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/*=========================================================================
Program: Insight Segmentation & Registration Toolkit
Module: $RCSfile: itkEllipsoidInteriorExteriorSpatialFunction.txx,v $
Language: C++
Date: $Date: 2006-03-19 04:36:58 $
Version: $Revision: 1.26 $
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 __itkEllipsoidInteriorExteriorSpatialFunction_txx
#define __itkEllipsoidInteriorExteriorSpatialFunction_txx
#include "itkEllipsoidInteriorExteriorSpatialFunction.h"
#include <math.h>
namespace itk
{
template <unsigned int VDimension, typename TInput>
EllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>
::EllipsoidInteriorExteriorSpatialFunction()
{
m_Orientations = NULL;
m_Axes.Fill(1.0); // Lengths of ellipsoid axes.
m_Center.Fill(0.0); // Origin of ellipsoid
}
template <unsigned int VDimension, typename TInput >
EllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>
::~EllipsoidInteriorExteriorSpatialFunction()
{
unsigned int i;
if (m_Orientations)
{
for(i = 0; i < VDimension; i++)
{
delete []m_Orientations[i];
}
delete []m_Orientations;
}
}
template <unsigned int VDimension, typename TInput>
typename EllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>::OutputType
EllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>
::Evaluate(const InputType& position) const
{
double distanceSquared = 0;
Vector<double, VDimension> orientationVector;
Vector<double, VDimension> pointVector;
// Project the position onto each of the axes, normalize by axis length,
// and determine whether position is inside ellipsoid. The length of axis0,
// m_Axis[0] is orientated in the direction of m_Orientations[0].
for(unsigned int i = 0; i < VDimension; i++)
{
pointVector[i] = position[i] - m_Center[i];
}
for(unsigned int i = 0; i < VDimension; i++)
{
for(unsigned int j = 0; j < VDimension; j++)
{
orientationVector[j] = m_Orientations[i][j];
}
distanceSquared += vcl_pow(static_cast<double>((orientationVector * pointVector)/(.5*m_Axes[i])),static_cast<double>(2));
}
if(distanceSquared <= 1)
{
return 1; // Inside the ellipsoid.
}
//Default return value assumes outside the ellipsoid
return 0; // Outside the ellipsoid.
}
template <unsigned int VDimension, typename TInput>
void EllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>
::SetOrientations(const OrientationType &orientations)
{
unsigned int i, j;
// Initialize orientation vectors.
if (m_Orientations)
{
for(i = 0; i < VDimension; i++)
{
delete []m_Orientations[i];
}
delete []m_Orientations;
}
m_Orientations = new double * [VDimension];
for(i = 0; i < VDimension; i++)
{
m_Orientations[i] = new double[VDimension];
}
// Set orientation vectors (must be orthogonal).
for(i = 0; i < VDimension; i++)
{
for(j = 0; j < VDimension; j++)
{
m_Orientations[i][j] = orientations[i][j];
}
}
}
template <unsigned int VDimension, typename TInput>
void EllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>
::PrintSelf(std::ostream& os, Indent indent) const
{
unsigned int i, j;
Superclass::PrintSelf(os, indent);
os << indent << "Lengths of Ellipsoid Axes: " << m_Axes << std::endl;
os << indent << "Origin of Ellipsoid: " << m_Center << std::endl;
if (m_Orientations)
{
os << indent << "Orientations: " << std::endl;
for (i = 0; i < VDimension; i++)
{
for (j = 0; j < VDimension; j++)
{
os << indent << indent << m_Orientations[i][j] << " ";
}
os << std::endl;
}
}
}
} // end namespace itk
#endif
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