BZeroImage, outputRegionForThread); bzeroIterator.GoToBegin(); IndiciesVector BZeroIndicies = m_GradientIndexMap[0]; typename GradientImagesType::Pointer gradientImagePointer = static_cast< GradientImagesType * >( this->ProcessObject::GetInput(0) ); // Const ImageRegionIterator for input gradient image typedef ImageRegionConstIterator< GradientImagesType > GradientIteratorType; GradientIteratorType git(gradientImagePointer, outputRegionForThread ); git.GoToBegin(); while( ! git.IsAtEnd() ) { GradientVectorType b = git.Get(); // compute the average bzero signal typename NumericTraits::AccumulateType b0 = NumericTraits::Zero; for(unsigned int i = 0; i < BZeroIndicies.size(); ++i) { b0 += b[BZeroIndicies[i]]; } b0 /= BZeroIndicies.size(); bzeroIterator.Set(b0); ++bzeroIterator; ++git; } } template< class T, class TG, class TO, int L, int NODF> void DiffusionMultiShellQballReconstructionImageFilter ::AnalyticalThreeShellReconstruction(const OutputImageRegionType& outputRegionForThread) { typedef typename GradientImagesType::PixelType GradientVectorType; // Input Gradient Image and Output ODF Image typename OutputImageType::Pointer outputImage = static_cast< OutputImageType * >(this->ProcessObject::GetOutput(0)); typename GradientImagesType::Pointer gradientImagePointer = static_cast< GradientImagesType * >( this->ProcessObject::GetInput(0) ); // Define Image iterators ImageRegionIterator< OutputImageType > odfOutputImageIterator(outputImage, outputRegionForThread); ImageRegionConstIterator< BZeroImageType > bzeroImageIterator(m_BZeroImage, outputRegionForThread); ImageRegionConstIterator< GradientImagesType > gradientInputImageIterator(gradientImagePointer, outputRegionForThread ); // All iterators seht to Begin of the specific OutputRegion odfOutputImageIterator.GoToBegin(); bzeroImageIterator.GoToBegin(); gradientInputImageIterator.GoToBegin(); // Get Shell Indicies for all non-BZero Gradients // it MUST be a arithmetic progression eg.: 1000, 2000, 3000 GradientIndexMapIteraotr it = m_GradientIndexMap.begin(); it++; // it = b-value = 1000 IndiciesVector Shell1Indiecies = (*it).second; it++; // it = b-value = 2000 IndiciesVector Shell2Indiecies = (*it).second; it++; // it = b-value = 3000 IndiciesVector Shell3Indiecies = (*it).second; // if input data is a hemispherical arragement, duplicate eache gradient for each shell if(m_IsHemisphericalArrangementOfGradientDirections){ int NumbersOfGradientIndicies = Shell1Indiecies.size(); for (int i = 0 ; i < NumbersOfGradientIndicies; i++){ Shell1Indiecies.push_back(Shell1Indiecies[i]); Shell2Indiecies.push_back(Shell2Indiecies[i]); Shell3Indiecies.push_back(Shell3Indiecies[i]); } } // Nx3 Signal Vector with E(0) = Shell 1, E(1) = Shell 2, E(2) = Shell 3 vnl_matrix< double > * E = new vnl_matrix(Shell1Indiecies.size(), 3); vnl_vector * AlphaValues = new vnl_vector(Shell1Indiecies.size()); vnl_vector * BetaValues = new vnl_vector(Shell1Indiecies.size()); vnl_vector * LAValues = new vnl_vector(Shell1Indiecies.size()); vnl_vector * PValues = new vnl_vector(Shell1Indiecies.size()); OdfPixelType odf(0.0); // iterate overall voxels of the gradient image region while( ! gradientInputImageIterator.IsAtEnd() ) { if( (bzeroImageIterator.Get() != 0) && (bzeroImageIterator.Get() >= m_Threshold) ) { // Get the Signal-Value for each Shell at each direction (specified in the ShellIndicies Vector .. this direction corresponse to this shell...) GradientVectorType b = gradientInputImageIterator.Get(); for(int i = 0 ; i < Shell1Indiecies.size(); i++) { E->put(i,0, static_cast(b[Shell1Indiecies[i]])); E->put(i,1, static_cast(b[Shell2Indiecies[i]])); E->put(i,2, static_cast(b[Shell3Indiecies[i]])); } //Approximated-Signal by SH fit - using the specific shell directions and values // approximated Signal : S = SHBasis * Coeffs // with Coeffs : C = (B_T * B + lambda * L) ^ -1 * B_T * OS // OS := Original-Signal E->set_column(1, (*m_SHBasisMatrix) * ((*m_SignalReonstructionMatrix) * (E->get_column(1)))); E->set_column(2, (*m_SHBasisMatrix) * ((*m_SignalReonstructionMatrix) * (E->get_column(2)))); // Normalize the Signal: Si/S0 S_S0Normalization(*E,bzeroImageIterator.Get()); //Implements Eq. [19] and Fig. 4. Threshold(*E); //inqualities [31]. Taking the lograithm of th first tree inqualities //convert the quadratic inqualities to linear ones. Projection1(*E); double E1, E2, E3, P2,A,B2,B,P,alpha,beta,lambda, ER1, ER2; for( unsigned int i = 0; i< Shell1Indiecies.size(); i++ ) { E1 = E->get(i,0); E2 = E->get(i,1); E3 = E->get(i,2); P2 = E2-E1*E1; A = (E3 -E1*E2) / ( 2* P2); B2 = A * A -(E1 * E3 - E2 * E2) /P2; B = 0; if(B2 > 0) B = sqrt(B2); P = 0; if(P2 > 0) P = sqrt(P2); alpha = A + B; beta = A - B; lambda = 0.5 + 0.5 * std::sqrt(1 - std::pow((P * 2 ) / (alpha - beta), 2));; ER1 = std::fabs(lambda * (alpha - beta) + (beta - E1 )) + std::fabs(lambda * (std::pow(alpha, 2) - std::pow(beta, 2)) + (std::pow(beta, 2) - E2 )) + std::fabs(lambda * (std::pow(alpha, 3) - std::pow(beta, 3)) + (std::pow(beta, 3) - E3 )); ER2 = std::fabs((lambda-1) * (alpha - beta) + (beta - E1 )) + std::fabs((lambda-1) * (std::pow(alpha, 2) - std::pow(beta, 2)) + (std::pow(beta, 2) - E2 )) + std::fabs((lambda-1) * (std::pow(alpha, 3) - std::pow(beta, 3)) + (std::pow(beta, 3) - E3 )); PValues->put(i, P); AlphaValues->put(i, alpha); BetaValues->put(i, beta); LAValues->put(i,(lambda * (ER1 < ER2)) + ((1-lambda) * (ER1 >= ER2))); } Projection2(*PValues, *AlphaValues, *BetaValues); //Threshold(*AlphaValues); //Threshold(*BetaValues); DoubleLogarithm(*AlphaValues); DoubleLogarithm(*BetaValues); vnl_vector SignalVector(element_product((*LAValues) , (*AlphaValues)-(*BetaValues)) + (*BetaValues)); vnl_vector coeffs((*m_CoeffReconstructionMatrix) *SignalVector ); // the first coeff is a fix value coeffs[0] = 1.0/(2.0*sqrt(QBALL_ANAL_RECON_PI)); // Cast the Signal-Type from double to float for the ODF-Image odf = mitk::vnl_function::element_cast( (*m_ODFSphericalHarmonicBasisMatrix) * coeffs ).data_block(); odf *= (QBALL_ANAL_RECON_PI*4/NODF); //Normalize(odf); } // set ODF to ODF-Image odfOutputImageIterator.Set( odf ); ++odfOutputImageIterator; // iterate ++bzeroImageIterator; ++gradientInputImageIterator; } MITK_INFO << "THREAD FINISHED"; delete E; delete AlphaValues; delete BetaValues; delete PValues; delete LAValues; } template< class T, class TG, class TO, int L, int NODF> vnl_vector DiffusionMultiShellQballReconstructionImageFilter ::AnalyticalThreeShellParameterEstimation(const IndiciesVector * shell1Indicies,const IndiciesVector * shell2Indicies ,const IndiciesVector * shell3Indicies, vnl_vector) { } template< class T, class TG, class TO, int L, int NODF> void DiffusionMultiShellQballReconstructionImageFilter ::ThreadedGenerateData(const OutputImageRegionType& outputRegionForThread, int NumberOfThreads) { itk::TimeProbe clock; GenerateAveragedBZeroImage(outputRegionForThread); clock.Start(); switch(m_ReconstructionType) { case Mode_Standard1Shell: StandardOneShellReconstruction(outputRegionForThread); break; case Mode_Analytical3Shells: AnalyticalThreeShellReconstruction(outputRegionForThread); break; case Mode_NumericalNShells: break; } clock.Stop(); MITK_INFO << "Reconstruction in : " << clock.GetTotal() << " TU"; } template< class T, class TG, class TO, int L, int NODF> void DiffusionMultiShellQballReconstructionImageFilter:: ComputeSphericalHarmonicsBasis(vnl_matrix * QBallReference, vnl_matrix *SHBasisOutput, vnl_matrix* LaplaciaBaltramiOutput, vnl_vector* SHOrderAssociation, vnl_matrix* SHEigenvalues ) { for(unsigned int i=0; i< (*SHBasisOutput).rows(); i++) { for(int k = 0; k <= L; k += 2) { for(int m =- k; m <= k; m++) { int j = ( k * k + k + 2 ) / 2 + m - 1; // Compute SHBasisFunctions double phi = (*QBallReference)(0,i); double th = (*QBallReference)(1,i); (*SHBasisOutput)(i,j) = mitk::sh::Yj(m,k,th,phi); // Laplacian Baltrami Order Association if(LaplaciaBaltramiOutput) (*LaplaciaBaltramiOutput)(j,j) = k*k*(k + 1)*(k+1); // SHEigenvalues with order Accosiation kj if(SHEigenvalues) (*SHEigenvalues)(j,j) = -k* (k+1); // Order Association if(SHOrderAssociation) (*SHOrderAssociation)[j] = k; } } } } template< class T, class TG, class TO, int L, int NODF> void DiffusionMultiShellQballReconstructionImageFilter ::ComputeFunkRadonTransformationMatrix(vnl_vector* SHOrderAssociationReference, vnl_matrix* FRTMatrixOutput ) { for(int i=0; i bool DiffusionMultiShellQballReconstructionImageFilter ::CheckHemisphericalArrangementOfGradientDirections() { // handle acquisition schemes where only half of the spherical // shell is sampled by the gradient directions. In this case, // each gradient direction is duplicated in negative direction. vnl_vector centerMass(3); centerMass.fill(0.0); int count = 0; GradientDirectionContainerType::ConstIterator gdcit1; for( gdcit1 = this->m_GradientDirectionContainer->Begin(); gdcit1 != this->m_GradientDirectionContainer->End(); ++gdcit1) { if(gdcit1.Value().one_norm() > 0.0) { centerMass += gdcit1.Value(); count ++; } } centerMass /= count; if(centerMass.two_norm() > 0.1) { return false; } return true; } template< class T, class TG, class TO, int L, int NOdfDirections> void DiffusionMultiShellQballReconstructionImageFilter ::ComputeReconstructionMatrix() { typedef std::auto_ptr< vnl_matrix< double> > MatrixDoublePtr; typedef std::auto_ptr< vnl_vector< int > > VectorIntPtr; typedef std::auto_ptr< vnl_matrix_inverse< double > > InverseMatrixDoublePtr; std::map >::const_iterator it = (m_GradientIndexMap.begin()); it++; const std::vector gradientIndiciesVector= (*it).second; int numberOfGradientDirections = gradientIndiciesVector.size(); if( numberOfGradientDirections < (((L+1)*(L+2))/2) || numberOfGradientDirections < 6 ) { itkExceptionMacro( << "At least (L+1)(L+2)/2 gradient directions for each shell are required; current : " << numberOfGradientDirections ); } CheckDuplicateDiffusionGradients(); // check if gradient directions are arrangement as a hemisphere(true) or sphere(false) m_IsHemisphericalArrangementOfGradientDirections = CheckHemisphericalArrangementOfGradientDirections(); if(m_IsHemisphericalArrangementOfGradientDirections) numberOfGradientDirections *= 2; MatrixDoublePtr Q(new vnl_matrix(3, numberOfGradientDirections)); Q->fill(0.0); // Cartesian to spherical coordinates { int j = 0; for(int i = 0; i < gradientIndiciesVector.size(); i++) { double x = this->m_GradientDirectionContainer->ElementAt(gradientIndiciesVector[i]).get(0); double y = this->m_GradientDirectionContainer->ElementAt(gradientIndiciesVector[i]).get(1); double z = this->m_GradientDirectionContainer->ElementAt(gradientIndiciesVector[i]).get(2); double cart[3]; mitk::sh::Cart2Sph(x,y,z,cart); (*Q)(0,j) = cart[0]; (*Q)(1,j) = cart[1]; (*Q)(2,j++) = cart[2]; } if(m_IsHemisphericalArrangementOfGradientDirections) { for(int i = 0; i < gradientIndiciesVector.size(); i++) { double x = this->m_GradientDirectionContainer->ElementAt(gradientIndiciesVector[i]).get(0); double y = this->m_GradientDirectionContainer->ElementAt(gradientIndiciesVector[i]).get(1); double z = this->m_GradientDirectionContainer->ElementAt(gradientIndiciesVector[i]).get(2); double cart[3]; mitk::sh::Cart2Sph(x,y,z,cart); (*Q)(0,j) = cart[0]; (*Q)(1,j) = cart[1]; (*Q)(2,j++) = cart[2]; } } } const int LOrder = L; m_NumberCoefficients = (int)(LOrder*LOrder + LOrder + 2.0)/2.0 + LOrder; MITK_INFO << m_NumberCoefficients; m_SHBasisMatrix = new vnl_matrix(numberOfGradientDirections,m_NumberCoefficients); m_SHBasisMatrix->fill(0.0); VectorIntPtr SHOrderAssociation(new vnl_vector(m_NumberCoefficients)); SHOrderAssociation->fill(0.0); MatrixDoublePtr LaplacianBaltrami(new vnl_matrix(m_NumberCoefficients,m_NumberCoefficients)); LaplacianBaltrami->fill(0.0); MatrixDoublePtr FRTMatrix(new vnl_matrix(m_NumberCoefficients,m_NumberCoefficients)); FRTMatrix->fill(0.0); MatrixDoublePtr SHEigenvalues(new vnl_matrix(m_NumberCoefficients,m_NumberCoefficients)); SHEigenvalues->fill(0.0); // SHBasis-Matrix + LaplacianBaltrami-Matrix + SHOrderAssociationVector ComputeSphericalHarmonicsBasis(Q.get() ,m_SHBasisMatrix, LaplacianBaltrami.get(), SHOrderAssociation.get(), SHEigenvalues.get()); // Compute FunkRadon Transformation Matrix Associated to SHBasis Order lj ComputeFunkRadonTransformationMatrix(SHOrderAssociation.get() ,FRTMatrix.get()); MatrixDoublePtr temp(new vnl_matrix(((m_SHBasisMatrix->transpose()) * (*m_SHBasisMatrix)) + (m_Lambda * (*LaplacianBaltrami)))); InverseMatrixDoublePtr pseudo_inv(new vnl_matrix_inverse((*temp))); MatrixDoublePtr inverse(new vnl_matrix(m_NumberCoefficients,m_NumberCoefficients)); inverse->fill(0.0); (*inverse) = pseudo_inv->inverse(); // ODF Factor ( missing 1/4PI ?? ) double factor = (1.0/(16.0*QBALL_ANAL_RECON_PI*QBALL_ANAL_RECON_PI)); m_SignalReonstructionMatrix = new vnl_matrix((*inverse) * (m_SHBasisMatrix->transpose())); m_CoeffReconstructionMatrix = new vnl_matrix(( factor * ((*FRTMatrix) * ((*SHEigenvalues) * (*m_SignalReonstructionMatrix))) )); // this code goes to the image adapter coeffs->odfs later vnl_matrix_fixed* U = itk::PointShell >::DistributePointShell(); m_ODFSphericalHarmonicBasisMatrix = new vnl_matrix(NOdfDirections,m_NumberCoefficients); m_ODFSphericalHarmonicBasisMatrix->fill(0.0); for(int i=0; i template< class VNLType > void DiffusionMultiShellQballReconstructionImageFilter ::printMatrix( VNLType * mat ) { std::stringstream stream; for(int i = 0 ; i < mat->rows(); i++) { stream.str(""); for(int j = 0; j < mat->cols(); j++) { stream << (*mat)(i,j) << " "; } } MITK_INFO << stream.str(); } template< class T, class TG, class TO, int L, int NODF> bool DiffusionMultiShellQballReconstructionImageFilter ::CheckDuplicateDiffusionGradients() { bool value = false; GradientIndexMapIteraotr mapIterator = m_GradientIndexMap.begin(); while(mapIterator != m_GradientIndexMap.end()) { std::vector::const_iterator it1 = mapIterator->second.begin(); std::vector::const_iterator it2 = mapIterator->second.begin(); for(; it1 != mapIterator->second.end(); ++it1) { for(; it2 != mapIterator->second.end(); ++it2) { if(m_GradientDirectionContainer->ElementAt(*it1) == m_GradientDirectionContainer->ElementAt(*it2) && it1 != it2) { itkWarningMacro( << "Some of the Diffusion Gradients equal each other. Corresponding image data should be averaged before calling this filter." ); value = true; } } } ++mapIterator; } return value; } template< class T, class TG, class TO, int L, int NODF> void DiffusionMultiShellQballReconstructionImageFilter ::PrintSelf(std::ostream& os, Indent indent) const { std::locale C("C"); std::locale originalLocale = os.getloc(); os.imbue(C); Superclass::PrintSelf(os,indent); //os << indent << "OdfReconstructionMatrix: " << m_ReconstructionMatrix << std::endl; if ( m_GradientDirectionContainer ) { os << indent << "GradientDirectionContainer: " << m_GradientDirectionContainer << std::endl; } else { os << indent << "GradientDirectionContainer: (Gradient directions not set)" << std::endl; } os << indent << "NumberOfGradientDirections: " << m_NumberOfGradientDirections << std::endl; os << indent << "NumberOfBaselineImages: " << m_NumberOfBaselineImages << std::endl; os << indent << "Threshold for reference B0 image: " << m_Threshold << std::endl; os << indent << "BValue: " << m_BValue << std::endl; os.imbue( originalLocale ); } } #endif // __itkDiffusionMultiShellQballReconstructionImageFilter_cpp diff --git a/Modules/DiffusionImaging/Reconstruction/itkDiffusionMultiShellQballReconstructionImageFilter.h b/Modules/DiffusionImaging/Reconstruction/itkDiffusionMultiShellQballReconstructionImageFilter.h index 3e381c8221..88ad2d65a9 100644 --- a/Modules/DiffusionImaging/Reconstruction/itkDiffusionMultiShellQballReconstructionImageFilter.h +++ b/Modules/DiffusionImaging/Reconstruction/itkDiffusionMultiShellQballReconstructionImageFilter.h @@ -1,216 +1,215 @@ -/*========================================================================= +/*=================================================================== -Program: Medical Imaging & Interaction Toolkit -Language: C++ -Date: $Date: 2009-07-14 19:11:20 +0200 (Tue, 14 Jul 2009) $ -Version: $Revision: 18127 $ +The Medical Imaging Interaction Toolkit (MITK) -Copyright (c) German Cancer Research Center, Division of Medical and -Biological Informatics. All rights reserved. -See MITKCopyright.txt or http://www.mitk.org/copyright.html for details. +Copyright (c) German Cancer Research Center, +Division of Medical and Biological Informatics. +All rights reserved. -This software is distributed WITHOUT ANY WARRANTY; without even -the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR -PURPOSE. See the above copyright notices for more information. +This software is distributed WITHOUT ANY WARRANTY; without +even the implied warranty of MERCHANTABILITY or FITNESS FOR +A PARTICULAR PURPOSE. -=========================================================================*/ +See LICENSE.txt or http://www.mitk.org for details. + +===================================================================*/ #ifndef __itkDiffusionMultiShellQballReconstructionImageFilter_h_ #define __itkDiffusionMultiShellQballReconstructionImageFilter_h_ #include "itkImageToImageFilter.h" #include "vnl/vnl_vector_fixed.h" #include "vnl/vnl_matrix.h" #include "vnl/algo/vnl_svd.h" #include "itkVectorContainer.h" #include "itkVectorImage.h" #include namespace itk{ /** \class DiffusionMultiShellQballReconstructionImageFilter Aganj_2010 */ template< class TReferenceImagePixelType, class TGradientImagePixelType, class TOdfPixelType, int NOrderL, int NrOdfDirections> class DiffusionMultiShellQballReconstructionImageFilter : public ImageToImageFilter< Image< TReferenceImagePixelType, 3 >, Image< Vector< TOdfPixelType, NrOdfDirections >, 3 > > { public: typedef DiffusionMultiShellQballReconstructionImageFilter Self; typedef SmartPointer Pointer; typedef SmartPointer ConstPointer; typedef ImageToImageFilter< Image< TReferenceImagePixelType, 3>, Image< Vector< TOdfPixelType, NrOdfDirections >, 3 > > Superclass; typedef TReferenceImagePixelType ReferencePixelType; typedef TGradientImagePixelType GradientPixelType; typedef Vector< TOdfPixelType, NrOdfDirections > OdfPixelType; typedef typename Superclass::InputImageType ReferenceImageType; typedef Image< OdfPixelType, 3 > OdfImageType; typedef OdfImageType OutputImageType; typedef TOdfPixelType BZeroPixelType; typedef Image< BZeroPixelType, 3 > BZeroImageType; typedef typename Superclass::OutputImageRegionType OutputImageRegionType; /** Typedef defining one (of the many) gradient images. */ typedef Image< GradientPixelType, 3 > GradientImageType; /** An alternative typedef defining one (of the many) gradient images. * It will be assumed that the vectorImage has the same dimension as the * Reference image and a vector length parameter of \c n (number of * gradient directions)*/ typedef VectorImage< GradientPixelType, 3 > GradientImagesType; /** Holds the ODF reconstruction matrix */ typedef vnl_matrix< TOdfPixelType >* OdfReconstructionMatrixType; typedef vnl_matrix< double > * CoefficientMatrixType; /** Holds each magnetic field gradient used to acquire one DWImage */ typedef vnl_vector_fixed< double, 3 > GradientDirectionType; /** Container to hold gradient directions of the 'n' DW measurements */ typedef VectorContainer< unsigned int, GradientDirectionType > GradientDirectionContainerType; typedef std::map > GradientIndexMap; typedef std::map >::iterator GradientIndexMapIteraotr; typedef std::vector IndiciesVector; // --------------------------------------------------------------------------------------------// /** Method for creation through the object factory. */ itkNewMacro(Self); /** Runtime information support. */ itkTypeMacro(DiffusionMultiShellQballReconstructionImageFilter, ImageToImageFilter); /** set method to add gradient directions and its corresponding * image. The image here is a VectorImage. The user is expected to pass the * gradient directions in a container. The ith element of the container * corresponds to the gradient direction of the ith component image the * VectorImage. For the baseline image, a vector of all zeros * should be set.*/ void SetGradientImage( GradientDirectionContainerType *, const GradientImagesType *image , float bvalue);//, std::vector listOfUserSelctedBValues ); /** Get reference image */ virtual ReferenceImageType * GetReferenceImage() { return ( static_cast< ReferenceImageType *>(this->ProcessObject::GetInput(0)) ); } /** Return the gradient direction. idx is 0 based */ virtual GradientDirectionType GetGradientDirection( unsigned int idx) const { if( idx >= m_GradientDirectionContainer->Size() ) { itkExceptionMacro( << "Gradient direction " << idx << "does not exist" ); } return m_GradientDirectionContainer->ElementAt( idx+1 ); } void Normalize(OdfPixelType & odf ); void S_S0Normalization( vnl_vector & vec, typename NumericTraits::AccumulateType b0 = 0 ); void S_S0Normalization( vnl_matrix & mat, typename NumericTraits::AccumulateType b0 = 0 ); void DoubleLogarithm(vnl_vector & vec); void Threshold(vnl_vector & vec, double delta = 0.01); void Threshold(vnl_matrix & mat, double delta = 0.01); double CalculateThreashold(const double value, const double delta); void Projection1( vnl_matrix & mat, double delta = 0.01); void Projection2( vnl_vector & A, vnl_vector & alpha, vnl_vector & beta, double delta = 0.01); /** Threshold on the reference image data. The output ODF will be a null * pdf for pixels in the reference image that have a value less than this * threshold. */ itkSetMacro( Threshold, ReferencePixelType ); itkGetMacro( Threshold, ReferencePixelType ); itkGetMacro( BZeroImage, typename BZeroImageType::Pointer); //itkGetMacro( ODFSumImage, typename BlaImage::Pointer); itkSetMacro( Lambda, double ); itkGetMacro( Lambda, double ); itkGetConstReferenceMacro( BValue, TOdfPixelType); protected: DiffusionMultiShellQballReconstructionImageFilter(); ~DiffusionMultiShellQballReconstructionImageFilter() {}; void PrintSelf(std::ostream& os, Indent indent) const; void ComputeReconstructionMatrix(); bool CheckDuplicateDiffusionGradients(); void ComputeSphericalHarmonicsBasis(vnl_matrix* QBallReference, vnl_matrix* SHBasisOutput, vnl_matrix* LaplaciaBaltramiOutput, vnl_vector* SHOrderAssociation , vnl_matrix * SHEigenvalues); void ComputeFunkRadonTransformationMatrix(vnl_vector* SHOrderAssociationReference, vnl_matrix* FRTMatrixOutput ); bool CheckHemisphericalArrangementOfGradientDirections(); void BeforeThreadedGenerateData(); void ThreadedGenerateData( const OutputImageRegionType &outputRegionForThread, int NumberOfThreads ); vnl_vector AnalyticalThreeShellParameterEstimation(const IndiciesVector * shell1, const IndiciesVector * shell2, const IndiciesVector * shell3, vnl_vector b); void StandardOneShellReconstruction(const OutputImageRegionType& outputRegionForThread); void AnalyticalThreeShellReconstruction(const OutputImageRegionType& outputRegionForThread); void NumericalNShellReconstruction(const OutputImageRegionType& outputRegionForThread); void GenerateAveragedBZeroImage(const OutputImageRegionType& outputRegionForThread); private: enum ReconstructionType { Mode_Analytical3Shells, Mode_NumericalNShells, Mode_Standard1Shell }; //CoefficientMatrixType m_ReconstructionMatrix; CoefficientMatrixType m_CoeffReconstructionMatrix; CoefficientMatrixType m_ODFSphericalHarmonicBasisMatrix; CoefficientMatrixType m_SignalReonstructionMatrix; CoefficientMatrixType m_SHBasisMatrix; /** container to hold gradient directions */ GradientDirectionContainerType::Pointer m_GradientDirectionContainer; /** Number of gradient measurements */ unsigned int m_NumberOfGradientDirections; /** Number of baseline images */ unsigned int m_NumberOfBaselineImages; /** Threshold on the reference image data */ ReferencePixelType m_Threshold; /** LeBihan's b-value for normalizing tensors */ float m_BValue; typename BZeroImageType::Pointer m_BZeroImage; GradientIndexMap m_GradientIndexMap; double m_Lambda; bool m_IsHemisphericalArrangementOfGradientDirections; bool m_IsArithmeticProgession; int m_NumberCoefficients; ReconstructionType m_ReconstructionType; template< class VNLType > void printMatrix( VNLType * mat ); }; } #ifndef ITK_MANUAL_INSTANTIATION #include "itkDiffusionMultiShellQballReconstructionImageFilter.cpp" #endif #endif //__itkDiffusionMultiShellQballReconstructionImageFilter_h_ diff --git a/Modules/DiffusionImaging/mitkDiffusionFunctionCollection.h b/Modules/DiffusionImaging/mitkDiffusionFunctionCollection.h index f919337f8f..2c517178b1 100644 --- a/Modules/DiffusionImaging/mitkDiffusionFunctionCollection.h +++ b/Modules/DiffusionImaging/mitkDiffusionFunctionCollection.h @@ -1,47 +1,46 @@ -/*========================================================================= +/*=================================================================== -Program: Medical Imaging & Interaction Toolkit -Language: C++ -Date: $Date: 2009-07-14 19:11:20 +0200 (Tue, 14 Jul 2009) $ -Version: $Revision: 18127 $ +The Medical Imaging Interaction Toolkit (MITK) -Copyright (c) German Cancer Research Center, Division of Medical and -Biological Informatics. All rights reserved. -See MITKCopyright.txt or http://www.mitk.org/copyright.html for details. +Copyright (c) German Cancer Research Center, +Division of Medical and Biological Informatics. +All rights reserved. -This software is distributed WITHOUT ANY WARRANTY; without even -the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR -PURPOSE. See the above copyright notices for more information. +This software is distributed WITHOUT ANY WARRANTY; without +even the implied warranty of MERCHANTABILITY or FITNESS FOR +A PARTICULAR PURPOSE. -=========================================================================*/ +See LICENSE.txt or http://www.mitk.org for details. + +===================================================================*/ #ifndef __mitkDiffusionFunctionCollection_h_ #define __mitkDiffusionFunctionCollection_h_ template class vnl_vector; namespace mitk{ namespace sh { double factorial(int number); void Cart2Sph(double x, double y, double z, double* cart); double legendre0(int l); double spherical_harmonic(int m,int l,double theta,double phi, bool complexPart); double Yj(int m, int k, double theta, double phi); } namespace vnl_function { template vnl_vector element_cast (vnl_vector const& v1); } } #endif //__mitkDiffusionFunctionCollection_h_