DGtal  1.1.0
geometry/volumes/distance/toricdomainvolumetric.cpp

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

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/TickedColorMap.h"
#include "DGtal/io/boards/Board2D.h"
#include "DGtal/images/ImageSelector.h"
#include "DGtal/images/SimpleThresholdForegroundPredicate.h"
#include "DGtal/geometry/volumes/distance/DistanceTransformation.h"
#include <boost/algorithm/minmax_element.hpp>
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 = * (boost::first_max_element(dtL2.constRange().begin(), dtL2.constRange().end()));
const DTL2Toric::Value maxvtoric = * (boost::first_max_element(dtL2Toric.constRange().begin(), dtL2Toric.constRange().end()));
const DTL2ToricX::Value maxvtoricX = * (boost::first_max_element(dtL2ToricX.constRange().begin(), dtL2ToricX.constRange().end()));
const DTL2ToricY::Value maxvtoricY = * (boost::first_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
ticked.finalize();
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;
}
// //
LibBoard::Board::setUnit
void setUnit(Unit unit)
Definition: Board.cpp:240
DGtal::GrayscaleColorMap
Aim: This class template may be used to (linearly) convert scalar values in a given range into gray l...
Definition: GrayscaleColorMap.h:94
image
Image image(domain)
DGtal::Trace::endBlock
double endBlock()
max
int max(int a, int b)
Definition: testArithmeticalDSS.cpp:1108
LibBoard::Board::UCentimeter
@ UCentimeter
Definition: Board.h:43
DGtal::TickedColorMap
Aim: This class adapts any colormap to add "ticks" in the colormap colors.
Definition: TickedColorMap.h:79
Aim: This class template may be used to (linearly) convert scalar values in a given range into a colo...
DGtal::trace
Trace trace
Definition: Common.h:150
DGtal::Trace::beginBlock
void beginBlock(const std::string &keyword="")
DGtal::CustomStyle
Definition: Board2D.h:217
Image
ImageContainerBySTLVector< Domain, Value > Image
Definition: testSimpleRandomAccessRangeFromPoint.cpp:45
draw
void draw(const Iterator &itb, const Iterator &ite, Board &aBoard)
Definition: testSegmentation.cpp:75
DGtal
DGtal is the top-level namespace which contains all DGtal functions and types.
Definition: ClosedIntegerHalfPlane.h:49
Domain
HyperRectDomain< Space > Domain
Definition: testSimpleRandomAccessRangeFromPoint.cpp:44
DGtal::CustomColors
Custom style class redefining the pen color and the fill color. You may use Board2D::Color::None for ...
Definition: Board2D.h:279
DGtal::ImageContainerBySTLVector< Domain, Value >::Iterator
std::vector< Value >::iterator Iterator
Definition: ImageContainerBySTLVector.h:262
LibBoard::Board::saveSVG
void saveSVG(const char *filename, PageSize size=Board::BoundingBox, double margin=10.0) const
Definition: Board.cpp:1012
main
int main(int argc, char **argv)
Definition: testArithmeticDSS-benchmark.cpp:147
DGtal::Board2D
Aim: This class specializes a 'Board' class so as to display DGtal objects more naturally (with <<)....
Definition: Board2D.h:71
DGtal::Image
Aim: implements association bewteen points lying in a digital domain and values.
Definition: Image.h:70
DGtal::DistanceTransformation
Aim: Implementation of the linear in time distance transformation for separable metrics.
Definition: DistanceTransformation.h:100
DGtal::Trace::warning
std::ostream & warning()
Point
MyPointD Point
Definition: testClone2.cpp:383
Value
double Value
Definition: testSimpleRandomAccessRangeFromPoint.cpp:38
DGtal::functors::SimpleThresholdForegroundPredicate
Aim: Define a simple Foreground predicate thresholding image values given a single thresold....
Definition: SimpleThresholdForegroundPredicate.h:66