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3dLocalEstimators.cpp
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3dLocalEstimators.cpp
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/**
* 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/>.
*
**/
/**
* @file 3dLocalEstimators.cpp
* @ingroup Tools
* @author Jeremy Levallois (\c jeremy.levallois@liris.cnrs.fr )
* Laboratoire d'InfoRmatique en Image et Systèmes d'information - LIRIS (CNRS, UMR 5205), Universite de Lyon, France
* LAboratoire de MAthematiques - LAMA (CNRS, UMR 5807), Universite de Savoie, France
*
* @date 2012/06/20
*
* DGtal 3D curvature shape comparator
*
* This file is part of the DGtalTools library.
*/
///////////////////////////////////////////////////////////////////////////////
#include <iostream>
#include <iomanip>
#include <string>
#include "DGtal/base/Common.h"
#include "DGtal/base/Clock.h"
#include "DGtal/helpers/StdDefs.h"
#include <boost/program_options/options_description.hpp>
#include <boost/program_options/parsers.hpp>
#include <boost/program_options/variables_map.hpp>
//shapes
#include "DGtal/shapes/implicit/ImplicitBall.h"
#include "DGtal/math/MPolynomial.h"
#include "DGtal/io/readers/MPolynomialReader.h"
#include "DGtal/shapes/implicit/ImplicitPolynomial3Shape.h"
//Digitizer
#include "DGtal/shapes/GaussDigitizer.h"
#include "DGtal/topology/LightImplicitDigitalSurface.h"
#include "DGtal/topology/DigitalSurface.h"
#include "DGtal/graph/DepthFirstVisitor.h"
#include "DGtal/geometry/volumes/KanungoNoise.h"
#include "DGtal/topology/CanonicSCellEmbedder.h"
//Estimators
#include "DGtal/kernel/BasicPointFunctors.h"
#include "DGtal/geometry/surfaces/FunctorOnCells.h"
#include "DGtal/geometry/curves/estimation/TrueLocalEstimatorOnPoints.h"
#include "DGtal/geometry/surfaces/estimation/IIGeometricFunctors.h"
#include "DGtal/geometry/surfaces/estimation/IntegralInvariantVolumeEstimator.h"
#include "DGtal/geometry/surfaces/estimation/IntegralInvariantCovarianceEstimator.h"
#include "DGtal/geometry/surfaces/estimation/LocalEstimatorFromSurfelFunctorAdapter.h"
#include "DGtal/geometry/surfaces/estimation/estimationFunctors/MongeJetFittingMeanCurvatureEstimator.h"
#include "DGtal/geometry/surfaces/estimation/estimationFunctors/MongeJetFittingGaussianCurvatureEstimator.h"
#include "DGtal/geometry/surfaces/estimation/estimationFunctors/MongeJetFittingPrincipalCurvaturesEstimator.h"
using namespace DGtal;
using namespace functors;
typedef std::pair<double,double> PrincipalCurvatures;
template < typename Shape, typename KSpace, typename ConstIterator, typename OutputIterator >
void
estimateTrueMeanCurvatureQuantity( const ConstIterator & it_begin,
const ConstIterator & it_end,
OutputIterator & output,
const KSpace & K,
const double & h,
Shape * aShape )
{
typedef typename KSpace::Space::RealPoint RealPoint;
typedef CanonicSCellEmbedder< KSpace > Embedder;
Embedder embedder( K );
RealPoint currentRealPoint;
for ( ConstIterator it = it_begin; it != it_end; ++it )
{
currentRealPoint = embedder( *it_begin ) * h;
*output = aShape->meanCurvature( currentRealPoint );
++output;
}
}
template < typename Shape, typename KSpace, typename ConstIterator, typename OutputIterator >
void
estimateTrueGaussianCurvatureQuantity( const ConstIterator & it_begin,
const ConstIterator & it_end,
OutputIterator & output,
const KSpace & K,
const double & h,
Shape * aShape )
{
typedef typename KSpace::Space::RealPoint RealPoint;
typedef CanonicSCellEmbedder< KSpace > Embedder;
Embedder embedder( K );
RealPoint currentRealPoint;
for ( ConstIterator it = it_begin; it != it_end; ++it )
{
currentRealPoint = embedder( *it_begin ) * h;
*output = aShape->gaussianCurvature( currentRealPoint );
++output;
}
}
template < typename Shape, typename KSpace, typename ConstIterator, typename OutputIterator >
void
estimateTruePrincipalCurvaturesQuantity( const ConstIterator & it_begin,
const ConstIterator & it_end,
OutputIterator & output,
const KSpace & K,
const double & h,
Shape * aShape )
{
typedef typename KSpace::Space::RealPoint RealPoint;
typedef CanonicSCellEmbedder< KSpace > Embedder;
Embedder embedder( K );
RealPoint currentRealPoint;
for ( ConstIterator it = it_begin; it != it_end; ++it )
{
currentRealPoint = embedder( *it_begin ) * h;
double k1, k2;
aShape->principalCurvatures( currentRealPoint, k1, k2 );
PrincipalCurvatures result;
result.first = k1;
result.second = k2;
*output = result;
++output;
}
}
template <typename Space, typename Shape>
bool
compareShapeEstimators( const std::string & filename,
const Shape * aShape,
const typename Space::RealPoint & border_min,
const typename Space::RealPoint & border_max,
const double & h,
const double & radius_kernel,
const double & alpha,
const std::string & options,
const std::string & properties,
const bool & lambda_optimized,
double noiseLevel = 0.0 )
{
typedef typename Space::RealPoint RealPoint;
typedef GaussDigitizer< Z3i::Space, Shape > DigitalShape;
typedef Z3i::KSpace KSpace;
typedef typename KSpace::SCell SCell;
typedef typename KSpace::Surfel Surfel;
bool withNoise = ( noiseLevel <= 0.0 ) ? false : true;
ASSERT (( noiseLevel < 1.0 ));
// Digitizer
DigitalShape dshape;
dshape.attach( *aShape );
dshape.init( border_min, border_max, h );
KSpace K;
if ( ! K.init( dshape.getLowerBound(), dshape.getUpperBound(), true ) )
{
std::cerr << "[3dLocalEstimators] error in creating KSpace." << std::endl;
return false;
}
try
{
if ( withNoise )
{
typedef KanungoNoise< DigitalShape, Z3i::Domain > KanungoPredicate;
typedef LightImplicitDigitalSurface< KSpace, KanungoPredicate > Boundary;
typedef DigitalSurface< Boundary > MyDigitalSurface;
typedef typename MyDigitalSurface::ConstIterator ConstIterator;
typedef DepthFirstVisitor< MyDigitalSurface > Visitor;
typedef GraphVisitorRange< Visitor > VisitorRange;
typedef typename VisitorRange::ConstIterator VisitorConstIterator;
// typedef PointFunctorFromPointPredicateAndDomain< KanungoPredicate, Z3i::Domain, unsigned int > MyPointFunctor;
// typedef FunctorOnCells< MyPointFunctor, KSpace > MySpelFunctor;
// Extracts shape boundary
auto d = dshape.getDomain();
KanungoPredicate noisifiedObject ( dshape, d, noiseLevel );
SCell bel = Surfaces< KSpace >::findABel( K, noisifiedObject, 10000 );
Boundary * boundary = new Boundary( K, noisifiedObject, SurfelAdjacency< KSpace::dimension >( true ), bel );
MyDigitalSurface surf ( *boundary );
double minsize = dshape.getUpperBound()[0] - dshape.getLowerBound()[0];
unsigned int tries = 0;
while( surf.size() < 2 * minsize || tries > 150 )
{
delete boundary;
bel = Surfaces< KSpace >::findABel( K, noisifiedObject, 10000 );
boundary = new Boundary( K, noisifiedObject, SurfelAdjacency< KSpace::dimension >( true ), bel );
surf = MyDigitalSurface( *boundary );
++tries;
}
if( tries > 150 )
{
std::cerr << "Can't found a proper bel. So .... I ... just ... kill myself." << std::endl;
return false;
}
VisitorRange * range;
VisitorConstIterator ibegin;
VisitorConstIterator iend;
// Estimations
Clock c;
// True
if( options.at( 0 ) != '0' )
{
// True Mean Curvature
if( properties.at( 0 ) != '0' )
{
trace.beginBlock( "True mean curvature" );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_True_mean.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# True Mean Curvature estimation" << std::endl;
std::ostream_iterator< double > out_it_true_mean( file, "\n" );
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
c.startClock();
estimateTrueMeanCurvatureQuantity( ibegin,
iend,
out_it_true_mean,
K,
h,
aShape );
double TTrueMeanCurv = c.stopClock();
file << "# time = " << TTrueMeanCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
// True Gaussian Curvature
if( properties.at( 1 ) != '0' )
{
trace.beginBlock( "True Gausian curvature" );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_True_gaussian.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# True Gaussian Curvature estimation" << std::endl;
std::ostream_iterator< double > out_it_true_gaussian( file, "\n" );
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
c.startClock();
estimateTrueGaussianCurvatureQuantity( ibegin,
iend,
out_it_true_gaussian,
K,
h,
aShape );
double TTrueGaussianCurv = c.stopClock();
file << "# time = " << TTrueGaussianCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
// True Principal Curvatures
if( properties.at( 2 ) != '0' )
{
trace.beginBlock( "True principal curvatures" );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_True_principal.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# True Gaussian Curvature estimation" << std::endl;
std::ostream_iterator< std::string > out_it_true_pc( file, "\n" );
std::vector<PrincipalCurvatures> v_results;
std::back_insert_iterator< std::vector<PrincipalCurvatures> > bkIt(v_results);
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
c.startClock();
estimateTruePrincipalCurvaturesQuantity( ibegin,
iend,
bkIt,//out_it_true_pc,
K,
h,
aShape );
for(unsigned int ii = 0; ii < v_results.size(); ++ii )
{
std::stringstream ss;
ss << v_results[ii].first << " " << v_results[ii].second;
*out_it_true_pc = ss.str();
++out_it_true_pc;
}
double TTruePrincCurv = c.stopClock();
file << "# time = " << TTruePrincCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
}
double re = radius_kernel * std::pow( h, alpha ); // to obtains convergence results, re must follow the rule re=kh^(1/3)
// II
if( options.at( 1 ) != '0' )
{
// Integral Invariant Mean Curvature
if( properties.at( 0 ) != '0' )
{
trace.beginBlock( "II mean curvature" );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_II_mean.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# Mean Curvature estimation from the Integral Invariant" << std::endl;
file << "# computed kernel radius = " << re << std::endl;
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
c.startClock();
typedef functors::IIMeanCurvature3DFunctor<Z3i::Space> MyIICurvatureFunctor;
typedef IntegralInvariantVolumeEstimator< KSpace, KanungoPredicate, MyIICurvatureFunctor > MyIICurvatureEstimator;
MyIICurvatureFunctor curvatureFunctor;
curvatureFunctor.init( h, re );
MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );
curvatureEstimator.attach( K, noisifiedObject );
curvatureEstimator.setParams( re/h );
curvatureEstimator.init( h, ibegin, iend );
std::ostream_iterator< double > out_it_ii_mean( file, "\n" );
curvatureEstimator.eval( ibegin, iend, out_it_ii_mean );
double TIIMeanCurv = c.stopClock();
file << "# time = " << TIIMeanCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
// Integral Invariant Gaussian Curvature
if( properties.at( 1 ) != '0' )
{
trace.beginBlock( "II Gaussian curvature" );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_II_gaussian.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# Gaussian Curvature estimation from the Integral Invariant" << std::endl;
file << "# computed kernel radius = " << re << std::endl;
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
c.startClock();
typedef functors::IIGaussianCurvature3DFunctor<Z3i::Space> MyIICurvatureFunctor;
typedef IntegralInvariantCovarianceEstimator< KSpace, KanungoPredicate, MyIICurvatureFunctor > MyIICurvatureEstimator;
MyIICurvatureFunctor curvatureFunctor;
curvatureFunctor.init( h, re );
MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );
curvatureEstimator.attach( K, noisifiedObject );
curvatureEstimator.setParams( re/h );
curvatureEstimator.init( h, ibegin, iend );
std::ostream_iterator< double > out_it_ii_gaussian( file, "\n" );
curvatureEstimator.eval( ibegin, iend, out_it_ii_gaussian );
double TIIGaussCurv = c.stopClock();
file << "# time = " << TIIGaussCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
// Integral Invariant Principal Curvatures
if( properties.at( 2 ) != '0' )
{
trace.beginBlock( "II Principal curvatures" );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_II_principal.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# Gaussian Curvature estimation from the Integral Invariant" << std::endl;
file << "# computed kernel radius = " << re << std::endl;
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
c.startClock();
typedef functors::IIPrincipalCurvatures3DFunctor<Z3i::Space> MyIICurvatureFunctor;
typedef IntegralInvariantCovarianceEstimator< KSpace, KanungoPredicate, MyIICurvatureFunctor > MyIICurvatureEstimator;
MyIICurvatureFunctor curvatureFunctor;
curvatureFunctor.init( h, re );
MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );
curvatureEstimator.attach( K, noisifiedObject );
curvatureEstimator.setParams( re/h );
curvatureEstimator.init( h, ibegin, iend );
std::vector<PrincipalCurvatures> v_results;
std::back_insert_iterator< std::vector<PrincipalCurvatures> > bkIt(v_results);
curvatureEstimator.eval( ibegin, iend, bkIt );
std::ostream_iterator< std::string > out_it_ii_principal( file, "\n" );
for( unsigned int ii = 0; ii < v_results.size(); ++ii )
{
std::stringstream ss;
ss << v_results[ii].first << " " << v_results[ii].second;
*out_it_ii_principal = ss.str();
++out_it_ii_principal;
}
double TIIGaussCurv = c.stopClock();
file << "# time = " << TIIGaussCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
}
// Monge
if( options.at( 2 ) != '0' )
{
// Monge Mean Curvature
if( properties.at( 0 ) != '0' )
{
trace.beginBlock( "Monge mean curvature" );
typedef functors::MongeJetFittingMeanCurvatureEstimator<Surfel, CanonicSCellEmbedder<KSpace> > FunctorMean;
typedef functors::ConstValue< double > ConvFunctor;
typedef LocalEstimatorFromSurfelFunctorAdapter<typename MyDigitalSurface::DigitalSurfaceContainer, Z3i::L2Metric, FunctorMean, ConvFunctor> ReporterH;
CanonicSCellEmbedder<KSpace> embedder( K );
FunctorMean estimatorH( embedder, h );
ConvFunctor convFunc(1.0);
ReporterH reporterH;
reporterH.attach( surf );
reporterH.setParams( Z3i::l2Metric, estimatorH, convFunc, re/h );
c.startClock();
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
reporterH.init( h , ibegin, iend );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_MongeJetFitting_mean.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# Mean Curvature estimation from CGAL Monge from and Jet Fitting" << std::endl;
file << "# computed kernel radius = " << re << std::endl;
std::ostream_iterator< double > out_it_monge_mean( file, "\n" );
delete range;
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
//typename ReporterH::SurfelConstIterator aabegin = surf.begin();
//typename ReporterH::SurfelConstIterator aaend = surf.end();
reporterH.eval(ibegin, iend, out_it_monge_mean);
double TMongeMeanCurv = c.stopClock();
file << "# time = " << TMongeMeanCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
// Monge Gaussian Curvature
if( properties.at( 1 ) != '0' )
{
trace.beginBlock( "Monge Gaussian curvature" );
typedef functors::MongeJetFittingGaussianCurvatureEstimator<Surfel, CanonicSCellEmbedder<KSpace> > FunctorGaussian;
typedef functors::ConstValue< double > ConvFunctor;
typedef LocalEstimatorFromSurfelFunctorAdapter<typename MyDigitalSurface::DigitalSurfaceContainer, Z3i::L2Metric, FunctorGaussian, ConvFunctor> ReporterK;
CanonicSCellEmbedder<KSpace> embedder( K );
FunctorGaussian estimatorK( embedder, h );
ConvFunctor convFunc(1.0);
ReporterK reporterK;
reporterK.attach( surf );
reporterK.setParams( Z3i::l2Metric, estimatorK, convFunc, re/h );
c.startClock();
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
reporterK.init( h , ibegin, iend );
//typename ReporterK::SurfelConstIterator aaabegin = surf.begin();
//typename ReporterK::SurfelConstIterator aaaend = surf.end();
delete range;
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_MongeJetFitting_gaussian.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# Gaussian Curvature estimation from CGAL Monge from and Jet Fitting" << std::endl;
file << "# computed kernel radius = " << re << std::endl;
std::ostream_iterator< double > out_it_monge_gaussian( file, "\n" );
reporterK.eval(ibegin, iend , out_it_monge_gaussian);
double TMongeGaussCurv = c.stopClock();
file << "# time = " << TMongeGaussCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
// Monge Principal Curvatures
if( properties.at( 2 ) != '0' )
{
trace.beginBlock( "Monge Principal Curvature" );
typedef functors::MongeJetFittingPrincipalCurvaturesEstimator<Surfel, CanonicSCellEmbedder<KSpace> > FunctorPrincCurv;
typedef functors::ConstValue< double > ConvFunctor;
typedef LocalEstimatorFromSurfelFunctorAdapter<typename MyDigitalSurface::DigitalSurfaceContainer, Z3i::L2Metric, FunctorPrincCurv, ConvFunctor> ReporterK;
CanonicSCellEmbedder<KSpace> embedder( K );
FunctorPrincCurv estimatorK( embedder, h );
ConvFunctor convFunc(1.0);
ReporterK reporterK;
reporterK.attach( surf );
reporterK.setParams( Z3i::l2Metric, estimatorK, convFunc, re/h );
c.startClock();
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
reporterK.init( h , ibegin, iend );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_MongeJetFitting_principal.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# Gaussian Curvature estimation from CGAL Monge from and Jet Fitting" << std::endl;
file << "# computed kernel radius = " << re << std::endl;
std::ostream_iterator< std::string > out_it_monge_principal( file, "\n" );
std::vector<PrincipalCurvatures> v_results;
std::back_insert_iterator< std::vector<PrincipalCurvatures> > bkIt(v_results);
delete range;
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
reporterK.eval(ibegin, iend , bkIt);//out_it_monge_principal);
for(unsigned int ii = 0; ii < v_results.size(); ++ii )
{
std::stringstream ss;
ss << v_results[ii].first << " " << v_results[ii].second;
*out_it_monge_principal = ss.str();
++out_it_monge_principal;
}
double TMongeGaussCurv = c.stopClock();
file << "# time = " << TMongeGaussCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
}
}
else // no noise
{
typedef LightImplicitDigitalSurface< KSpace, DigitalShape > Boundary;
typedef DigitalSurface< Boundary > MyDigitalSurface;
typedef typename MyDigitalSurface::ConstIterator ConstIterator;
typedef DepthFirstVisitor< MyDigitalSurface > Visitor;
typedef GraphVisitorRange< Visitor > VisitorRange;
typedef typename VisitorRange::ConstIterator VisitorConstIterator;
// typedef PointFunctorFromPointPredicateAndDomain< DigitalShape, Z3i::Domain, unsigned int > MyPointFunctor;
// typedef FunctorOnCells< MyPointFunctor, KSpace > MySpelFunctor;
// Extracts shape boundary
SCell bel = Surfaces<KSpace>::findABel ( K, dshape, 10000 );
Boundary boundary( K, dshape, SurfelAdjacency< KSpace::dimension >( true ), bel );
MyDigitalSurface surf ( boundary );
VisitorRange * range;
VisitorConstIterator ibegin;
VisitorConstIterator iend;
unsigned int cntIn = 0;
for( typename Z3i::Domain::ConstIterator it = dshape.getDomain().begin(), ite = dshape.getDomain().end(); it != ite; ++it )
{
if( dshape.operator ()(*it))
{
++cntIn;
}
}
std::cout << "boundary:" << surf.size() << std::endl;
std::cout << "full:" << cntIn << std::endl;
// Estimations
Clock c;
// True
if( options.at( 0 ) != '0' )
{
// True Mean Curvature
if( properties.at( 0 ) != '0' )
{
trace.beginBlock( "True mean curvature" );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_True_mean.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# True Mean Curvature estimation" << std::endl;
std::ostream_iterator< double > out_it_true_mean( file, "\n" );
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
c.startClock();
estimateTrueMeanCurvatureQuantity( ibegin,
iend,
out_it_true_mean,
K,
h,
aShape );
double TTrueMeanCurv = c.stopClock();
file << "# time = " << TTrueMeanCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
// True Gaussian Curvature
if( properties.at( 1 ) != '0' )
{
trace.beginBlock( "True Gaussian curvature" );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_True_gaussian.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# True Gaussian Curvature estimation" << std::endl;
std::ostream_iterator< double > out_it_true_gaussian( file, "\n" );
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
c.startClock();
estimateTrueGaussianCurvatureQuantity( ibegin,
iend,
out_it_true_gaussian,
K,
h,
aShape );
double TTrueGaussianCurv = c.stopClock();
file << "# time = " << TTrueGaussianCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
// True Principal Curvatures
if( properties.at( 2 ) != '0' )
{
trace.beginBlock( "True principal curvatures" );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_True_principal.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# True Gaussian Curvature estimation" << std::endl;
std::ostream_iterator< std::string > out_it_true_pc( file, "\n" );
std::vector<PrincipalCurvatures> v_results;
std::back_insert_iterator< std::vector<PrincipalCurvatures> > bkIt(v_results);
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
c.startClock();
estimateTruePrincipalCurvaturesQuantity( ibegin,
iend,
bkIt,// out_it_true_pc,
K,
h,
aShape );
for(unsigned int ii = 0; ii < v_results.size(); ++ii )
{
std::stringstream ss;
ss << v_results[ii].first << " " << v_results[ii].second;
*out_it_true_pc = ss.str();
++out_it_true_pc;
}
double TTruePrincCurv = c.stopClock();
file << "# time = " << TTruePrincCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
}
double re = radius_kernel * std::pow( h, alpha ); // to obtains convergence results, re must follow the rule re=kh^(1/3)
// II
if( options.at( 1 ) != '0' )
{
// Integral Invariant Mean Curvature
if( properties.at( 0 ) != '0' )
{
trace.beginBlock( "II mean curvature" );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_II_mean.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# Mean Curvature estimation from the Integral Invariant" << std::endl;
file << "# computed kernel radius = " << re << std::endl;
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
c.startClock();
typedef functors::IIMeanCurvature3DFunctor<Z3i::Space> MyIICurvatureFunctor;
typedef IntegralInvariantVolumeEstimator< KSpace, DigitalShape, MyIICurvatureFunctor > MyIICurvatureEstimator;
MyIICurvatureFunctor curvatureFunctor;
curvatureFunctor.init( h, re );
MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );
curvatureEstimator.attach( K, dshape );
curvatureEstimator.setParams( re/h );
curvatureEstimator.init( h, ibegin, iend );
std::ostream_iterator< double > out_it_ii_mean( file, "\n" );
curvatureEstimator.eval( ibegin, iend, out_it_ii_mean );
double TIIMeanCurv = c.stopClock();
file << "# time = " << TIIMeanCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
// Integral Invariant Gaussian Curvature
if( properties.at( 1 ) != '0' )
{
trace.beginBlock( "II Gaussian curvature" );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_II_gaussian.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# Gaussian Curvature estimation from the Integral Invariant" << std::endl;
file << "# computed kernel radius = " << re << std::endl;
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
c.startClock();
typedef functors::IIGaussianCurvature3DFunctor<Z3i::Space> MyIICurvatureFunctor;
typedef IntegralInvariantCovarianceEstimator< KSpace, DigitalShape, MyIICurvatureFunctor > MyIICurvatureEstimator;
MyIICurvatureFunctor curvatureFunctor;
curvatureFunctor.init( h, re );
MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );
curvatureEstimator.attach( K, dshape );
curvatureEstimator.setParams( re/h );
curvatureEstimator.init( h, ibegin, iend );
std::ostream_iterator< double > out_it_ii_gaussian( file, "\n" );
curvatureEstimator.eval( ibegin, iend, out_it_ii_gaussian );
double TIIGaussCurv = c.stopClock();
file << "# time = " << TIIGaussCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
// Integral Invariant Principal Curvatures
if( properties.at( 2 ) != '0' )
{
trace.beginBlock( "II Principal curvatures" );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_II_principal.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# Gaussian Curvature estimation from the Integral Invariant" << std::endl;
file << "# computed kernel radius = " << re << std::endl;
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
c.startClock();
typedef functors::IIPrincipalCurvatures3DFunctor<Z3i::Space> MyIICurvatureFunctor;
typedef IntegralInvariantCovarianceEstimator< KSpace, DigitalShape, MyIICurvatureFunctor > MyIICurvatureEstimator;
MyIICurvatureFunctor curvatureFunctor;
curvatureFunctor.init( h, re );
MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );
curvatureEstimator.attach( K, dshape );
curvatureEstimator.setParams( re/h );
curvatureEstimator.init( h, ibegin, iend );
std::vector<PrincipalCurvatures> v_results;
std::back_insert_iterator< std::vector<PrincipalCurvatures> > bkIt(v_results);
curvatureEstimator.eval( ibegin, iend, bkIt );
std::ostream_iterator< std::string > out_it_ii_principal( file, "\n" );
for( unsigned int ii = 0; ii < v_results.size(); ++ii )
{
std::stringstream ss;
ss << v_results[ii].first << " " << v_results[ii].second;
*out_it_ii_principal = ss.str();
++out_it_ii_principal;
}
double TIIGaussCurv = c.stopClock();
file << "# time = " << TIIGaussCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
}
// Monge
if( options.at( 2 ) != '0' )
{
// Monge Mean Curvature
if( properties.at( 0 ) != '0' )
{
trace.beginBlock( "Monge mean curvature" );
typedef functors::MongeJetFittingMeanCurvatureEstimator<Surfel, CanonicSCellEmbedder<KSpace> > FunctorMean;
typedef functors::ConstValue< double > ConvFunctor;
typedef LocalEstimatorFromSurfelFunctorAdapter<typename MyDigitalSurface::DigitalSurfaceContainer, Z3i::L2Metric, FunctorMean, ConvFunctor> ReporterH;
CanonicSCellEmbedder<KSpace> embedder( K );
FunctorMean estimatorH( embedder, h );
ConvFunctor convFunc(1.0);
ReporterH reporterH;
reporterH.attach( surf );
reporterH.setParams( Z3i::l2Metric, estimatorH, convFunc, re/h );
c.startClock();
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
reporterH.init( h , ibegin, iend );
char full_filename[360];
sprintf( full_filename, "%s%s", filename.c_str(), "_MongeJetFitting_mean.dat" );
std::ofstream file( full_filename );
file << "# h = " << h << std::endl;
file << "# Mean Curvature estimation from CGAL Monge from and Jet Fitting" << std::endl;
file << "# computed kernel radius = " << re << std::endl;
std::ostream_iterator< double > out_it_monge_mean( file, "\n" );
delete range;
range = new VisitorRange( new Visitor( surf, *surf.begin() ));
ibegin = range->begin();
iend = range->end();
reporterH.eval(ibegin, iend , out_it_monge_mean);
double TMongeMeanCurv = c.stopClock();
file << "# time = " << TMongeMeanCurv << std::endl;
file.close();
delete range;
trace.endBlock();
}
// Monge Gaussian Curvature
if( properties.at( 1 ) != '0' )
{
trace.beginBlock( "Monge Gaussian curvature" );
typedef functors::MongeJetFittingGaussianCurvatureEstimator<Surfel, CanonicSCellEmbedder<KSpace> > FunctorGaussian;
typedef functors::ConstValue< double > ConvFunctor;