/usr/include/ITK-4.9/itkImageKmeansModelEstimator.hxx is in libinsighttoolkit4-dev 4.9.0-4ubuntu1.
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*
* Copyright Insight Software Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0.txt
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
*=========================================================================*/
#ifndef itkImageKmeansModelEstimator_hxx
#define itkImageKmeansModelEstimator_hxx
#include "itkImageKmeansModelEstimator.h"
namespace itk
{
template< typename TInputImage,
typename TMembershipFunction >
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::ImageKmeansModelEstimator(void)
{
m_ValidInCodebook = false;
m_DoubleMaximum = NumericTraits< double >::max();
m_Threshold = 0.01;
m_OffsetAdd = 0.01;
m_OffsetMultiply = 0.01;
m_MaxSplitAttempts = 10;
m_OutputDistortion = 0.0;
m_OutputNumberOfEmptyCells = 0;
m_VectorDimension = 1;
m_NumberOfCodewords = 1;
m_CurrentNumberOfCodewords = 1;
}
template< typename TInputImage,
typename TMembershipFunction >
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::~ImageKmeansModelEstimator(void)
{}
/**
* PrintSelf
*/
template< typename TInputImage,
typename TMembershipFunction >
void
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::PrintSelf(std::ostream & os, Indent indent) const
{
os << indent << " " << std::endl;
os << indent << "Kmeans Models " << std::endl;
os << indent << "Results printed in the superclass " << std::endl;
os << indent << " " << std::endl;
Superclass::PrintSelf(os, indent);
os << indent << "Unsupervised Classifier / Clusterer" << std::endl;
os << indent << "Offset value for addition:" << m_OffsetAdd << std::endl;
os << indent << "Offset value for multiplication:" << m_OffsetMultiply << std::endl;
os << indent << "Maximum number of attempts to split a cluster: " << m_MaxSplitAttempts << std::endl;
os << indent << "Codebook : " << m_Codebook << std::endl;
os << indent << "Threshold value :" << m_Threshold << std::endl;
} // end PrintSelf
template< typename TInputImage,
typename TMembershipFunction >
void
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::PrintKmeansAlgorithmResults()
{
itkDebugMacro(<< " ");
itkDebugMacro(<< "Results of the clustering algorithms");
itkDebugMacro(<< "====================================");
itkDebugMacro(<< " ");
itkDebugMacro(<< "Means of the clustered vector ");
itkDebugMacro(<< "++++++++++++++++++++++++++++++++++++");
itkDebugMacro(<< m_Centroid);
itkDebugMacro(<< " ");
itkDebugMacro(<< "Distortion measures ");
itkDebugMacro(<< "+++++++++++++++++++++++++++++++++++ ");
itkDebugMacro(<< m_CodewordDistortion);
itkDebugMacro(<< " ");
itkDebugMacro(<< "Histogram of the vector ");
itkDebugMacro(<< "+++++++++++++++++++++++++++++++++++ ");
itkDebugMacro(<< m_CodewordHistogram);
} // End PrintKmeansAlgorithmResults
/**
* Generate data (start the model building process)
*/
template< typename TInputImage,
typename TMembershipFunction >
void
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::GenerateData()
{
this->EstimateModels();
} // end Generate data
// Set the input codebook and allocate memory
// for the output codebook and other scratch memory
template< typename TInputImage,
typename TMembershipFunction >
void
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::SetCodebook(CodebookMatrixOfDoubleType inCodebook)
{
m_Codebook = inCodebook;
//Check if the input codebook is a valid
if ( InputImagePixelType::GetVectorDimension() == m_Codebook.cols() )
{
m_ValidInCodebook = true;
this->Allocate();
}
} //End SetInCodebook
// Allocate scratch memory
template< typename TInputImage,
typename TMembershipFunction >
void
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::Allocate()
{
SizeValueType initCodebookSize, finalCodebookSize;
m_VectorDimension = InputImagePixelType::GetVectorDimension();
if ( m_ValidInCodebook )
{
m_NumberOfCodewords = m_Codebook.rows();
m_VectorDimension = m_Codebook.cols();
// Set the initial and final codebook size
finalCodebookSize = m_NumberOfCodewords;
} // end(if valid codebook clause)
else
{
m_ValidInCodebook = true;
//Check the validity of the n
if ( this->GetNumberOfModels() <= 0 )
{
itkExceptionMacro(<< "Number of models is less than 0.");
}
m_NumberOfCodewords = this->GetNumberOfModels();
m_VectorDimension = InputImagePixelType::GetVectorDimension();
// Set the initial and final codebook size
initCodebookSize = (SizeValueType)1;
finalCodebookSize = (SizeValueType)m_NumberOfCodewords;
m_Codebook.set_size(initCodebookSize, m_VectorDimension);
// initialize m_Codebook to 0 (it now has only one row)
m_Codebook.fill(0);
} // end (else not valid codebook clause)
//----------------------------------------------------------
//Allocate scratch memory for the centroid, codebook histogram
//and the codebook distortion
m_Centroid.set_size(finalCodebookSize, m_VectorDimension);
m_Centroid.fill(0);
m_CodewordHistogram.set_size(m_NumberOfCodewords, 1);
m_CodewordHistogram.fill(0);
m_CodewordDistortion.set_size(m_NumberOfCodewords, 1);
m_CodewordDistortion.fill(0);
} // end Allocate function
//-----------------------------------------------------------------
//Reallocate various memories and then make a copy of the old data
//-----------------------------------------------------------------
template< typename TInputImage,
typename TMembershipFunction >
void
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::Reallocate(int oldSize, int newSize)
{
//Set up a temporary codebook
CodebookMatrixOfDoubleType tmpCodebook(oldSize, m_VectorDimension);
//Save the contents of m_Codebook in the tmpCodebook
tmpCodebook = m_Codebook;
m_Codebook.set_size(newSize, m_VectorDimension);
// Copy back the saved data into the codebook
if ( oldSize < newSize )
{
for ( int r = 0; r < oldSize; r++ )
{
for ( unsigned int c = 0; c < m_VectorDimension; c++ )
{
m_Codebook[r][c] = tmpCodebook[r][c];
}
}
for ( int r = oldSize; r < newSize; r++ )
{
for ( unsigned int c = 0; c < m_VectorDimension; c++ )
{
m_Codebook[r][c] = 0;
}
}
} // if oldsize is smaller than the new size
else
{
for ( int r = 0; r < newSize; r++ )
{
for ( unsigned int c = 0; c < m_VectorDimension; c++ )
{
m_Codebook[r][c] = tmpCodebook[r][c];
}
}
} // else oldsize is greater than the new size
} // end Reallocate
//-----------------------------------------------------------------
// Takes a set of training images and returns the means
// and variance of the various classes defined in the
// training set.
//-----------------------------------------------------------------
template< typename TInputImage,
typename TMembershipFunction >
void
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::EstimateModels()
{
this->EstimateKmeansModelParameters();
//-------------------------------------------------------------------
// Set up the membership calculators
//-------------------------------------------------------------------
unsigned int numberOfModels = this->GetNumberOfModels();
//-------------------------------------------------------------------
// Call local function to estimate mean variances of the various
// class labels in the training set
// The statistics class functions have not been used since all the
// class statistics are calculated simultaneously here.
//-------------------------------------------------------------------
//-------------------------------------------------------------------
// Populate the membership functions for all the classes
//-------------------------------------------------------------------
MembershipFunctionPointer membershipFunction;
if ( this->GetNumberOfMembershipFunctions() > 0 )
{
this->DeleteAllMembershipFunctions();
}
for ( unsigned int classIndex = 0; classIndex < numberOfModels; classIndex++ )
{
membershipFunction = TMembershipFunction::New();
typename TMembershipFunction::CentroidType centroid;
centroid = m_Centroid.get_row(classIndex);
membershipFunction->SetCentroid(centroid);
this->AddMembershipFunction(membershipFunction);
}
} // end EstimateModels
//-----------------------------------------------------------------
//Estimate K-means models (private function) for the core function
//-----------------------------------------------------------------
template< typename TInputImage,
typename TMembershipFunction >
void
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::EstimateKmeansModelParameters()
{
//If a codebook is provided by the user then call the
//Kmenas algorithm directly that is based on the
//Generalized Lloyd algorithm (GLA) if a valid codebook
//is provided or m_NumberOfModels is set to 0, else
//Linde-Buzo-Gray algorithm is used for clustering
if ( m_ValidInCodebook )
{
WithCodebookUseGLA();
}
else
{
//Assign memory for the initial codebook
//since no input codebook is provided for this
//function
Allocate();
m_CurrentNumberOfCodewords = m_Codebook.rows();
WithoutCodebookUseLBG();
}
m_ValidInCodebook = false;
} // end EstimateKmeansModelParameters
//-----------------------------------------------------------------
template< typename TInputImage,
typename TMembershipFunction >
int
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::WithCodebookUseGLA()
{
// Do the Lloyd iteration. Use the nearest neighbor condition to
// find the cells. Then find the centroid of each cell.
// First pass requires very large distortion
double olddistortion = m_DoubleMaximum;
double distortion, tempdistortion;
int pass = 0; // no empty cells have been found yet
int emptycells;
int bestcodeword;
m_CurrentNumberOfCodewords = m_Codebook.rows();
do
{
// encode all of the input vectors using the given codebook
NearestNeighborSearchBasic(&distortion);
// check for lack of convergence
if ( olddistortion < distortion )
{
itkExceptionMacro(<< "Distortion is increasing, not decreasing");
}
// find number of empty cells
emptycells = 0;
for ( unsigned int i = 0; i < m_CurrentNumberOfCodewords; i++ )
{
if ( m_CodewordHistogram[i][0] == 0 )
{
emptycells += 1;
m_CodewordDistortion[i][0] = 0.0;
}
}
// if distortion = 0.0, or
// if change in distortion < threshold AND there aren't any empty cells,
// and exit
if ( ( distortion == 0.0 ) || ( ( emptycells == 0 )
&& ( olddistortion - distortion ) / distortion < m_Threshold ) )
{
m_OutputNumberOfEmptyCells = emptycells;
m_OutputDistortion = distortion;
return GLA_CONVERGED;
}
// no empty cells, find new centroids and reinitialize for next pass
if ( emptycells == 0 )
{
for ( unsigned int i = 0; i < m_CurrentNumberOfCodewords; i++ )
{
for ( unsigned int j = 0; j < m_VectorDimension; j++ )
{
m_Codebook[i][j] = m_Centroid[i][j];
}
}
olddistortion = distortion;
pass = 0;
} // end if
// there are empty cells, split the highest distortion codewords.
// try again
else
{
// If there have been too many attempts to fill cells, stop iterations
if ( pass == m_MaxSplitAttempts )
{
itkWarningMacro(<< "Unable to fill all empty cells");
m_OutputNumberOfEmptyCells = emptycells;
m_OutputDistortion = distortion;
return GLA_CONVERGED;
}
// try getting new codewords, send a warning to user
itkDebugMacro(<< "Attempting to fill empty cells in the codebook");
// consolidate the highest distortion codewords into the beginning
// of the array. Take care to protect zero distortion codewords
// which have a positive m_CodewordHistogram. note: there must be a
// faster sort algorithm, but this event should be very unlikely
for ( unsigned int n = 0; n < m_CurrentNumberOfCodewords - emptycells; n++ )
{
tempdistortion = 0.0;
bestcodeword = 0;
for ( unsigned int i = 0; i < m_NumberOfCodewords; i++ )
{
if ( ( m_CodewordDistortion[i][0] >= tempdistortion )
&& ( m_CodewordHistogram[i][0] > 0 ) )
{
tempdistortion = m_CodewordDistortion[i][0];
bestcodeword = i;
}
}
// put highest distortion centroid into nth codebook row,
// and erase the set of hightest centroid stats to 0 so
// it will not be used again.
// find centroid, reinitialize
for ( unsigned int j = 0; j < m_VectorDimension; j++ )
{
m_Codebook[n][j] = m_Centroid[bestcodeword][j];
}
m_CodewordHistogram[bestcodeword][0] = 0;
m_CodewordDistortion[bestcodeword][0] = 0.0;
}
// split the required number of codewords
SplitCodewords(m_CurrentNumberOfCodewords - emptycells,
emptycells, pass);
olddistortion = distortion;
pass++;
} // end else
}
while ( pass <= m_MaxSplitAttempts );
itkExceptionMacro(<< "Lack of convergence");
} // end WithCodebookUseGLA
//-----------------------------------------------------------------
template< typename TInputImage,
typename TMembershipFunction >
void
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::NearestNeighborSearchBasic(double *distortion)
{
//itkDebugMacro(<<"Start nearest_neighbor_search_basic()");
double bestdistortion, tempdistortion, diff;
int bestcodeword;
double *tempVec = (double *)new double[m_VectorDimension];
// unused: double *centroidVecTemp = ( double * ) new double[m_VectorDimension];
// initialize codeword histogram and distortion
for ( unsigned int i = 0; i < m_CurrentNumberOfCodewords; i++ )
{
m_CodewordHistogram[i][0] = 0;
m_CodewordDistortion[i][0] = 0.0;
}
// initialize centroid if it exists
m_Centroid.fill(0);
// perform encoding using partial distortion method
*distortion = 0.0;
//-----------------------------------------------------------------
// Declare the iterators for the image and the codebook
//-----------------------------------------------------------------
InputImageConstPointer inputImage = this->GetInputImage();
InputImageConstIterator inputImageIt( inputImage, inputImage->GetBufferedRegion() );
inputImageIt.GoToBegin();
//-----------------------------------------------------------------
// Calculate the number of vectors in the input data set
//-----------------------------------------------------------------
ImageSizeType size = inputImage->GetBufferedRegion().GetSize();
unsigned int totalNumVecsInInput = 1;
for ( unsigned int i = 0; i < TInputImage::ImageDimension; i++ )
{
totalNumVecsInInput *= (SizeValueType)size[i];
}
//-----------------------------------------------------------------
//Loop through the input image vectors
//-----------------------------------------------------------------
InputPixelVectorType inputImagePixelVector;
for ( unsigned int n = 0; n < totalNumVecsInInput; n++ )
{
// keep convention that ties go to lower index
bestdistortion = m_DoubleMaximum;
bestcodeword = 0;
for ( unsigned int i = 0; i < m_CurrentNumberOfCodewords; i++ )
{
// find the best codeword
tempdistortion = 0.0;
inputImagePixelVector = inputImageIt.Get();
for ( unsigned int j = 0; j < m_VectorDimension; j++ )
{
diff = (double)( inputImagePixelVector[j] - m_Codebook[i][j] );
tempdistortion += diff * diff;
if ( tempdistortion > bestdistortion ) { break; }
}
if ( tempdistortion < bestdistortion )
{
bestdistortion = tempdistortion;
bestcodeword = i;
}
// if the bestdistortion is 0.0, the best codeword is found
if ( bestdistortion == 0.0 ) { break; }
}
m_CodewordHistogram[bestcodeword][0] += 1;
m_CodewordDistortion[bestcodeword][0] += bestdistortion;
*distortion += bestdistortion;
//inputImagePixelVector = *tempImgIt;
inputImagePixelVector = inputImageIt.Get();
for ( unsigned int j = 0; j < m_VectorDimension; j++ )
{
m_Centroid[bestcodeword][j] += inputImagePixelVector[j];
}
++inputImageIt;
} // all training vectors have been encoded
// compute table frequency and distortion
for ( unsigned int i = 0; i < m_CurrentNumberOfCodewords; i++ )
{
if ( m_CodewordHistogram[i][0] > 0 )
{
m_CodewordDistortion[i][0] /= (double)m_CodewordHistogram[i][0];
}
}
// compute centroid
for ( unsigned int i = 0; i < m_CurrentNumberOfCodewords; i++ )
{
if ( m_CodewordHistogram[i][0] > 0 )
{
for ( unsigned int j = 0; j < m_VectorDimension; j++ )
{
m_Centroid[i][j] /= (double)m_CodewordHistogram[i][0];
}
}
}
// normalize the distortions
*distortion /= (double)totalNumVecsInInput;
delete[] tempVec;
// check for bizarre errors
if ( *distortion < 0.0 )
{
itkExceptionMacro(<< "Computational overflow");
}
} // End nearest_neighbor_search_basic
//-----------------------------------------------------------------
template< typename TInputImage,
typename TMembershipFunction >
void
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::SplitCodewords(int currentSize, int numDesired, int scale)
{
double *newCodebookData = (double *)new double[m_VectorDimension];
double *inCodebookData = (double *)new double[m_VectorDimension];
for ( int i = 0; i < numDesired; i++ )
{
for ( unsigned int j = 0; j < m_VectorDimension; j++ )
{
inCodebookData[j] = m_Codebook[i][j];
}
Perturb(inCodebookData, scale, newCodebookData);
for ( unsigned int j = 0; j < m_VectorDimension; j++ )
{
m_Codebook[i + currentSize][j] = newCodebookData[j];
}
}
delete[] inCodebookData;
delete[] newCodebookData;
} // End splitcodewords
//-----------------------------------------------------------------
template< typename TInputImage,
typename TMembershipFunction >
void
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::Perturb(double *oldCodeword,
int scale,
double *newCodeword)
{
unsigned int i;
double addoffset;
double muloffset;
double rand_num;
addoffset = m_OffsetAdd / std::pow(2.0, (double)scale);
muloffset = m_OffsetMultiply / std::pow(2.0, (double)scale);
for ( i = 0; i < m_VectorDimension; i++ )
{
srand( (unsigned)time(ITK_NULLPTR) );
rand_num = ( rand() ) / ( (double)RAND_MAX );
if ( oldCodeword[i] == 0.0 )
{
newCodeword[i] = addoffset * rand_num;
}
else if ( std::fabs(oldCodeword[i]) < 0.9 * addoffset )
{
newCodeword[i] = oldCodeword[i];
if ( oldCodeword[i] < 0 )
{
newCodeword[i] -= addoffset * rand_num;
}
else
{
newCodeword[i] += addoffset * rand_num;
}
}
else
{
newCodeword[i] = oldCodeword[i] + muloffset * oldCodeword[i] * rand_num;
}
} // End looping through the vector
} // End perturb
//-----------------------------------------------------------------
template< typename TInputImage,
typename TMembershipFunction >
int
ImageKmeansModelEstimator< TInputImage, TMembershipFunction >
::WithoutCodebookUseLBG()
{
//itkDebugMacro(<<"Start local function lbg design()");
unsigned int tmp_ncodewords, j;
// do the LBG algorithm
// iterations begins here
// start with one word codebook
// set initial distortion
m_OutputDistortion = m_DoubleMaximum;
// Apply the generalized Lloyd algorithm on all codebook sizes
for ( tmp_ncodewords = 1; tmp_ncodewords < m_NumberOfCodewords; )
{
// run the GLA for codebook of size i
// run gla
WithCodebookUseGLA();
// if empty cells, do not continue
// if distortion is zero, no need to continue.
if ( m_OutputNumberOfEmptyCells > 0 || m_OutputDistortion == 0.0 ) { break; }
// find the number of new codewords to be made (j-tmp_ncodewords)
j = 2 * tmp_ncodewords;
if ( j > m_NumberOfCodewords ) { j = m_NumberOfCodewords; }
// split the codewords
// increase size of codebook
const SizeValueType oldSize = m_Codebook.rows();
Reallocate(oldSize, j);
// initialize the new codewords
SplitCodewords(tmp_ncodewords, ( j - tmp_ncodewords ), (int)0);
// if error, do not continue
// increment the codebook size
tmp_ncodewords = j;
}
// if there are no errors, no empty cells and the distortion is positive,
// create the final codebook
if ( m_OutputNumberOfEmptyCells == 0 && m_OutputDistortion > 0.0 )
{
// run gla
WithCodebookUseGLA();
}
// done with all iterations
const SizeValueType codebookSize = m_Codebook.rows();
if ( m_NumberOfCodewords != codebookSize )
{
itkDebugMacro(<< "Returning fewer codewords than requested");
} // end if
//itkDebugMacro(<<"Done with local function LBG ()");
return LBG_COMPLETED;
} // End WithoutCodebookUseLBG()
} // namespace itk
#endif
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