1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
|
/*=========================================================================
*
* 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 itkDiscreteMeanCurvatureQuadEdgeMeshFilter_h
#define itkDiscreteMeanCurvatureQuadEdgeMeshFilter_h
#include "itkDiscreteCurvatureQuadEdgeMeshFilter.h"
#include "itkQuadEdgeMeshParamMatrixCoefficients.h"
namespace itk
{
/**
* \class DiscreteMeanCurvatureQuadEdgeMeshFilter
* \brief see the following paper
* title: Discrete Differential-Geometry Operators for Triangulated 2-Manifolds
* authors: Mark Meyer, Mathieu Desbrun, Peter Schroder, Alan H. Barr
* conference: VisMath '02
* location: Berlin (Germany)
* \ingroup ITKQuadEdgeMeshFiltering
*/
template< typename TInputMesh, typename TOutputMesh=TInputMesh >
class DiscreteMeanCurvatureQuadEdgeMeshFilter:
public DiscreteCurvatureQuadEdgeMeshFilter< TInputMesh, TOutputMesh >
{
public:
typedef DiscreteMeanCurvatureQuadEdgeMeshFilter Self;
typedef SmartPointer< Self > Pointer;
typedef SmartPointer< const Self > ConstPointer;
typedef DiscreteCurvatureQuadEdgeMeshFilter< TInputMesh, TOutputMesh > Superclass;
typedef typename Superclass::InputMeshType InputMeshType;
typedef typename Superclass::InputMeshPointer InputMeshPointer;
typedef typename Superclass::OutputMeshType OutputMeshType;
typedef typename Superclass::OutputMeshPointer OutputMeshPointer;
typedef typename Superclass::OutputPointsContainerPointer OutputPointsContainerPointer;
typedef typename Superclass::OutputPointsContainerIterator OutputPointsContainerIterator;
typedef typename Superclass::OutputPointType OutputPointType;
typedef typename Superclass::OutputVectorType OutputVectorType;
typedef typename Superclass::OutputCoordType OutputCoordType;
typedef typename Superclass::OutputPointIdentifier OutputPointIdentifier;
typedef typename Superclass::OutputCellIdentifier OutputCellIdentifier;
typedef typename Superclass::OutputQEType OutputQEType;
typedef typename Superclass::OutputMeshTraits OutputMeshTraits;
typedef typename Superclass::OutputCurvatureType OutputCurvatureType;
typedef typename Superclass::TriangleType TriangleType;
/** Run-time type information (and related methods). */
itkTypeMacro(DiscreteMeanCurvatureQuadEdgeMeshFilter, DiscreteCurvatureQuadEdgeMeshFilter);
/** New macro for creation of through a Smart Pointer */
itkNewMacro(Self);
typedef ConformalMatrixCoefficients< OutputMeshType > CoefficientType;
#ifdef ITK_USE_CONCEPT_CHECKING
// Begin concept checking
itkConceptMacro( OutputIsFloatingPointCheck,
( Concept::IsFloatingPoint< OutputCurvatureType > ) );
// End concept checking
#endif
protected:
DiscreteMeanCurvatureQuadEdgeMeshFilter() {}
~DiscreteMeanCurvatureQuadEdgeMeshFilter() ITK_OVERRIDE {}
virtual OutputCurvatureType EstimateCurvature(const OutputPointType & iP) ITK_OVERRIDE
{
OutputMeshPointer output = this->GetOutput();
OutputQEType *qe = iP.GetEdge();
OutputCurvatureType oH(0.);
OutputVectorType Laplace;
Laplace.Fill(0.);
OutputCurvatureType area(0.);
OutputVectorType normal;
normal.Fill(0.);
if ( qe != ITK_NULLPTR )
{
if ( qe != qe->GetOnext() )
{
CoefficientType coefficent;
OutputQEType *qe_it = qe;
OutputQEType *qe_it2;
OutputCurvatureType temp_area;
OutputCoordType temp_coeff;
OutputPointType q0, q1;
OutputVectorType face_normal;
do
{
qe_it2 = qe_it->GetOnext();
q0 = output->GetPoint( qe_it->GetDestination() );
q1 = output->GetPoint( qe_it2->GetDestination() );
temp_coeff = coefficent(output, qe_it);
Laplace += temp_coeff * ( iP - q0 );
temp_area = this->ComputeMixedArea(qe_it, qe_it2);
area += temp_area;
face_normal = TriangleType::ComputeNormal(q0, iP, q1);
normal += face_normal;
qe_it = qe_it2;
}
while ( qe_it != qe );
if ( area < 1e-6 )
{
oH = 0.;
}
else
{
if ( normal.GetSquaredNorm() > 0. )
{
normal.Normalize();
Laplace *= 0.25 / area;
oH = Laplace * normal;
}
else
{
oH = 0.;
}
}
}
}
return oH;
}
private:
ITK_DISALLOW_COPY_AND_ASSIGN(DiscreteMeanCurvatureQuadEdgeMeshFilter);
};
}
#endif
|
