DGtal  1.5.beta
Functions
obj-curvature-measures-icnc-XY-3d.cpp File Reference
DGtal Examples
#include <iostream>
#include <algorithm>
#include "DGtal/base/Common.h"
#include "DGtal/shapes/SurfaceMesh.h"
#include "DGtal/geometry/meshes/CorrectedNormalCurrentComputer.h"
#include "DGtal/io/writers/SurfaceMeshWriter.h"
#include "DGtal/io/colormaps/GradientColorMap.h"
#include "DGtal/helpers/Shortcuts.h"
#include "DGtal/io/readers/SurfaceMeshReader.h"
#include "DGtal/io/colormaps/QuantifiedColorMap.h"
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Go to the source code of this file.

Functions

DGtal::GradientColorMap< double > makeColorMap (double min_value, double max_value)
 [curvature-measures-Includes] More...
 
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-XY-3d.

This file is part of the DGtal library.

Definition in file obj-curvature-measures-icnc-XY-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 110 of file obj-curvature-measures-icnc-XY-3d.cpp.

111 {
112  if ( argc <= 1 )
113  {
114  usage( argc, argv );
115  return 0;
116  }
118  using namespace DGtal;
119  using namespace DGtal::Z3i;
120  typedef SurfaceMesh< RealPoint, RealVector > SM;
121  typedef CorrectedNormalCurrentComputer< RealPoint, RealVector > CNC;
122  typedef SurfaceMeshReader< RealPoint, RealVector > SMR;
124  // OBJ file
125  std::string input = argv[ 1 ];
126  const double R = argc > 2 ? atof( argv[ 2 ] ) : 0.0; // radius of measuring ball
127  const double Kmax = argc > 3 ? atof( argv[ 3 ] ) : 5.0; // range curvature colormap
128 
130  SM smesh;
131  std::ifstream obj_stream( input.c_str() );
132  bool ok = SMR::readOBJ( obj_stream, smesh );
133  if ( !ok )
134  {
135  trace.error() << "Unable to read file <" << input.c_str() << ">" << std::endl;
136  return 1;
137  }
138  RealPoint lo = smesh.position( 0 );
139  RealPoint up = smesh.position( 0 );
140  for ( const auto& p : smesh.positions() )
141  lo = lo.inf( p ), up = up.sup( p );
142  const auto diameter = (up - lo).norm();
143  trace.info() << "Mesh=" << smesh
144  << " diameter=" << diameter
145  << " radius=" << R << std::endl;
147 
149  // builds a CorrectedNormalCurrentComputer object onto the mesh
150  CNC cnc( smesh );
151  // computes normals if necessary
152  if ( smesh.vertexNormals().empty() )
153  {
154  if ( smesh.faceNormals().empty() )
155  smesh.computeFaceNormalsFromPositions();
156  smesh.computeVertexNormalsFromFaceNormals();
157  }
158  // computes area, anisotropic XY curvature measures
159  auto mu0 = cnc.computeMu0();
160  auto muXY = cnc.computeMuXY();
162 
164  // estimates mean (H) and Gaussian (G) curvatures by measure normalization.
165  std::vector< double > K1( smesh.nbFaces() );
166  std::vector< double > K2( smesh.nbFaces() );
167  std::vector< RealVector > D1( smesh.nbFaces() );
168  std::vector< RealVector > D2( smesh.nbFaces() );
169  smesh.computeFaceNormalsFromPositions();
170  for ( auto f = 0; f < smesh.nbFaces(); ++f )
171  {
172  const auto b = smesh.faceCentroid( f );
173  const auto N = smesh.faceNormals()[ f ];
174  const auto area = mu0 .measure( b, R, f );
175  const auto M = muXY.measure( b, R, f );
176  std::tie( K1[ f ], K2[ f ], D1[ f ], D2[ f ] )
177  = cnc.principalCurvatures( area, M, N );
178  }
180 
182  auto K1_min_max = std::minmax_element( K1.cbegin(), K1.cend() );
183  auto K2_min_max = std::minmax_element( K2.cbegin(), K2.cend() );
184  std::cout << "Computed k1 curvatures:"
185  << " min=" << *K1_min_max.first << " max=" << *K1_min_max.second
186  << std::endl;
187  std::cout << "Computed k2 curvatures:"
188  << " min=" << *K2_min_max.first << " max=" << *K2_min_max.second
189  << std::endl;
191 
193  typedef SurfaceMeshWriter< RealPoint, RealVector > SMW;
194  typedef Shortcuts< KSpace > SH;
195  const auto colormapK1 = makeQuantifiedColorMap( makeColorMap( -Kmax, Kmax ) );
196  const auto colormapK2 = makeQuantifiedColorMap( makeColorMap( -Kmax, Kmax ) );
197  auto colorsK1 = SMW::Colors( smesh.nbFaces() );
198  auto colorsK2 = SMW::Colors( smesh.nbFaces() );
199  for ( auto i = 0; i < smesh.nbFaces(); i++ )
200  {
201  colorsK1[ i ] = colormapK1( K1[ i ] );
202  colorsK2[ i ] = colormapK2( K2[ i ] );
203  }
204  SMW::writeOBJ( "example-cnc-K1", smesh, colorsK1 );
205  SMW::writeOBJ( "example-cnc-K2", smesh, colorsK2 );
206  const auto avg_e = smesh.averageEdgeLength();
207  SH::RealPoints positions( smesh.nbFaces() );
208  for ( auto f = 0; f < positions.size(); ++f )
209  {
210  D1[ f ] *= smesh.localWindow( f );
211  positions[ f ] = smesh.faceCentroid( f ) - 0.5 * D1[ f ];
212  }
213  SH::saveVectorFieldOBJ( positions, D1, 0.05 * avg_e, SH::Colors(),
214  "example-cnc-D1",
215  SH::Color::Black, SH::Color( 0, 128, 0 ) );
216  for ( auto f = 0; f < positions.size(); ++f )
217  {
218  D2[ f ] *= smesh.localWindow( f );
219  positions[ f ] = smesh.faceCentroid( f ) - 0.5 * D2[ f ];
220  }
221  SH::saveVectorFieldOBJ( positions, D2, 0.05 * avg_e, SH::Colors(),
222  "example-cnc-D2",
223  SH::Color::Black, SH::Color(128, 0,128 ) );
224 
226  return 0;
227 }
DGtal::PointVector
Aim: Implements basic operations that will be used in Point and Vector classes.
Definition: PointVector.h:593
DGtal::PointVector::inf
auto inf(const PointVector< dim, OtherComponent, OtherStorage > &aPoint) const -> decltype(DGtal::inf(*this, aPoint))
Implements the infimum (or greatest lower bound).
DGtal::PointVector::sup
auto sup(const PointVector< dim, OtherComponent, OtherStorage > &aPoint) const -> decltype(DGtal::sup(*this, aPoint))
Implements the supremum (or least upper bound).
DGtal::Shortcuts
Aim: This class is used to simplify shape and surface creation. With it, you can create new shapes an...
Definition: Shortcuts.h:105
DGtal::Trace::error
std::ostream & error()
DGtal::Trace::info
std::ostream & info()
DGtal::Z2i::K2
KSpace K2
Definition: StdDefs.h:78
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.
DGtal::makeQuantifiedColorMap
QuantifiedColorMap< TColorMap > makeQuantifiedColorMap(TColorMap colormap, int nb=50)
Definition: QuantifiedColorMap.h:113
DGtal::trace
Trace trace
Definition: Common.h:153
makeColorMap
DGtal::GradientColorMap< double > makeColorMap(double min_value, double max_value)
[curvature-measures-Includes]
Definition: obj-curvature-measures-icnc-XY-3d.cpp:81
usage
void usage(int argc, char *argv[])
Definition: obj-curvature-measures-icnc-XY-3d.cpp:92
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

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

◆ makeColorMap()

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

[curvature-measures-Includes]

[curvature-measures-Includes]

Definition at line 81 of file obj-curvature-measures-icnc-XY-3d.cpp.

82 {
83  DGtal::GradientColorMap< double > gradcmap( min_value, max_value );
84  gradcmap.addColor( DGtal::Color( 0, 0, 255 ) );
85  gradcmap.addColor( DGtal::Color( 0, 255, 255 ) );
86  gradcmap.addColor( DGtal::Color( 255, 255, 255 ) );
87  gradcmap.addColor( DGtal::Color( 255, 255, 0 ) );
88  gradcmap.addColor( DGtal::Color( 255, 0, 0 ) );
89  return gradcmap;
90 }
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 92 of file obj-curvature-measures-icnc-XY-3d.cpp.

93 {
94  std::cout << "Usage: " << std::endl
95  << "\t" << argv[ 0 ] << " <filename.obj> <R> <Kmax>" << std::endl
96  << std::endl
97  << "Computation of principal curvatures and directions on a mesh, " << std::endl
98  << "using interpolated corrected curvature measures (based " << std::endl
99  << "on the theory of corrected normal currents)." << std::endl
100  << "- builds the surface mesh from file <filename.obj>" << std::endl
101  << "- <R> is the radius of the measuring balls." << std::endl
102  << "- <Kmax> gives the colormap range [-Kmax,Kmax] for" << std::endl
103  << " the output of principal curvatures estimates" << std::endl
104  << "It produces several OBJ files to display principal " << std::endl
105  << "curvatures and directions estimations: `example-cnc-K1.obj`" << std::endl
106  << "`example-cnc-K2.obj`, `example-cnc-D1.obj`, and" << std::endl
107  << "`example-cnc-D2.obj` as well as associated MTL files." << std::endl;
108 }

Referenced by main().