DGtal 1.4.0
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obj-curvature-measures-icnc-3d.cpp File Reference
DGtal Examples
#include <iostream>
#include <fstream>
#include <algorithm>
#include "DGtal/base/Common.h"
#include "DGtal/shapes/SurfaceMesh.h"
#include "DGtal/shapes/SurfaceMeshHelper.h"
#include "DGtal/geometry/meshes/CorrectedNormalCurrentComputer.h"
#include "DGtal/io/readers/SurfaceMeshReader.h"
#include "DGtal/io/writers/SurfaceMeshWriter.h"
#include "DGtal/io/colormaps/GradientColorMap.h"
#include "DGtal/io/colormaps/QuantifiedColorMap.h"
Include dependency graph for obj-curvature-measures-icnc-3d.cpp:

Go to the source code of this file.

Functions

DGtal::GradientColorMap< double > makeColorMap (double min_value, double max_value)
 [curvature-measures-Includes]
 
void usage (int argc, char *argv[])
 
int main (int argc, char *argv[])
 

Detailed Description

This program is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program. If not, see http://www.gnu.org/licenses/.

Author
Jacques-Olivier Lachaud (jacqu.nosp@m.es-o.nosp@m.livie.nosp@m.r.la.nosp@m.chaud.nosp@m.@uni.nosp@m.v-sav.nosp@m.oie..nosp@m.fr ) Laboratory of Mathematics (CNRS, UMR 5127), University of Savoie, France
Date
2021/10/25

An example file named obj-curvature-measures-icnc-3d.

This file is part of the DGtal library.

Definition in file obj-curvature-measures-icnc-3d.cpp.

Function Documentation

◆ main()

int main ( int argc,
char * argv[] )

[curvature-measures-Typedefs]

[curvature-measures-Typedefs]

[curvature-measures-SurfaceMesh]

[curvature-measures-SurfaceMesh]

[curvature-measures-CNC]

[curvature-measures-CNC]

[curvature-measures-estimations]

[curvature-measures-estimations]

[curvature-measures-check]

[curvature-measures-check]

[curvature-measures-output]

[curvature-measures-output]

Definition at line 108 of file obj-curvature-measures-icnc-3d.cpp.

109{
110 if ( argc <= 1 )
111 {
112 usage( argc, argv );
113 return 0;
114 }
116 using namespace DGtal;
117 using namespace DGtal::Z3i;
118 typedef SurfaceMesh< RealPoint, RealVector > SM;
119 typedef CorrectedNormalCurrentComputer< RealPoint, RealVector > CNC;
120 typedef SurfaceMeshReader< RealPoint, RealVector > SMR;
122 // OBJ file
123 std::string input = argv[ 1 ];
124 const double R = argc > 2 ? atof( argv[ 2 ] ) : 0.0; // radius of measuring ball
125 const double Hmax = argc > 3 ? atof( argv[ 3 ] ) : 5.0; // range mean curvature colormap
126 const double Gmax = argc > 4 ? atof( argv[ 4 ] ) : 0.5*Hmax*Hmax; // range Gaussian curvature colormap
128 SM smesh;
129 std::ifstream obj_stream( input.c_str() );
130 bool ok = SMR::readOBJ( obj_stream, smesh );
131 if ( !ok )
132 {
133 trace.error() << "Unable to read file <" << input.c_str() << ">" << std::endl;
134 return 1;
135 }
136 RealPoint lo = smesh.position( 0 );
137 RealPoint up = smesh.position( 0 );
138 for ( const auto& p : smesh.positions() )
139 lo = lo.inf( p ), up = up.sup( p );
140 const auto diameter = (up - lo).norm();
141 trace.info() << "Mesh=" << smesh
142 << " diameter=" << diameter
143 << " radius=" << R << std::endl;
145
147 // builds a CorrectedNormalCurrentComputer object onto the SurfaceMesh object
148 CNC cnc( smesh );
149 // computes normals if necessary
150 if ( smesh.vertexNormals().empty() )
151 {
152 if ( smesh.faceNormals().empty() )
153 smesh.computeFaceNormalsFromPositions();
154 smesh.computeVertexNormalsFromFaceNormals();
155 }
156 // computes area, mean and Gaussian curvature measures
157 auto mu0 = cnc.computeMu0();
158 auto mu1 = cnc.computeMu1();
159 auto mu2 = cnc.computeMu2();
161
163 // estimates mean (H) and Gaussian (G) curvatures by measure normalization.
164 std::vector< double > H( smesh.nbFaces() );
165 std::vector< double > G( smesh.nbFaces() );
166 for ( auto f = 0; f < smesh.nbFaces(); ++f )
167 {
168 const auto b = smesh.faceCentroid( f );
169 const auto area = mu0.measure( b, R, f );
170 H[ f ] = cnc.meanCurvature ( area, mu1.measure( b, R, f ) );
171 G[ f ] = cnc.GaussianCurvature( area, mu2.measure( b, R, f ) );
172 }
174
176 auto H_min_max = std::minmax_element( H.cbegin(), H.cend() );
177 auto G_min_max = std::minmax_element( G.cbegin(), G.cend() );
178 std::cout << "Computed mean curvatures:"
179 << " min=" << *H_min_max.first << " max=" << *H_min_max.second
180 << std::endl;
181 std::cout << "Computed Gaussian curvatures:"
182 << " min=" << *G_min_max.first << " max=" << *G_min_max.second
183 << std::endl;
185
187 typedef SurfaceMeshWriter< RealPoint, RealVector > SMW;
188 const auto colormapH = makeQuantifiedColorMap( makeColorMap( -Hmax, Hmax ) );
189 const auto colormapG = makeQuantifiedColorMap( makeColorMap( -Gmax, Gmax ) );
190 auto colorsH = SMW::Colors( smesh.nbFaces() );
191 auto colorsG = SMW::Colors( smesh.nbFaces() );
192 for ( auto i = 0; i < smesh.nbFaces(); i++ )
193 {
194 colorsH[ i ] = colormapH( H[ i ] );
195 colorsG[ i ] = colormapG( G[ i ] );
196 }
197 SMW::writeOBJ( "example-cnc-H", smesh, colorsH );
198 SMW::writeOBJ( "example-cnc-G", smesh, colorsG );
200 return 0;
201}
DGtal::Trace::error
std::ostream & error()
DGtal::Trace::info
std::ostream & info()
DGtal::Z3i
Z3i this namespace gathers the standard of types for 3D imagery.
DGtal
DGtal is the top-level namespace which contains all DGtal functions and types.
Definition ClosedIntegerHalfPlane.h:49
DGtal::makeQuantifiedColorMap
QuantifiedColorMap< TColorMap > makeQuantifiedColorMap(TColorMap colormap, int nb=50)
Definition QuantifiedColorMap.h:113
DGtal::trace
Trace trace
Definition Common.h:153
DGtal::inf
auto inf(PointVector< ptDim, LeftEuclideanRing, LeftContainer > const &lhs, PointVector< ptDim, RightEuclideanRing, RightContainer > const &rhs) -> decltype(DGtal::constructFromArithmeticConversion(lhs, rhs))
Implements the infimum (or greatest lower bound).
DGtal::sup
auto sup(PointVector< ptDim, LeftEuclideanRing, LeftContainer > const &lhs, PointVector< ptDim, RightEuclideanRing, RightContainer > const &rhs) -> decltype(DGtal::constructFromArithmeticConversion(lhs, rhs))
Implements the supremum (or least upper bound).
makeColorMap
DGtal::GradientColorMap< double > makeColorMap(double min_value, double max_value)
[curvature-measures-Includes]
Definition obj-curvature-measures-icnc-3d.cpp:78
DGtal::CorrectedNormalCurrentComputer
Aim: Utility class to compute curvature measures induced by (1) a corrected normal current defined by...
Definition CorrectedNormalCurrentComputer.h:70
DGtal::SurfaceMeshReader
Aim: An helper class for reading mesh files (Wavefront OBJ at this point) and creating a SurfaceMesh.
Definition SurfaceMeshReader.h:64
DGtal::SurfaceMeshWriter
Aim: An helper class for writing mesh file formats (Waverfront OBJ at this point) and creating a Surf...
Definition SurfaceMeshWriter.h:65
DGtal::SurfaceMesh
Aim: Represents an embedded mesh as faces and a list of vertices. Vertices may be shared among faces ...
Definition SurfaceMesh.h:92
RealPoint
PointVector< 3, double > RealPoint
Definition testTriangulatedSurface.cpp:51

References DGtal::Trace::error(), DGtal::PointVector< dim, TEuclideanRing, TContainer >::inf(), DGtal::Trace::info(), makeColorMap(), and DGtal::PointVector< dim, TEuclideanRing, TContainer >::sup().

◆ makeColorMap()

DGtal::GradientColorMap< double > makeColorMap ( double min_value,
double max_value )

[curvature-measures-Includes]

[curvature-measures-Includes]

Definition at line 78 of file obj-curvature-measures-icnc-3d.cpp.

79{
80 DGtal::GradientColorMap< double > gradcmap( min_value, max_value );
81 gradcmap.addColor( DGtal::Color( 0, 0, 255 ) );
82 gradcmap.addColor( DGtal::Color( 0, 255, 255 ) );
83 gradcmap.addColor( DGtal::Color( 255, 255, 255 ) );
84 gradcmap.addColor( DGtal::Color( 255, 255, 0 ) );
85 gradcmap.addColor( DGtal::Color( 255, 0, 0 ) );
86 return gradcmap;
87}
DGtal::Color
Structure representing an RGB triple with alpha component.
Definition Color.h:68
DGtal::GradientColorMap
Aim: This class template may be used to (linearly) convert scalar values in a given range into a colo...
Definition GradientColorMap.h:120

References DGtal::GradientColorMap< PValue, PDefaultPreset, PDefaultFirstColor, PDefaultLastColor >::addColor().

Referenced by main().

◆ usage()

void usage ( int argc,
char * argv[] )

Definition at line 89 of file obj-curvature-measures-icnc-3d.cpp.

90{
91 std::cout << "Usage: " << std::endl
92 << "\t" << argv[ 0 ] << " <filename.obj> <R> <Hmax> <Gmax>" << std::endl
93 << std::endl
94 << "Computation of mean and Gaussian curvatures on a mesh, " << std::endl
95 << "using interpolated corrected curvature measures (based " << std::endl
96 << "on the theory of corrected normal currents)." << std::endl
97 << "- builds the surface mesh from file <filename.obj>" << std::endl
98 << "- <R> is the radius of the measuring balls" << std::endl
99 << "- <Hmax> gives the colormap range [-Hmax,Hmax] for" << std::endl
100 << " the output of mean curvature estimates" << std::endl
101 << "- <Gmax> gives the colormap range [-Gmax,Gmax] for" << std::endl
102 << " the output of mean curvature estimates" << std::endl
103 << "It produces several OBJ files to display mean and" << std::endl
104 << "Gaussian curvature estimation results: `example-cnc-H.obj`" << std::endl
105 << "and `example-cnc-G.obj` as well as the associated MTL file." << std::endl;
106}