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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.
*
*=========================================================================*/
/*=========================================================================
*
* Portions of this file are subject to the VTK Toolkit Version 3 copyright.
*
* Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
*
* For complete copyright, license and disclaimer of warranty information
* please refer to the NOTICE file at the top of the ITK source tree.
*
*=========================================================================*/
#ifndef itkTriangleMeshCurvatureCalculator_hxx
#define itkTriangleMeshCurvatureCalculator_hxx
#include "itkMakeUniqueForOverwrite.h"
#include "itkObjectFactory.h"
#include "itkMath.h"
#include "vnl/vnl_cross.h"
#include "vnl/vnl_math.h"
namespace itk
{
template <typename TInputMesh>
void
TriangleMeshCurvatureCalculator<TInputMesh>::PrintSelf(std::ostream & os, Indent indent) const
{
this->Superclass::PrintSelf(os, indent);
os << indent << "CurvatureType: " << m_CurvatureType << std::endl;
itkPrintSelfObjectMacro(TriangleMesh);
itkPrintSelfObjectMacro(GaussCurvatureData);
}
template <typename TInputMesh>
void
TriangleMeshCurvatureCalculator<TInputMesh>::Compute()
{
const InputMeshType * inputMesh = this->m_TriangleMesh;
if (inputMesh == nullptr)
{
itkExceptionMacro("First set the Input Triangle Mesh to perform computation");
}
if (this->GetCurvatureType() == TriangleMeshCurvatureCalculatorEnums::Curvatures::GaussCurvature)
{
if (inputMesh->GetNumberOfCells())
{
this->ComputeGaussCurvature(inputMesh);
}
}
else
{
itkExceptionMacro("Only Gauss Curvature type available");
}
}
template <typename TInputMesh>
void
TriangleMeshCurvatureCalculator<TInputMesh>::ComputeGaussCurvature(const InputMeshType * inputMesh)
{
MeshPointType e0, e1, e2;
double A, alpha0, alpha1, alpha2;
const unsigned int numberOfPoints = inputMesh->GetNumberOfPoints();
const auto K = make_unique_for_overwrite<double[]>(numberOfPoints);
const auto dA = std::make_unique<double[]>(numberOfPoints);
double pi2 = itk::Math::twopi;
for (unsigned int k = 0; k < numberOfPoints; ++k)
{
K[k] = pi2;
}
CellsContainerConstPointer outCells = inputMesh->GetCells();
CellsContainerConstIterator cellsItr = outCells->Begin();
while (cellsItr != outCells->End())
{
CellType * cellPointer = cellsItr.Value();
auto * triangleCellPointer = dynamic_cast<TriangleCellType *>(cellPointer);
if (triangleCellPointer == nullptr)
{
itkExceptionMacro("Input Mesh is not a Triangle Mesh");
}
MeshPointIdConstIterator point_ids = triangleCellPointer->GetPointIds();
MeshPointType v0 = inputMesh->GetPoint(point_ids[0]);
MeshPointType v1 = inputMesh->GetPoint(point_ids[1]);
MeshPointType v2 = inputMesh->GetPoint(point_ids[2]);
// Edges
e0[0] = v1[0];
e0[1] = v1[1];
e0[2] = v1[2];
e0[0] -= v0[0];
e0[1] -= v0[1];
e0[2] -= v0[2];
e1[0] = v2[0];
e1[1] = v2[1];
e1[2] = v2[2];
e1[0] -= v1[0];
e1[1] -= v1[1];
e1[2] -= v1[2];
e2[0] = v0[0];
e2[1] = v0[1];
e2[2] = v0[2];
e2[0] -= v2[0];
e2[1] -= v2[1];
e2[2] -= v2[2];
alpha0 = itk::Math::pi - angle(e1.GetVnlVector(), e2.GetVnlVector());
alpha1 = itk::Math::pi - angle(e2.GetVnlVector(), e0.GetVnlVector());
alpha2 = itk::Math::pi - angle(e0.GetVnlVector(), e1.GetVnlVector());
// Surface area
A = static_cast<double>(
itk::Math::abs(vnl_cross_3d((v1 - v0).GetVnlVector(), (v2 - v0).GetVnlVector()).two_norm() / 2.0));
dA[point_ids[0]] += A;
dA[point_ids[1]] += A;
dA[point_ids[2]] += A;
K[point_ids[0]] -= alpha1;
K[point_ids[1]] -= alpha2;
K[point_ids[2]] -= alpha0;
++cellsItr;
}
// Allocate Memory to store the curvature output.
this->m_GaussCurvatureData = DoubleVectorContainer::New();
this->m_GaussCurvatureData->Reserve(numberOfPoints);
// Put curvature in gaussCurvatureData.
for (unsigned int v = 0; v < numberOfPoints; ++v)
{
if (dA[v] > 0.0)
{
this->m_GaussCurvatureData->SetElement(v, 3.0 * K[v] / dA[v]);
}
}
}
} // end namespace itk
#endif
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