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/*=========================================================================
Program: Insight Segmentation & Registration Toolkit
Module: $RCSfile: itkCumulativeGaussianCostFunction.cxx,v $
Language: C++
Date: $Date: 2009-04-05 10:56:48 $
Version: $Revision: 1.15 $
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 _itkCumulativeGaussianCostFunction_cxx
#define _itkCumulativeGaussianCostFunction_cxx
#include "itkCumulativeGaussianCostFunction.h"
#include "assert.h"
namespace itk
{
CumulativeGaussianCostFunction
::CumulativeGaussianCostFunction()
{
// Initial values for fit error and range dimension.
m_RangeDimension = 0;
m_OriginalDataArray = new MeasureType();
m_MeasurePointer = new MeasureType();
}
CumulativeGaussianCostFunction
::~CumulativeGaussianCostFunction()
{
delete m_OriginalDataArray;
delete m_MeasurePointer;
}
void
CumulativeGaussianCostFunction
::SetOriginalDataArray(MeasureType * setOriginalDataArray)
{
// Set the original data array.
m_OriginalDataArray->SetSize(m_RangeDimension);
for(int i = 0; i < (int)(setOriginalDataArray->GetNumberOfElements()); i++)
{
m_OriginalDataArray->put(i, setOriginalDataArray->get(i));
}
}
double
CumulativeGaussianCostFunction
::CalculateFitError(MeasureType * setTestArray)
{
// Use root mean square error as a measure of fit quality.
unsigned int numberOfElements = m_OriginalDataArray->GetNumberOfElements();
if(numberOfElements != setTestArray->GetNumberOfElements())
{
return 1;
}
double fitError = 0.0;
for(int i = 0; i < (int)(numberOfElements); i++)
{
fitError += vcl_pow((setTestArray->get(i) - m_OriginalDataArray->get(i)), 2);
}
return(vcl_sqrt((1/numberOfElements) * fitError));
}
double
CumulativeGaussianCostFunction
::EvaluateCumulativeGaussian(double argument) const
{
// Evaluate the Cumulative Gaussian for a given argument.
double erfValue;
// Tabulated error function evaluated for 0 to 299.
double y[300] =
{
0, .011283416, .022564575, .033841222, .045111106, .056371978, .067621594, .07885772, .090078126, .101280594,
.112462916, .123622896, .134758352, .145867115, .156947033, .167995971, .179011813, .189992461, .200935839, .211839892,
.222702589, .233521923, .244295911, .255022599, .265700058, .276326389, .286899723, .297418219, .307880068, .318283496,
.328626759, .33890815, .349125995, .359278655, .369364529, .379382053, .3893297, .399205983, .409009452, .418738698,
.428392352, .43796909, .447467618, .456886694, .466225115, .475481719, .484655389, .49374505, .50274967, .51166826,
.520499876, .529243617, .537898627, .546464093, .554939245, .563323359, .571615763, .579815806, .5879229, .595936496,
.60385609, .611681217, .61941146, .627046441, .634585826, .642029324, .649376683, .656627696, .663782195, .670840052,
.677801193, .684665264, .691432825, .698103704, .704677825, .71115543, .717536534, .723821437, .730010238, .73610324,
.74210079, .748003138, .75381059, .759523625, .76514256, .770667933, .776100122, .781439725, .786687219, .791843127,
.796908113, .801882743, .80676762, .811563474, .816270948, .820890718, .825423575, .82987023, .834231422, .838508001,
.842700735, .846810448, .850837952, .854784156, .8586499, .862436067, .866143531, .86977325, .873326119, .876803068,
.880205041, .88353297, .886787854, .88997064, .893082302, .896123821, .899096169, .90200037, .904837402, .907608265,
.91031396, .912955492, .915533856, .918050082, .920505165, .922900112, .925235928, .927513617, .929734183, .931898615,
.934007929, .936063109, .938065143, .940015016, .941913707, .943762189, .94556143, .947312386, .949016025, .950673287,
.952285112, .953852432, .955376173, .956857248, .958296565, .959695022, .961053506, .962372893, .963654059, .964897859,
.966105142, .967276744, .968413493, .969516206, .970585687, .971622731, .97262812, .973602626, .974547008, .975462012,
.97634838, .977206834, .978038086, .978842837, .979621778, .980375583, .98110492, .98181044, .982492786, .983152586,
.983790458, .984407007, .985002827, .985578499, .986134593, .98667167, .987190274, .987690941, .988174195, .988640548,
.989090501, .989524544, .989943156, .990346805, .990735947, .99111103, .991472488, .991820747, .992156222, .992479318,
.992790429, .99308994, .993378225, .99365565, .99392257, .994179333, .994426275, .994663724, .994892, .995111413,
.995322265, .995524849, .995719451, .995906348, .996085809, .996258096, .996423462, .996582153, .996734409, .99688046,
.997020533, .997154845, .997283607, .997407023, .997525293, .997638607, .997747152, .997851108, .997950649, .998045943,
.998137154, .998224438, .998307948, .998387832, .998464231, .998537283, .998607121, .998673872, .998737661, .998798606,
.998856823, .998912423, .998965513, .999016195, .99906457, .999110733, .999154777, .99919679, .999236858, .999275064,
.999311486, .999346202, .999379283, .999410802, .999440826, .99946942, .999496646, .999522566, .999547236, .999570712,
.999593048, .999614295, .999634501, .999653714, .999671979, .99968934, .999705837, .999721511, .9997364, .999750539,
.999763966, .999776711, .999788809, .999800289, .999811181, .999821512, .999831311, .999840601, .999849409, .999857757,
.999865667, .999873162, .999880261, .999886985, .999893351, .999899378, .999905082, .99991048, .999915587, .999920418,
.999924987, .999929307, .99993339, .99993725, .999940898, .999944344, .999947599, .999950673, .999953576, .999956316,
.999958902, .999961343, .999963645, .999965817, .999967866, .999969797, .999971618, .999973334, .999974951, .999976474
};
// Out of bounds of the table, but it's close to 1 or -1.
if(argument < -3 || argument > 3)
{
if(argument > 0)
{
erfValue = 1;
}
else
{
erfValue = -1;
}
}
// Interpolation between table lookup entries.
else
{
if(argument > 0)
{
int temp = (int)(argument * 100);
if(argument == (int)temp)
{
erfValue = .999976474;
}
else
{
double slope = (y[temp + 1] - y[temp])/(((float)temp + 1)/100 - ((float)temp/100));
erfValue = slope * (argument - ((float)temp + 1)/100) + y[temp+1];
}
}
else
{
int temp = -(int)(argument * 100);
double slope = (-y[temp + 1] + y[temp])/(-((float)temp + 1)/100 + ((float)temp/100));
erfValue = (slope * (argument + ((float)temp + 1)/100) - y[temp+1]);
}
}
return erfValue;
}
CumulativeGaussianCostFunction::MeasureType
CumulativeGaussianCostFunction
::GetValue( const ParametersType & parameters ) const
{
for(unsigned int i = 0; i < m_RangeDimension; i++)
m_Measure[i] = parameters.get(2) + ((parameters.get(3)-parameters.get(2))*(EvaluateCumulativeGaussian((i-parameters.get(0))/(parameters.get(1)*vcl_sqrt(2.0)))+1)/2);
return m_Measure;
}
CumulativeGaussianCostFunction::MeasureType *
CumulativeGaussianCostFunction
::GetValue( ParametersType & parameters )
{
m_MeasurePointer->SetSize(m_RangeDimension);
for(unsigned int i = 0; i < m_RangeDimension; i++)
m_MeasurePointer->put(i, parameters.get(2) + ((parameters.get(3)-parameters.get(2))*(EvaluateCumulativeGaussian((i-parameters.get(0))/(parameters.get(1)*vcl_sqrt(2.0)))+1)/2));
return m_MeasurePointer;
}
unsigned int
CumulativeGaussianCostFunction
::GetNumberOfParameters() const
{
// Return the number of parameters.
return SpaceDimension;
}
unsigned int
CumulativeGaussianCostFunction
::GetNumberOfValues() const
{
// Return the number of data samples.
return m_RangeDimension;
}
void
CumulativeGaussianCostFunction
::Initialize(unsigned int rangeDimension)
{
// Initialize the arrays.
m_RangeDimension = rangeDimension;
m_Measure.SetSize(m_RangeDimension);
}
void
CumulativeGaussianCostFunction
::PrintSelf(std::ostream &os, Indent indent) const
{
Superclass::PrintSelf(os,indent);
os << indent << "Range Dimension = " << m_RangeDimension
<< std::endl;
}
} // end namespace itk
#endif
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