itkhistogram.txx

InsightToolkit-1.4.0(有大量的优化算法程序)

/*=========================================================================

  Program:   Insight Segmentation & Registration Toolkit
  Module:    $RCSfile: itkHistogram.txx,v $
  Language:  C++
  Date:      $Date: 2003/09/10 14:29:45 $
  Version:   $Revision: 1.24 $

  Copyright (c) Insight Software Consortium. All rights reserved.
  See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.

     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.

=========================================================================*/
#ifndef _itkHistogram_txx
#define _itkHistogram_txx

#include "itkHistogram.h"
#include "itkNumericTraits.h"

namespace itk{ 
namespace Statistics{

template< class TMeasurement, unsigned int VMeasurementVectorSize,
          class TFrequencyContainer>
Histogram<TMeasurement, VMeasurementVectorSize, TFrequencyContainer>
::Histogram()
{
  m_FrequencyContainer = FrequencyContainerType::New() ;
  for (unsigned int i = 0 ; i < (MeasurementVectorSize + 1) ; ++i )
    {
    m_OffsetTable[i] = 0 ;
    } 
}

template< class TMeasurement, unsigned int VMeasurementVectorSize,
          class TFrequencyContainer>
unsigned int
Histogram<TMeasurement, VMeasurementVectorSize, TFrequencyContainer>
::Size() const
{
  unsigned int size = 1 ;
  for (unsigned int i = 0 ; i < MeasurementVectorSize ; i++)
    {
    size *= m_Size[i] ;
    }
  return size ;
}

template< class TMeasurement, unsigned int VMeasurementVectorSize,
          class TFrequencyContainer>
void
Histogram<TMeasurement, VMeasurementVectorSize, TFrequencyContainer>
::Initialize(const SizeType &size)
{
  m_Size = size ;
  
  // creates offset table which will be used for generation of
  // instance identifiers.
  InstanceIdentifier num = 1 ;
  
  m_OffsetTable[0] = num ;
  for (unsigned int i = 0 ; i < MeasurementVectorSize ; i++)
    {
    num *= m_Size[i] ;
    m_OffsetTable[i + 1] = num ;
    }

  m_NumberOfInstances = num ;

  // adjust the sizes of min max value containers 
  unsigned int dim;
  m_Min.resize(MeasurementVectorSize);
  for ( dim = 0; dim < MeasurementVectorSize; dim++)
    {
    m_Min[dim].resize(m_Size[dim]);
    } 

  m_Max.resize(MeasurementVectorSize);
  for ( dim = 0; dim < MeasurementVectorSize; dim++)
    {
    m_Max[dim].resize(m_Size[dim]);
    } 

  // initialize the frequency container
  m_FrequencyContainer->Initialize(m_OffsetTable[VMeasurementVectorSize]) ;
  this->SetFrequency(0.0f) ;
}

template< class TMeasurement, unsigned int VMeasurementVectorSize,
          class TFrequencyContainer>
void 
Histogram<TMeasurement, VMeasurementVectorSize, TFrequencyContainer>
::Initialize(const SizeType &size, MeasurementVectorType& lowerBound,
             MeasurementVectorType& upperBound)
{
  this->Initialize(size) ;

  float interval ;
  for ( unsigned int i = 0 ; i < MeasurementVectorSize ; i++)
    {
    interval = (float) (upperBound[i] - lowerBound[i]) / 
      static_cast< MeasurementType >(size[i]) ;
    // Set the min vector and max vector
    for (unsigned int j = 0; j < (size[i] - 1) ; j++)
      {
      this->SetBinMin(i, j, lowerBound[i] +  ((float)j * interval)) ;
      this->SetBinMax(i, j, lowerBound[i] +  (((float)j + 1) * interval));
      }
    this->SetBinMin(i, size[i] - 1, 
                    lowerBound[i] + (((float) size[i] - 1) * interval)) ;
    this->SetBinMax(i, size[i] - 1, 
                    upperBound[i]) ;
    }
}

template< class TMeasurement, unsigned int VMeasurementVectorSize, 
          class TFrequencyContainer>
inline typename Histogram<TMeasurement, VMeasurementVectorSize, TFrequencyContainer>::IndexType&
Histogram<TMeasurement, VMeasurementVectorSize, TFrequencyContainer>
::GetIndex(const MeasurementVectorType& measurement)
{
  // now using somthing similar to binary search to find
  // index.
  unsigned int dim ;
  
  int begin, mid, end ;
  MeasurementType median ;
  MeasurementType tempMeasurement ;

  for (dim = 0 ; dim < MeasurementVectorSize ; dim++)
    {
    tempMeasurement = measurement[dim] ;
    begin = 0 ;
    if (tempMeasurement < m_Min[dim][begin])
      {
      // one of measurement is below the minimum
      m_TempIndex[0] = (long) m_Size[0] ;
      return m_TempIndex ;
      }

    end = m_Min[dim].size() - 1 ;
    if (tempMeasurement >= m_Max[dim][end])
      {
      // one of measurement is above the maximum
      m_TempIndex[0] = (long) m_Size[0] ;
      return m_TempIndex ;
      }

    mid = (end + 1) / 2 ;
    median = m_Min[dim][mid] ;
    while(true)
      {
      if (tempMeasurement < median )
        {
        end = mid - 1 ;
        } 
      else if (tempMeasurement > median)
        {
        if (tempMeasurement < m_Max[dim][mid])
          {
          m_TempIndex[dim] = mid ;
          break ;
          }
              
        begin = mid + 1 ;
        }
      else
        {
        // measurement[dim] = m_Min[dim][med] 
        m_TempIndex[dim] = mid ;
        break ;
        }
      mid = begin + (end - begin) / 2 ;
      median = m_Min[dim][mid] ;
      } // end of while
    } // end of for()
  return m_TempIndex;
}

template< class TMeasurement, unsigned int VMeasurementVectorSize,
          class TFrequencyContainer>
inline typename Histogram<TMeasurement, VMeasurementVectorSize, TFrequencyContainer>::IndexType&
Histogram<TMeasurement, VMeasurementVectorSize, TFrequencyContainer>
::GetIndex(const InstanceIdentifier &id) 
{
  InstanceIdentifier id2 = id ;

  for (int i = MeasurementVectorSize - 1 ; i > 0 ; i--)
    {
    m_TempIndex[i] = static_cast<IndexValueType>(id2 / m_OffsetTable[i]);
    id2 -= (m_TempIndex[i] * m_OffsetTable[i]);
    }
  m_TempIndex[0] = static_cast<IndexValueType>(id2);
  
  return m_TempIndex;
}

template< class TMeasurement, unsigned int VMeasurementVectorSize,
          class TFrequencyContainer >
inline bool
Histogram<TMeasurement, VMeasurementVectorSize, TFrequencyContainer>
::IsIndexOutOfBounds(const IndexType &index) const
{
  for (unsigned int dim = 0 ; dim < MeasurementVectorSize ; dim++)
    {
    if (index[dim] < 0 || index[dim] >= static_cast<IndexValueType>(m_Size[dim]))
      {
      return true ;
      }
    }
  return false ;
}

template< class TMeasurement, unsigned int VMeasurementVectorSize,
          class TFrequencyContainer >
inline typename Histogram<TMeasurement, VMeasurementVectorSize,
                          TFrequencyContainer>::InstanceIdentifier
Histogram<TMeasurement, VMeasurementVectorSize, TFrequencyContainer>
::GetInstanceIdentifier(const IndexType &index) const
{
  InstanceIdentifier id = 0 ;
  for (int i= MeasurementVectorSize - 1 ; i > 0 ; i-- )
    {
    id += index[i] * m_OffsetTable[i];
    }
  
  id += index[0] ;
  
  return id ;
}


template< class TMeasurement, unsigned int VMeasurementVectorSize,
          class TFrequencyContainer >
inline typename Histogram<TMeasurement, VMeasurementVectorSize, 
                          TFrequencyContainer>::MeasurementType&
Histogram<TMeasurement, VMeasurementVectorSize, TFrequencyContainer>
::GetBinMinFromValue(const unsigned int dimension, const float value ) const
{
  // If the value is lower than any of min value in the Histogram,
  // it returns the lowest min value
  if ( value <= this->m_Min[dimension][0] )
    {
    return this->m_Min[dimension][0];
    }

  // If the value is higher than any of min value in the Histogram,
  // it returns the highest min value
  if ( value >= m_Min[dimension][m_Size[dimension]-1] )
    {
    return m_Min[dimension][this->m_Size[dimension]-1];
    }

  for ( int i=0; i < this->m_Size[dimension]; i++ )
    {
    if (  (value >= this->m_Min[dimension][i])
          && (value <  this->m_Max[dimension][i])  )
      {
      return this->m_Min[dimension][i];
      }
    }
}

template< class TMeasurement, unsigned int VMeasurementVectorSize, 
          class TFrequencyContainer >
inline typename Histogram< TMeasurement, VMeasurementVectorSize, 
                           TFrequencyContainer >::MeasurementType&
Histogram< TMeasurement, VMeasurementVectorSize, TFrequencyContainer >
::GetBinMaxFromValue(const unsigned int dimension, const float value ) const
{
  // If the value is lower than any of max value in the Histogram,
  // it returns the lowest max value
  if ( value <= this->m_Max[dimension][0] )
    {
    return this->m_Max[dimension][0];
    }

  // If the value is higher than any of max value in the Histogram,
  // it returns the highest max value
  if ( value >= m_Max[dimension][m_Size[dimension]-1] )
    {
    return m_Max[dimension][this->m_Size[dimension]-1];