bool
compareShapeEstimators( const string & name,
Shape & aShape,
double h )
{
// Types
typedef typename Space::Point Point;
typedef typename Space::Vector Vector;
typedef typename Space::RealPoint RealPoint;
typedef typename Space::Integer Integer;
typedef HyperRectDomain<Space> Domain;
typedef KhalimskySpaceND<Space::dimension,Integer> KSpace;
typedef typename KSpace::SCell SCell;
typedef typename GridCurve<KSpace>::PointsRange PointsRange;
typedef typename GridCurve<KSpace>::ArrowsRange ArrowsRange;
typedef typename PointsRange::ConstIterator ConstIteratorOnPoints;
// Digitizer
GaussDigitizer<Space,Shape> dig;
dig.attach( aShape ); // attaches the shape.
Vector vlow(-1,-1); Vector vup(1,1);
dig.init( aShape.getLowerBound()+vlow, aShape.getUpperBound()+vup, h );
Domain domain = dig.getDomain();
// Create cellular space
KSpace K;
bool ok = K.init( dig.getLowerBound(), dig.getUpperBound(), true );
if ( ! ok )
{
std::cerr << "[compareShapeEstimators]"
<< " error in creating KSpace." << std::endl;
return false;
}
try {
// Extracts shape boundary
SurfelAdjacency<KSpace::dimension> SAdj( true );
SCell bel = Surfaces<KSpace>::findABel( K, dig, 10000 );
// Getting the consecutive surfels of the 2D boundary
std::vector<Point> points;
Surfaces<KSpace>::track2DBoundaryPoints( points, K, SAdj, dig, bel );
// Create GridCurve
GridCurve<KSpace> gridcurve;
gridcurve.initFromVector( points );
// Ranges
PointsRange r = gridcurve.getPointsRange();
std::cout << "# range size = " << r.size() << std::endl;
// Estimations
// True values
std::cout << "# True values computation" << std::endl;
typedef ParametricShapeTangentFunctor< Shape > TangentFunctor;
typedef ParametricShapeCurvatureFunctor< Shape > CurvatureFunctor;
TrueLocalEstimatorOnPoints< ConstIteratorOnPoints, Shape, TangentFunctor >
trueTangentEstimator;
TrueLocalEstimatorOnPoints< ConstIteratorOnPoints, Shape, CurvatureFunctor >
trueCurvatureEstimator;
trueTangentEstimator.init( h, r.begin(), r.end(), &aShape, gridcurve.isClosed());
std::vector<RealPoint> trueTangents =
estimateQuantity( trueTangentEstimator, r.begin(), r.end() );
trueCurvatureEstimator.init( h, r.begin(), r.end(), &aShape, gridcurve.isClosed());
std::vector<double> trueCurvatures =
estimateQuantity( trueCurvatureEstimator, r.begin(), r.end() );
// Maximal Segments
std::cout << "# Maximal DSS tangent estimation" << std::endl;
typedef ArithmeticalDSS<ConstIteratorOnPoints,Integer,4> SegmentComputer;
typedef TangentFromDSSFunctor<SegmentComputer> SCFunctor;
SegmentComputer sc;
SCFunctor f;
MostCenteredMaximalSegmentEstimator<SegmentComputer,SCFunctor> MSTangentEstimator(sc, f);
Clock c;
c.startClock();
MSTangentEstimator.init( h, r.begin(), r.end(), gridcurve.isClosed() );
std::vector<typename SCFunctor::Value> MSTangents =
estimateQuantity( MSTangentEstimator, r.begin(), r.end() );
double TMST = c.stopClock();
// Binomial
std::cout << "# Tangent and curvature estimation from binomial convolution" << std::endl;
typedef BinomialConvolver<ConstIteratorOnPoints, double> MyBinomialConvolver;
std::cout << "# mask size = " <<
MyBinomialConvolver::suggestedSize( h, r.begin(), r.end() ) << std::endl;
typedef TangentFromBinomialConvolverFunctor< MyBinomialConvolver, RealPoint >
TangentBCFct;
typedef CurvatureFromBinomialConvolverFunctor< MyBinomialConvolver, double >
CurvatureBCFct;
BinomialConvolverEstimator< MyBinomialConvolver, TangentBCFct> BCTangentEstimator;
BinomialConvolverEstimator< MyBinomialConvolver, CurvatureBCFct> BCCurvatureEstimator;
c.startClock();
BCTangentEstimator.init( h, r.begin(), r.end(), gridcurve.isClosed() );
std::vector<RealPoint> BCTangents =
estimateQuantity( BCTangentEstimator, r.begin(), r.end() );
double TBCTan = c.stopClock();
c.startClock();
BCCurvatureEstimator.init( h, r.begin(), r.end(), gridcurve.isClosed() );
std::vector<double> BCCurvatures =
estimateQuantity( BCCurvatureEstimator, r.begin(), r.end() );
double TBCCurv = c.stopClock();
// Output
std::cout << "# Shape = "<< name <<std::endl
<< "# Time-BCtangent = "<<TBCTan <<std::endl
<< "# Time-BCcurvature = "<<TBCCurv<<std::endl
<< "# Time-MStangent = "<<TMST<<std::endl
<< "# id x y tangentx tangenty curvature"
<< " BCtangentx BCtangenty BCcurvature"
<< " MStangentx MStangenty"
<< std::endl;
unsigned int i = 0;
for ( ConstIteratorOnPoints it = r.begin(), it_end = r.end();
it != it_end; ++it, ++i )
{
Point p = *it;
std::cout << i << setprecision( 15 )
<< " " << p[ 0 ] << " " << p[ 1 ]
<< " " << trueTangents[ i ][ 0 ]
<< " " << trueTangents[ i ][ 1 ]
<< " " << trueCurvatures[ i ]
<< " " << BCTangents[ i ][ 0 ]
<< " " << BCTangents[ i ][ 1 ]
<< " " << BCCurvatures[ i ]
<< " " << MSTangents[ i ][ 0 ]
<< " " << MSTangents[ i ][ 1 ]
<< std::endl;
}
return true;
}
catch ( InputException e )
{
std::cerr << "[compareShapeEstimators]"
<< " error in finding a bel." << std::endl;
return false;
}
}
bool
lengthEstimators( const std::string & /*name*/,
Shape & aShape,
double h )
{
// Types
typedef typename Space::Point Point;
typedef typename Space::Vector Vector;
typedef typename Space::RealPoint RealPoint;
typedef typename Space::Integer Integer;
typedef HyperRectDomain<Space> Domain;
typedef KhalimskySpaceND<Space::dimension,Integer> KSpace;
typedef typename KSpace::SCell SCell;
typedef typename GridCurve<KSpace>::PointsRange PointsRange;
typedef typename GridCurve<KSpace>::ArrowsRange ArrowsRange;
// Digitizer
GaussDigitizer<Space,Shape> dig;
dig.attach( aShape ); // attaches the shape.
Vector vlow(-1,-1); Vector vup(1,1);
dig.init( aShape.getLowerBound()+vlow, aShape.getUpperBound()+vup, h );
Domain domain = dig.getDomain();
// Create cellular space
KSpace K;
bool ok = K.init( dig.getLowerBound(), dig.getUpperBound(), true );
if ( ! ok )
{
std::cerr << "[lengthEstimators]"
<< " error in creating KSpace." << std::endl;
return false;
}
try {
// Extracts shape boundary
SurfelAdjacency<KSpace::dimension> SAdj( true );
SCell bel = Surfaces<KSpace>::findABel( K, dig, 10000 );
// Getting the consecutive surfels of the 2D boundary
std::vector<Point> points;
Surfaces<KSpace>::track2DBoundaryPoints( points, K, SAdj, dig, bel );
// Create GridCurve
GridCurve<KSpace> gridcurve;
gridcurve.initFromVector( points );
// Ranges
ArrowsRange ra = gridcurve.getArrowsRange();
PointsRange rp = gridcurve.getPointsRange();
// Estimations
typedef typename PointsRange::ConstIterator ConstIteratorOnPoints;
typedef ParametricShapeArcLengthFunctor< Shape > Length;
TrueGlobalEstimatorOnPoints< ConstIteratorOnPoints, Shape, Length > trueLengthEstimator;
trueLengthEstimator.init( h, rp.begin(), rp.end(), &aShape, gridcurve.isClosed());
L1LengthEstimator< typename ArrowsRange::ConstCirculator > l1length;
DSSLengthEstimator< typename PointsRange::ConstCirculator > DSSlength;
MLPLengthEstimator< typename PointsRange::ConstIterator > MLPlength;
FPLengthEstimator< typename PointsRange::ConstIterator > FPlength;
BLUELocalLengthEstimator< typename ArrowsRange::ConstIterator > BLUElength;
RosenProffittLocalLengthEstimator< typename ArrowsRange::ConstIterator > RosenProffittlength;
// Output
double trueValue = trueLengthEstimator.eval();
double l1, blue, rosen,dss,mlp,fp;
double Tl1, Tblue, Trosen,Tdss,Tmlp,Tfp;
Clock c;
//Length evaluation & timing
c.startClock();
l1length.init(h, ra.c(), ra.c());
l1 = l1length.eval();
Tl1 = c.stopClock();
c.startClock();
BLUElength.init(h, ra.begin(), ra.end(), gridcurve.isClosed());
blue = BLUElength.eval();
Tblue = c.stopClock();
c.startClock();
RosenProffittlength.init(h, ra.begin(), ra.end(), gridcurve.isClosed());
rosen = RosenProffittlength.eval();
Trosen = c.stopClock();
c.startClock();
DSSlength.init(h, rp.c(), rp.c());
dss = DSSlength.eval();
Tdss = c.stopClock();
c.startClock();
MLPlength.init(h, rp.begin(), rp.end(), gridcurve.isClosed());
mlp = MLPlength.eval();
Tmlp = c.stopClock();
c.startClock();
FPlength.init(h, rp.begin(), rp.end(), gridcurve.isClosed());
fp = FPlength.eval();
Tfp = c.stopClock();
std::cout << std::setprecision( 15 ) << h << " " << rp.size() << " " << trueValue
<< " " << l1
<< " " << blue
<< " " << rosen
<< " " << dss
<< " " << mlp
<< " " << fp
<< " " << Tl1
<< " " << Tblue
<< " " << Trosen
<< " " << Tdss
<< " " << Tmlp
<< " " << Tfp
<< std::endl;
return true;
}
catch ( InputException e )
{
std::cerr << "[lengthEstimators]"
<< " error in finding a bel." << std::endl;
return false;
}
}