DGtal  0.9.4beta
geometry/volumes/distance/toricdomainvolumetric.cpp

Example of a toric distance transform construction in dimension 2 for the Euclidean metric.

See also
Volumetric Analysis on Toric domains
#include <iostream>
#include <iomanip>
#include "DGtal/base/Common.h"
#include "DGtal/helpers/StdDefs.h"
#include "DGtal/io/colormaps/GrayscaleColorMap.h"
#include "DGtal/io/colormaps/HueShadeColorMap.h"
#include "DGtal/io/colormaps/TickedColorMap.h"
#include "DGtal/io/colormaps/GradientColorMap.h"
#include "DGtal/io/boards/Board2D.h"
#include "DGtal/images/ImageSelector.h"
#include "DGtal/images/SimpleThresholdForegroundPredicate.h"
#include "DGtal/geometry/volumes/distance/DistanceTransformation.h"
int main()
{
using namespace std;
using namespace DGtal;
using namespace Z2i;
Point a ( 0, 0 );
Point b ( 32, 16);
//Input image with unsigned char values
Image image ( Domain(a, b ));
//We fill the image with the 128 value
for ( Image::Iterator it = image.begin(), itend = image.end();it != itend; ++it)
(*it)=128;
//We add 3 seeds with 0 values.
image.setValue(Point(16,2), 0);
image.setValue(Point(2,11), 0);
image.setValue(Point(30,15), 0);
trace.beginBlock ( "Example toricdomainvolumetric" );
//Input shape output
Board2D board;
Display2DFactory::drawImage<Gray>(board, image, (unsigned int)0, (unsigned int)129);
board.saveSVG("toric-inputShape.svg");
//Point Predicate from random seed image
PointPredicate predicate(image,0);
//Regular 2D domain
DTL2 dtL2(image.domain(), predicate, l2Metric);
//Full toric 2D domain
DTL2Toric dtL2Toric(image.domain(), predicate, l2Metric, {{true, true}} );
// 2D domain that is periodic along the first dimension.
DTL2ToricX dtL2ToricX( image.domain(), predicate, l2Metric, {{true, false}} );
// 2D domain that is periodic along the second dimension.
DTL2ToricY dtL2ToricY( image.domain(), predicate, l2Metric, {{false, true}} );
//We compute the maximum DT value on the L2 map
const DTL2::Value maxv2 = * (std::max_element(dtL2.constRange().begin(), dtL2.constRange().end()));
const DTL2Toric::Value maxvtoric = * (std::max_element(dtL2Toric.constRange().begin(), dtL2Toric.constRange().end()));
const DTL2ToricX::Value maxvtoricX = * (std::max_element(dtL2ToricX.constRange().begin(), dtL2ToricX.constRange().end()));
const DTL2ToricY::Value maxvtoricY = * (std::max_element(dtL2ToricY.constRange().begin(), dtL2ToricY.constRange().end()));
// Color map based on the maximal value for all maps (in order to compare results with similar colors).
const auto maxvall = std::max( { maxv2, maxvtoric, maxvtoricX, maxvtoricY } );
//Colormap used for the SVG output
trace.warning() << "DT maxValue= " << maxv2 << endl;
board.clear();
Display2DFactory::drawImage<HueTwice>(board, dtL2, 0.0, maxvall + 1);
board.saveSVG ( "toric-example-DT-L2.svg" );
trace.warning() << "Full toric maxValue= " << maxvtoric << endl;
board.clear();
Display2DFactory::drawImage<HueTwice>(board, dtL2Toric, 0.0, maxvall + 1);
board.saveSVG ( "toric-example-DT-L2-toric.svg" );
trace.warning() << "1th dimension periodic maxValue= " << maxvtoricX << endl;
board.clear();
Display2DFactory::drawImage<HueTwice>(board, dtL2ToricX, 0.0, maxvall + 1);
board.saveSVG ( "toric-example-DT-L2-toricX.svg" );
trace.warning() << "2nd dimension periodic maxValue= " << maxvtoricY << endl;
board.clear();
Display2DFactory::drawImage<HueTwice>(board, dtL2ToricY, 0.0, maxvall + 1);
board.saveSVG ( "toric-example-DT-L2-toricY.svg" );
//Explicit export with ticked colormap
//We compute the maximum DT value on the L2 map
TickedColorMap<double, GradientColorMap<double> > ticked(0.0,maxv2, Color::White);
ticked.addRegularTicks(3, 0.5);
ticked.finalize();
ticked.colormap()->addColor( Color::Red );
ticked.colormap()->addColor( Color::Black );
board.clear();
for ( auto it = dtL2.domain().begin(), itend = dtL2.domain().end();it != itend; ++it)
{
board<< CustomStyle((*it).className(),new CustomColors(ticked(dtL2(*it)),ticked(dtL2(*it))));
board << *it;
}
board.saveSVG("toric-example-DT-L2-ticked.svg");
board.clear();
for ( auto it = dtL2Toric.domain().begin(), itend = dtL2Toric.domain().end();it != itend; ++it)
{
board<< CustomStyle((*it).className(),new CustomColors(ticked(dtL2Toric(*it)),ticked(dtL2Toric(*it))));
board << *it;
}
board.saveSVG("toric-example-DT-L2-ticked-toric.svg");
board.clear();
for ( auto it = dtL2ToricX.domain().begin(), itend = dtL2ToricX.domain().end();it != itend; ++it)
{
board<< CustomStyle((*it).className(),new CustomColors(ticked(dtL2ToricX(*it)),ticked(dtL2ToricX(*it))));
board << *it;
}
board.saveSVG("toric-example-DT-L2-ticked-toricX.svg");
board.clear();
for ( auto it = dtL2ToricY.domain().begin(), itend = dtL2ToricY.domain().end();it != itend; ++it)
{
board<< CustomStyle((*it).className(),new CustomColors(ticked(dtL2ToricY(*it)),ticked(dtL2ToricY(*it))));
board << *it;
}
board.saveSVG("toric-example-DT-L2-ticked-toricY.svg");
//Voronoi vector output
board.clear();
board << dtL2.domain();
for ( auto it = dtL2.domain().begin(), itend = dtL2.domain().end();it != itend; ++it)
if ( dtL2.getVoronoiVector(*it) != *it )
Display2DFactory::draw(board,dtL2.getVoronoiVector(*it) - (*it), (*it));
board.saveSVG("toric-example-Voro-L2.svg");
board.clear();
board << dtL2Toric.domain();
for ( auto it = dtL2Toric.domain().begin(), itend = dtL2Toric.domain().end();it != itend; ++it)
if ( dtL2Toric.getVoronoiVector(*it) != *it )
Display2DFactory::draw(board, dtL2Toric.getVoronoiVector(*it) - (*it), (*it));
board.saveSVG("toric-example-Voro-L2-toric.svg");
board.clear();
board << dtL2Toric.domain();
for ( auto it = dtL2Toric.domain().begin(), itend = dtL2Toric.domain().end();it != itend; ++it)
if ( dtL2Toric.getVoronoiVector(*it) != *it )
Display2DFactory::draw(board, dtL2Toric.projectPoint(dtL2Toric.getVoronoiVector(*it)) - (*it), (*it));
board.saveSVG("toric-example-Voro-L2-toric-projected.svg");
board.clear();
board << dtL2ToricX.domain();
for ( auto it = dtL2ToricX.domain().begin(), itend = dtL2ToricX.domain().end();it != itend; ++it)
if ( dtL2ToricX.getVoronoiVector(*it) != *it )
Display2DFactory::draw(board, dtL2ToricX.getVoronoiVector(*it) - (*it), (*it));
board.saveSVG("toric-example-Voro-L2-toricX.svg");
board.clear();
board << dtL2ToricY.domain();
for ( auto it = dtL2ToricY.domain().begin(), itend = dtL2ToricY.domain().end();it != itend; ++it)
if ( dtL2ToricY.getVoronoiVector(*it) != *it )
Display2DFactory::draw(board, dtL2ToricY.getVoronoiVector(*it) - (*it), (*it));
board.saveSVG("toric-example-Voro-L2-toricY.svg");
return 0;
}
// //