DGtal 1.3.0
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Given a domain and a predicate telling whether we are inside or outside the object of interest, it is easy to determine the set of surfels by a simple scanning of the space. This is done for you by static methods Surfaces::uMakeBoundary and Surfaces::sMakeBoundary.

See also
Constructing digital surfaces by scanning

On the lobser.vol volume, volScanBoundary.cpp extracts 155068 surfels in 3866ms

* # Commands
* $ ./examples/topology/volScanBoundary ../examples/samples/lobster.vol 50 255
Digital surface that is the boundary of a (6,18)-connected component in image lo bster.vol, extracted by scanning the whole space in 3866ms.
#include <iostream>
#include <queue>
#include "DGtal/helpers/StdDefs.h"
#include "DGtal/io/readers/VolReader.h"
#include "DGtal/io/DrawWithDisplay3DModifier.h"
#include "DGtal/io/Color.h"
#include "DGtal/images/ImageSelector.h"
#include "DGtal/images/imagesSetsUtils/SetFromImage.h"
#include "DGtal/shapes/Shapes.h"
#include "DGtal/topology/helpers/Surfaces.h"
#include "DGtal/io/viewers/Viewer3D.h"
using namespace std;
using namespace DGtal;
using namespace Z3i;
void usage( int, char** argv )
std::cerr << "Usage: " << argv[ 0 ] << " <fileName.vol> <minT> <maxT>" << std::endl;
std::cerr << "\t - displays the boundary of the shape stored in vol file <fileName.vol>." << std::endl;
std::cerr << "\t - voxel v belongs to the shape iff its value I(v) follows minT <= I(v) <= maxT." << std::endl;
int main( int argc, char** argv )
if ( argc < 4 )
usage( argc, argv );
return 1;
std::string inputFilename = argv[ 1 ];
unsigned int minThreshold = atoi( argv[ 2 ] );
unsigned int maxThreshold = atoi( argv[ 3 ] );
trace.beginBlock( "Reading vol file into an image." );
typedef ImageSelector < Domain, int>::Type Image;
Image image = VolReader<Image>::importVol(inputFilename);
DigitalSet set3d (image.domain());
minThreshold, maxThreshold);
trace.beginBlock( "Construct the Khalimsky space from the image domain." );
KSpace ks;
bool space_ok = ks.init( image.domain().lowerBound(),
image.domain().upperBound(), true );
if (!space_ok)
trace.error() << "Error in the Khamisky space construction."<<std::endl;
return 2;
trace.beginBlock( "Extracting boundary by scanning the space. " );
KSpace::SCellSet boundary;
Surfaces<KSpace>::sMakeBoundary( boundary, ks, set3d,
image.domain().upperBound() );
trace.beginBlock( "Displaying surface in Viewer3D." );
QApplication application(argc,argv);
Viewer3D<> viewer( ks );
KSpace::SCell dummy_scell;
viewer << SetMode3D( dummy_scell.className(), "Basic" );
viewer << CustomColors3D(Color(250, 0, 0 ), Color( 128, 128, 128 ) );
unsigned long nbSurfels = 0;
for ( KSpace::SCellSet::const_iterator it = boundary.begin(),
it_end = boundary.end(); it != it_end; ++it, ++nbSurfels )
viewer << *it;
viewer << Viewer3D<>::updateDisplay;
trace.info() << "nb surfels = " << nbSurfels << std::endl;
return application.exec();
Structure representing an RGB triple with alpha component.
Definition: Color.h:68
Aim: A utility class for constructing surfaces (i.e. set of (n-1)-cells).
Definition: Surfaces.h:79
void beginBlock(const std::string &keyword="")
std::ostream & error()
std::ostream & info()
double endBlock()
DGtal is the top-level namespace which contains all DGtal functions and types.
Trace trace
Definition: Common.h:154
STL namespace.
Aim: Define utilities to convert a digital set into an image.
Definition: SetFromImage.h:64
Modifier class in a Display3D stream. Useful to choose your own mode for a given class....
Aim: implements methods to read a "Vol" file format.
Definition: VolReader.h:90
int main()
Definition: testBits.cpp:56
ImageContainerBySTLVector< Domain, Value > Image
Z2i::DigitalSet DigitalSet