/usr/include/ITK-4.5/itkQuadEdgeMeshDecimationQuadricElementHelper.h is in libinsighttoolkit4-dev 4.5.0-3.
This file is owned by root:root, with mode 0o644.
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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 __itkQuadEdgeMeshDecimationQuadricElementHelper_h
#define __itkQuadEdgeMeshDecimationQuadricElementHelper_h
#include "itkPoint.h"
#include "vnl/vnl_vector_fixed.h"
#include "vnl/vnl_matrix.h"
#include "vnl/algo/vnl_matrix_inverse.h"
#include "itkTriangleHelper.h"
namespace itk
{
///TODO explicit specification for VDimension=3!!!
template< typename TPoint >
class QuadEdgeMeshDecimationQuadricElementHelper
{
public:
typedef QuadEdgeMeshDecimationQuadricElementHelper Self;
typedef TPoint PointType;
typedef typename PointType::CoordRepType CoordType;
itkStaticConstMacro(PointDimension, unsigned int, PointType::PointDimension);
itkStaticConstMacro(NumberOfCoefficients, unsigned int,
PointDimension * ( PointDimension + 1 ) / 2 + PointDimension + 1);
typedef typename PointType::VectorType VectorType;
typedef vnl_matrix< CoordType > VNLMatrixType;
typedef vnl_vector_fixed< CoordType,
itkGetStaticConstMacro(PointDimension) > VNLVectorType;
typedef vnl_vector_fixed< CoordType,
itkGetStaticConstMacro(NumberOfCoefficients) > CoefficientVectorType;
typedef TriangleHelper< PointType > TriangleType;
// *****************************************************************
QuadEdgeMeshDecimationQuadricElementHelper():
m_Coefficients(itk::NumericTraits< CoordType >::Zero),
m_A(PointDimension, PointDimension, itk::NumericTraits< CoordType >::Zero),
m_B(itk::NumericTraits< CoordType >::Zero),
m_SVDAbsoluteThreshold( static_cast< CoordType >( 1e-6 ) ),
m_SVDRelativeThreshold( static_cast< CoordType >( 1e-3 ) )
{
this->m_Rank = PointDimension;
}
QuadEdgeMeshDecimationQuadricElementHelper(const CoefficientVectorType & iCoefficients):
m_Coefficients(iCoefficients),
m_A(PointDimension, PointDimension, itk::NumericTraits< CoordType >::Zero),
m_B(itk::NumericTraits< CoordType >::Zero),
m_SVDAbsoluteThreshold( static_cast< CoordType >( 1e-3 ) ),
m_SVDRelativeThreshold( static_cast< CoordType >( 1e-3 ) )
{
this->m_Rank = PointDimension;
this->ComputeAMatrixAndBVector();
}
~QuadEdgeMeshDecimationQuadricElementHelper()
{}
CoefficientVectorType GetCoefficients() const
{
return this->m_Coefficients;
}
VNLMatrixType GetAMatrix()
{
this->ComputeAMatrixAndBVector();
return m_A;
}
VNLVectorType GetBVector()
{
ComputeAMatrixAndBVector();
return m_B;
}
unsigned int GetRank() const
{
return m_Rank;
}
///TODO this method should be really optimized!!!
inline CoordType ComputeError(const PointType & iP) const
{
// ComputeAMatrixAndBVector();
vnl_svd< CoordType > svd(m_A, m_SVDAbsoluteThreshold);
svd.zero_out_relative(m_SVDRelativeThreshold);
CoordType oError = inner_product( iP.GetVnlVector(), svd.recompose() * iP.GetVnlVector() );
return this->m_Coefficients[this->m_Coefficients.size() - 1] - oError;
/*
CoordType oError( 0. );
std::vector< CoordType > pt( PointDimension + 1, 1. );
unsigned int dim1( 0 ), dim2, k( 0 );
while( dim1 < PointDimension )
{
pt[dim1] = iP[dim1];
++dim1;
}
for( dim1 = 0; dim1 < PointDimension + 1; ++dim1 )
{
oError += this->m_Coefficients[k++] * pt[dim1] * pt[dim1];
for( dim2 = dim1 + 1; dim2 < PointDimension + 1; ++dim2 )
{
oError += 2. * this->m_Coefficients[k++] * pt[dim1] * pt[dim2];
}
}
oError += this->m_Coefficients[k++];
return oError;*/
}
///TODO this method should be really optimized!!!
inline CoordType ComputeErrorAtOptimalLocation(const PointType & iP)
{
PointType optimal_location = ComputeOptimalLocation(iP);
return ComputeError(optimal_location);
}
PointType ComputeOptimalLocation(const PointType & iP)
{
ComputeAMatrixAndBVector();
vnl_svd< CoordType > svd(m_A, m_SVDAbsoluteThreshold);
svd.zero_out_relative(m_SVDRelativeThreshold);
m_Rank = svd.rank();
VNLVectorType y = m_B.as_vector() - m_A *iP.GetVnlVector();
VNLVectorType displacement = svd.solve(y);
PointType oP;
for ( unsigned int dim = 0; dim < PointDimension; dim++ )
{
oP[dim] = iP[dim] + displacement[dim];
}
return oP;
}
///TODO to be implemented!!!
PointType ComputeOptimalLocation(
const unsigned int & )
{}
void AddTriangle( const PointType & iP1,
const PointType & iP2,
const PointType & iP3,
const CoordType & iWeight = static_cast< CoordType >( 1. ) )
{
VectorType N = TriangleType::ComputeNormal(iP1, iP2, iP3);
AddPoint(iP1, N, iWeight);
}
void AddPoint( const PointType & iP,
const VectorType & iN,
const CoordType & iWeight = static_cast< CoordType >( 1. ) )
{
unsigned int k(0), dim1, dim2;
CoordType d = -iN *iP.GetVectorFromOrigin();
for ( dim1 = 0; dim1 < PointDimension; ++dim1 )
{
for ( dim2 = dim1; dim2 < PointDimension; ++dim2 )
{
this->m_Coefficients[k++] += iWeight * iN[dim1] * iN[dim2];
}
this->m_Coefficients[k++] += iWeight * iN[dim1] * d;
}
this->m_Coefficients[k++] += iWeight * d * d;
}
// ***********************************************************************
// operators
Self & operator=(const Self & iRight)
{
if(this != &iRight)
{
this->m_Coefficients = iRight.m_Coefficients;
}
return *this;
}
Self operator+(const Self & iRight) const
{
return Self(this->m_Coefficients + iRight.m_Coefficients);
}
Self & operator+=(const Self & iRight)
{
this->m_Coefficients += iRight.m_Coefficients;
return *this;
}
Self operator-(const Self & iRight) const
{
return Self(this->m_Coefficients - iRight.m_Coefficients);
}
Self & operator-=(const Self & iRight)
{
this->m_Coefficients -= iRight.m_Coefficients;
return *this;
}
Self operator*(const CoordType & iV) const
{
Self oElement = Self(this->m_Coefficients * iV);
return oElement;
}
Self & operator*=(const CoordType & iV)
{
this->m_Coefficients *= iV;
return *this;
}
protected:
CoefficientVectorType m_Coefficients;
VNLMatrixType m_A;
VNLVectorType m_B;
unsigned int m_Rank;
CoordType m_SVDAbsoluteThreshold;
CoordType m_SVDRelativeThreshold;
//bool m_MatrixFilled;
void ComputeAMatrixAndBVector()
{
unsigned int k(0), dim1, dim2;
for ( dim1 = 0; dim1 < PointDimension; ++dim1 )
{
for ( dim2 = dim1; dim2 < PointDimension; ++dim2 )
{
m_A[dim1][dim2] = m_A[dim2][dim1] = m_Coefficients[k++];
}
m_B[dim1] = -m_Coefficients[k++];
}
//m_MatrixFilled = true;
}
};
}
#endif
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