DGtal 1.3.0
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testIntegralInvariantCovarianceEstimator.cpp File Reference
#include <iostream>
#include <tuple>
#include "DGtal/base/Common.h"
#include "DGtal/shapes/implicit/ImplicitBall.h"
#include "DGtal/shapes/GaussDigitizer.h"
#include "DGtal/topology/LightImplicitDigitalSurface.h"
#include "DGtal/topology/DigitalSurface.h"
#include "DGtal/graph/DepthFirstVisitor.h"
#include "DGtal/graph/GraphVisitorRange.h"
#include "DGtal/geometry/surfaces/estimation/IIGeometricFunctors.h"
#include "DGtal/geometry/surfaces/estimation/IntegralInvariantCovarianceEstimator.h"

Go to the source code of this file.

Functions

bool testGaussianCurvature3d (double h, double delta)
 
bool testPrincipalCurvatures3d (double h)
 
int main (int, char **)
 

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
Jérémy Levallois (jerem.nosp@m.y.le.nosp@m.vallo.nosp@m.is@l.nosp@m.iris..nosp@m.cnrs.nosp@m..fr ) Laboratoire d'InfoRmatique en Image et Systèmes d'information - LIRIS (CNRS, UMR 5205), INSA-Lyon, France LAboratoire de MAthématiques - LAMA (CNRS, UMR 5127), Université de Savoie, France
Date
2014/06/26

Functions for testing class IntegralInvariantCovarianceEstimator and IIGeometricFunctor.

This file is part of the DGtal library.

Definition in file testIntegralInvariantCovarianceEstimator.cpp.

Function Documentation

◆ main()

int main ( int  ,
char **   
)

Definition at line 281 of file testIntegralInvariantCovarianceEstimator.cpp.

282{
283 trace.beginBlock ( "Testing class IntegralInvariantCovarianceEstimator and 3d functors" );
284 bool res = testGaussianCurvature3d( 0.6, 0.007 ) && testPrincipalCurvatures3d( 0.6 );
285 trace.emphase() << ( res ? "Passed." : "Error." ) << std::endl;
286 trace.endBlock();
287 return res ? 0 : 1;
288}
void beginBlock(const std::string &keyword="")
std::ostream & emphase()
double endBlock()
Trace trace
Definition: Common.h:154
bool testPrincipalCurvatures3d(double h)
bool testGaussianCurvature3d(double h, double delta)

References DGtal::Trace::beginBlock(), DGtal::Trace::emphase(), DGtal::Trace::endBlock(), testGaussianCurvature3d(), testPrincipalCurvatures3d(), and DGtal::trace.

◆ testGaussianCurvature3d()

bool testGaussianCurvature3d ( double  h,
double  delta 
)

Definition at line 61 of file testIntegralInvariantCovarianceEstimator.cpp.

62{
68 typedef GraphVisitorRange< Visitor > VisitorRange;
69 typedef VisitorRange::ConstIterator VisitorConstIterator;
70
71 typedef functors::IIGaussianCurvature3DFunctor<Z3i::Space> MyIICurvatureFunctor;
73 typedef MyIICurvatureFunctor::Value Value;
74
75 double re = 5.0;
76 double radius = 5.0;
77 double realValue = 1.0/(radius * radius);
78
79 trace.beginBlock( "Shape initialisation ..." );
80
81 ImplicitShape ishape( Z3i::RealPoint( 0, 0, 0 ), radius );
82 DigitalShape dshape;
83 dshape.attach( ishape );
84 dshape.init( Z3i::RealPoint( -10.0, -10.0, -10.0 ), Z3i::RealPoint( 10.0, 10.0, 10.0 ), h );
85
87 if ( !K.init( dshape.getLowerBound(), dshape.getUpperBound(), true ) )
88 {
89 trace.error() << "Problem with Khalimsky space" << std::endl;
90 return false;
91 }
92
94 Boundary boundary( K, dshape, SurfelAdjacency<Z3i::KSpace::dimension>( true ), bel );
95 MyDigitalSurface surf ( boundary );
96
98
99 trace.beginBlock( "Curvature estimator initialisation ...");
100
101 VisitorRange range( new Visitor( surf, *surf.begin() ));
102 VisitorConstIterator ibegin = range.begin();
103 VisitorConstIterator iend = range.end();
104
105 MyIICurvatureFunctor curvatureFunctor;
106 curvatureFunctor.init( h, re );
107
108 MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );
109 curvatureEstimator.attach( K, dshape );
110 curvatureEstimator.setParams( re/h );
111 curvatureEstimator.init( h, ibegin, iend );
112
113 trace.endBlock();
114
115 trace.beginBlock( "Curvature estimator evaluation ...");
116
117 std::vector< Value > results;
118 std::back_insert_iterator< std::vector< Value > > resultsIt( results );
119 curvatureEstimator.eval( ibegin, iend, resultsIt );
120
121 trace.endBlock();
122
123 trace.beginBlock ( "Comparing results of integral invariant 3D Gaussian curvature ..." );
124
125 double mean = 0.0;
126 unsigned int rsize = static_cast<unsigned int>(results.size());
127
128 if( rsize == 0 )
129 {
130 trace.error() << "ERROR: surface is empty" << std::endl;
131 trace.endBlock();
132 return false;
133 }
134
135 for ( unsigned int i = 0; i < rsize; ++i )
136 {
137 mean += results[ i ];
138 }
139 mean /= rsize;
140
141 if( mean != mean ) //NaN
142 {
143 trace.error() << "ERROR: result is NaN" << std::endl;
144 trace.endBlock();
145 return false;
146 }
147
148 double v = std::abs ( realValue - mean );
149
150 trace.warning() << "True value: " << realValue << std::endl;
151 trace.warning() << "Mean value: " << mean << std::endl;
152 trace.warning() << "Delta: " << delta << " |true - mean|: " << v << std::endl;
153
154 if( v > delta )
155 {
156 trace.endBlock();
157 return false;
158 }
159 trace.endBlock();
160 return true;
161}
Aim: This class is useful to perform a depth-first exploration of a graph given a starting point or s...
Aim: Represents a set of n-1-cells in a nD space, together with adjacency relation between these cell...
Aim: A class for computing the Gauss digitization of some Euclidean shape, i.e. its intersection with...
const Point & getUpperBound() const
void attach(ConstAlias< EuclideanShape > shape)
const Point & getLowerBound() const
void init(const RealPoint &xLow, const RealPoint &xUp, typename RealVector::Component gridStep)
Aim: Transforms a graph visitor into a single pass input range.
Aim: model of CEuclideanOrientedShape and CEuclideanBoundedShape concepts to create a ball in nD....
Definition: ImplicitBall.h:65
Aim: model of CEuclideanOrientedShape concepts to create a shape from a polynomial.
Aim: This class implement an Integral Invariant estimator which computes for each surfel the covarian...
Aim: This class is a model of CCellularGridSpaceND. It represents the cubical grid as a cell complex,...
bool init(const Point &lower, const Point &upper, bool isClosed)
Specifies the upper and lower bounds for the maximal cells in this space.
Aim: A model of CDigitalSurfaceContainer which defines the digital surface as the boundary of an impl...
Aim: Implements basic operations that will be used in Point and Vector classes.
Definition: PointVector.h:593
static SCell findABel(const KSpace &K, const PointPredicate &pp, unsigned int nbtries=1000)
Aim: Represent adjacencies between surfel elements, telling if it follows an interior to exterior ord...
std::ostream & warning()
std::ostream & error()
DigitalSurface< MyDigitalSurfaceContainer > MyDigitalSurface
BreadthFirstVisitor< MyDigitalSurface > Visitor
Represents a signed cell in a cellular grid space by its Khalimsky coordinates and a boolean value.
Aim: A functor Matrix -> Real that returns the Gaussian curvature by diagonalizing the given covarian...
KSpace K
std::default_random_engine re

References DGtal::GaussDigitizer< TSpace, TEuclideanShape >::attach(), DGtal::DigitalSurface< TDigitalSurfaceContainer >::begin(), DGtal::Trace::beginBlock(), DGtal::Trace::endBlock(), DGtal::Trace::error(), DGtal::Surfaces< TKSpace >::findABel(), DGtal::GaussDigitizer< TSpace, TEuclideanShape >::getLowerBound(), DGtal::GaussDigitizer< TSpace, TEuclideanShape >::getUpperBound(), DGtal::KhalimskySpaceND< dim, TInteger >::init(), DGtal::GaussDigitizer< TSpace, TEuclideanShape >::init(), K, re, DGtal::trace, and DGtal::Trace::warning().

Referenced by main().

◆ testPrincipalCurvatures3d()

bool testPrincipalCurvatures3d ( double  h)

Definition at line 163 of file testIntegralInvariantCovarianceEstimator.cpp.

164{
170 typedef GraphVisitorRange< Visitor > VisitorRange;
171 typedef VisitorRange::ConstIterator VisitorConstIterator;
172
173 typedef functors::IIPrincipalCurvatures3DFunctor<Z3i::Space> MyIICurvatureFunctor;
175 typedef MyIICurvatureFunctor::Value Value;
176
179 typedef MyIICurvatureFunctorTensor::Value ValueTensor;
180
181 double re = 5.0;
182 double radius = 5.0;
183
184 trace.beginBlock( "Shape initialisation ..." );
185
186 ImplicitShape ishape( Z3i::RealPoint( 0, 0, 0 ), radius );
187 DigitalShape dshape;
188 dshape.attach( ishape );
189 dshape.init( Z3i::RealPoint( -10.0, -10.0, -10.0 ), Z3i::RealPoint( 10.0, 10.0, 10.0 ), h );
190
192 if ( !K.init( dshape.getLowerBound(), dshape.getUpperBound(), true ) )
193 {
194 trace.error() << "Problem with Khalimsky space" << std::endl;
195 return false;
196 }
197
199 Boundary boundary( K, dshape, SurfelAdjacency<Z3i::KSpace::dimension>( true ), bel );
200 MyDigitalSurface surf ( boundary );
201
202 trace.endBlock();
203
204 trace.beginBlock( "Curvature estimator initialisation ...");
205
206 VisitorRange range( new Visitor( surf, *surf.begin() ));
207 VisitorConstIterator ibegin = range.begin();
208 VisitorConstIterator iend = range.end();
209
210 MyIICurvatureFunctor curvatureFunctor;
211 curvatureFunctor.init( h, re );
212 MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );
213 curvatureEstimator.attach( K, dshape );
214 curvatureEstimator.setParams( re/h );
215 curvatureEstimator.init( h, ibegin, iend );
216
217 MyIICurvatureFunctorTensor curvatureFunctorTensor;
218 curvatureFunctorTensor.init( h, re );
219 MyIICurvatureEstimatorTensor curvatureEstimatorTensor( curvatureFunctorTensor );
220 curvatureEstimatorTensor.attach( K, dshape );
221 curvatureEstimatorTensor.setParams( re/h );
222 curvatureEstimatorTensor.init( h, ibegin, iend );
223
224 trace.endBlock();
225
226 trace.beginBlock( "Curvature estimator evaluation ...");
227
228 std::vector< Value > results;
229 std::back_insert_iterator< std::vector< Value > > resultsIt( results );
230 curvatureEstimator.eval( ibegin, iend, resultsIt );
231 trace.endBlock();
232
233
234
235 trace.beginBlock( "Checking CurvaturesAndDirections functor");
236 Value val = curvatureEstimator.eval( surf.begin() );
237 ValueTensor valTensor = curvatureEstimatorTensor.eval( surf.begin() );
238 bool ok = (val.first == std::get<0>(valTensor));
239 ok &= (val.second == std::get<1>(valTensor));
240 if (!ok)
241 trace.error()<< "Error comparing principal curvatures between two different functors."<<std::endl;
242
243 trace.endBlock();
244
245
246 trace.beginBlock ( "Comparing results of integral invariant 3D Gaussian curvature ..." );
247
248 unsigned int error_order = 0;
249 unsigned int rsize = static_cast<unsigned int>(results.size());
250
251 if( rsize == 0 )
252 {
253 trace.error() << "ERROR: surface is empty" << std::endl;
254 trace.endBlock();
255 return false;
256 }
257
258 for ( unsigned int i = 0; i < rsize; ++i )
259 {
260 if( std::abs(results[i].first) < std::abs(results[i].second) )
261 {
262 ++error_order;
263 }
264 }
265
266 trace.warning() << "Error order: " << error_order << std::endl;
267 trace.warning() << "If not equals to 0, something is wrong..." << std::endl;
268
269 trace.endBlock();
270
271 if( error_order != 0 )
272 {
273 return false;
274 }
275 return true;
276}
Aim: A functor Matrix -> std::pair<RealVector,RealVector> that returns the first and the second princ...
Aim: A functor Matrix -> std::pair<Real,Real> that returns the first and the second principal curvatu...

References DGtal::GaussDigitizer< TSpace, TEuclideanShape >::attach(), DGtal::DigitalSurface< TDigitalSurfaceContainer >::begin(), DGtal::Trace::beginBlock(), DGtal::Trace::endBlock(), DGtal::Trace::error(), DGtal::Surfaces< TKSpace >::findABel(), DGtal::GaussDigitizer< TSpace, TEuclideanShape >::getLowerBound(), DGtal::GaussDigitizer< TSpace, TEuclideanShape >::getUpperBound(), DGtal::KhalimskySpaceND< dim, TInteger >::init(), DGtal::GaussDigitizer< TSpace, TEuclideanShape >::init(), K, re, DGtal::trace, and DGtal::Trace::warning().

Referenced by main().