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/*=========================================================================
Program: Insight Segmentation & Registration Toolkit
Module: $RCSfile: itkSymmetricEllipsoidInteriorExteriorSpatialFunction.txx,v $
Language: C++
Date: $Date: 2006-03-19 04:36:59 $
Version: $Revision: 1.17 $
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 __itkSymmetricEllipsoidInteriorExteriorSpatialFunction_cpp
#define __itkSymmetricEllipsoidInteriorExteriorSpatialFunction_cpp
#include "itkSymmetricEllipsoidInteriorExteriorSpatialFunction.h"
#include <math.h>
namespace itk
{
template <unsigned int VDimension, typename TInput>
SymmetricEllipsoidInteriorExteriorSpatialFunction<VDimension,TInput>
::SymmetricEllipsoidInteriorExteriorSpatialFunction()
{
m_Center.Fill(0.0); // Origin of ellipsoid
m_Orientation.Fill(1.0); // Orientation of unique axis
m_UniqueAxis = 10; // Length of unique axis
m_SymmetricAxes = 5; // Length of symmetric axes
}
template <unsigned int VDimension, typename TInput>
SymmetricEllipsoidInteriorExteriorSpatialFunction<VDimension,TInput>
::~SymmetricEllipsoidInteriorExteriorSpatialFunction()
{
}
template <unsigned int VDimension,typename TInput>
typename SymmetricEllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>::OutputType
SymmetricEllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>
::Evaluate(const InputType& position) const
{
double uniqueTerm; // Term in ellipsoid equation for unique axis
double symmetricTerm; // Term in ellipsoid equation for symmetric axes
Vector<double, VDimension> pointVector;
Vector<double, VDimension> symmetricVector;
// Project the position onto the major axis, normalize by axis length,
// and determine whether position is inside ellipsoid.
for(unsigned int i = 0; i < VDimension; i++)
{
pointVector[i] = position[i] - m_Center[i];
}
uniqueTerm = vcl_pow(static_cast<double>(((pointVector * m_Orientation)/(.5*m_UniqueAxis))),static_cast<double>(2));
symmetricVector = pointVector - (m_Orientation * (pointVector * m_Orientation));
symmetricTerm = vcl_pow(static_cast<double>(((symmetricVector.GetNorm())/(.5*m_SymmetricAxes))),static_cast<double>(2));
if((uniqueTerm + symmetricTerm) >= 0 && (uniqueTerm + symmetricTerm) <= 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 SymmetricEllipsoidInteriorExteriorSpatialFunction<VDimension,TInput>
::PrintSelf(std::ostream& os, Indent indent) const
{
Superclass::PrintSelf(os, indent);
os << indent << "Origin of Ellipsoid: ";
os << m_Center << std::endl;
os << indent << "Unique Axis Orientation: ";
os << m_Orientation << std::endl;
os << indent << "Unique Axis Length: ";
os << m_UniqueAxis << std::endl;
os << indent << "Symmetric Axis Length: ";
os << m_SymmetricAxes << std::endl;
}
template <unsigned int VDimension,typename TInput>
void SymmetricEllipsoidInteriorExteriorSpatialFunction<VDimension, TInput>
::SetOrientation(VectorType orientation, double uniqueAxis, double symmetricAxes)
{
m_Orientation = orientation; // Orientation of unique axis of ellipsoid
m_SymmetricAxes = symmetricAxes; // Length of symmetric axes
m_UniqueAxis = uniqueAxis; // Length of unique axis
}
} // end namespace itk
#endif
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