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/*=========================================================================
*
* Copyright NumFOCUS
*
* 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
*
* https://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 itkParameterizationQuadEdgeMeshFilter_hxx
#define itkParameterizationQuadEdgeMeshFilter_hxx
namespace itk
{
// ---------------------------------------------------------------------
template <typename TInputMesh, typename TOutputMesh, typename TSolverTraits>
ParameterizationQuadEdgeMeshFilter<TInputMesh, TOutputMesh, TSolverTraits>::ParameterizationQuadEdgeMeshFilter()
{
this->m_CoefficientsMethod = nullptr;
this->m_BorderTransform = nullptr;
}
// ---------------------------------------------------------------------
template <typename TInputMesh, typename TOutputMesh, typename TSolverTraits>
void
ParameterizationQuadEdgeMeshFilter<TInputMesh, TOutputMesh, TSolverTraits>::CopyToOutputBorder()
{
OutputMeshType * output = this->GetOutput();
for (auto it = m_BoundaryPtMap.begin(); it != m_BoundaryPtMap.end(); ++it)
{
output->SetPoint(it->first, m_Border[it->second]);
}
}
// ---------------------------------------------------------------------
template <typename TInputMesh, typename TOutputMesh, typename TSolverTraits>
void
ParameterizationQuadEdgeMeshFilter<TInputMesh, TOutputMesh, TSolverTraits>::ComputeListOfInteriorVertices()
{
InputMeshConstPointer input = this->GetInput();
typename InputPointsContainer::ConstPointer points = input->GetPoints();
InputPointIdentifier k(0);
InputPointIdentifier id(0);
for (InputPointsContainerConstIterator it = points->Begin(); it != points->End(); ++it)
{
id = it->Index();
// if the id point is not in m_BoundaryPtMap
// add this id point to m_InternalPtMap
if (m_BoundaryPtMap.find(id) == m_BoundaryPtMap.end())
{
m_InternalPtMap[id] = k++;
}
}
}
// ---------------------------------------------------------------------
template <typename TInputMesh, typename TOutputMesh, typename TSolverTraits>
void
ParameterizationQuadEdgeMeshFilter<TInputMesh, TOutputMesh, TSolverTraits>::SolveLinearSystems(const MatrixType & iM,
const VectorType & iBx,
const VectorType & iBy,
VectorType & oX,
VectorType & oY)
{
SolverTraits::Solve(iM, iBx, iBy, oX, oY);
}
// ---------------------------------------------------------------------
template <typename TInputMesh, typename TOutputMesh, typename TSolverTraits>
void
ParameterizationQuadEdgeMeshFilter<TInputMesh, TOutputMesh, TSolverTraits>::FillMatrix(MatrixType & iM,
VectorType & ioBx,
VectorType & ioBy)
{
InputMeshConstPointer input = this->GetInput();
OutputMeshPointer output = this->GetOutput();
InputCoordRepType value;
InputMapPointIdentifierIterator it;
InputPointIdentifier id1, id2;
InputPointIdentifier InternalId1, InternalId2;
OutputPointType pt2;
ValueType k[2];
for (auto InternalPtIterator = m_InternalPtMap.begin(); InternalPtIterator != m_InternalPtMap.end();
++InternalPtIterator)
{
id1 = InternalPtIterator->first;
InternalId1 = InternalPtIterator->second;
k[0] = 0.;
k[1] = 0.;
InputQEType * edge = input->FindEdge(id1);
InputQEType * temp = edge;
do
{
id2 = temp->GetDestination();
it = m_BoundaryPtMap.find(id2);
if (it != m_BoundaryPtMap.end())
{
value = (*m_CoefficientsMethod)(input, temp);
pt2 = output->GetPoint(it->first);
SolverTraits::AddToMatrix(iM, InternalId1, InternalId1, value);
k[0] += static_cast<ValueType>(pt2[0] * value);
k[1] += static_cast<ValueType>(pt2[1] * value);
}
else
{
InternalId2 = m_InternalPtMap[id2];
if (InternalId1 < InternalId2)
{
value = (*m_CoefficientsMethod)(input, temp);
SolverTraits::FillMatrix(iM, InternalId1, InternalId2, -value);
SolverTraits::FillMatrix(iM, InternalId2, InternalId1, -value);
SolverTraits::AddToMatrix(iM, InternalId1, InternalId1, value);
SolverTraits::AddToMatrix(iM, InternalId2, InternalId2, value);
}
}
temp = temp->GetOnext();
} while (temp != edge);
ioBx[InternalId1] = k[0];
ioBy[InternalId1] = k[1];
}
}
// ---------------------------------------------------------------------
template <typename TInputMesh, typename TOutputMesh, typename TSolverTraits>
void
ParameterizationQuadEdgeMeshFilter<TInputMesh, TOutputMesh, TSolverTraits>::GenerateData()
{
this->CopyInputMeshToOutputMesh();
InputMeshConstPointer input = this->GetInput();
OutputMeshType * output = this->GetOutput();
if (m_BorderTransform.IsNotNull())
{
m_BorderTransform->Update();
m_Border = m_BorderTransform->GetBorder();
m_BoundaryPtMap = m_BorderTransform->GetBoundaryPtMap();
}
itkAssertOrThrowMacro(((m_BoundaryPtMap.size() > 2) && (m_Border.size() > 2)),
"BoundaryPtMap and Border must both have greater than 2 elements.");
this->CopyToOutputBorder();
this->ComputeListOfInteriorVertices();
auto NbOfInteriorPts = static_cast<InputPointIdentifier>(m_InternalPtMap.size());
MatrixType Matrix = SolverTraits::InitializeSparseMatrix(NbOfInteriorPts);
VectorType Bx = SolverTraits::InitializeVector(NbOfInteriorPts);
VectorType By = SolverTraits::InitializeVector(NbOfInteriorPts);
VectorType X = SolverTraits::InitializeVector(NbOfInteriorPts);
VectorType Y = SolverTraits::InitializeVector(NbOfInteriorPts);
FillMatrix(Matrix, Bx, By);
SolveLinearSystems(Matrix, Bx, By, X, Y);
OutputPointType OutputPt;
for (auto ptIterator = m_InternalPtMap.begin(); ptIterator != m_InternalPtMap.end(); ++ptIterator)
{
const auto id = static_cast<OutputPointIdentifier>(ptIterator->first);
const auto internalId = ptIterator->second;
OutputPt[0] = X[internalId];
OutputPt[1] = Y[internalId];
OutputPt[2] = 0.;
output->SetPoint(id, OutputPt);
}
}
template <typename TInputMesh, typename TOutputMesh, typename TSolverTraits>
void
ParameterizationQuadEdgeMeshFilter<TInputMesh, TOutputMesh, TSolverTraits>::PrintSelf(std::ostream & os,
Indent indent) const
{
Superclass::PrintSelf(os, indent);
os << indent << "BorderTransform: " << m_BorderTransform << std::endl;
os << indent << "CoefficientsMethod: " << m_CoefficientsMethod << std::endl;
}
} // end namespace itk
#endif
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