DGtal 1.3.0
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Marching-cube like surface extracted using the combinatorial manifold structure of digital surfaces.

See also
Application to export surface in OFF format
* # Commands
* $ ./examples/topology/volMarchingCubes  ../examples/samples/Al.100.vol 0 1 0 
Marching-cube surface of Al.100.vol file.
#include <iostream>
#include <queue>
#include "DGtal/base/Common.h"
#include "DGtal/kernel/CanonicEmbedder.h"
#include "DGtal/io/readers/VolReader.h"
#include "DGtal/images/ImageSelector.h"
#include "DGtal/images/imagesSetsUtils/SetFromImage.h"
#include "DGtal/images/ImageLinearCellEmbedder.h"
#include "DGtal/shapes/Shapes.h"
#include "DGtal/helpers/StdDefs.h"
#include "DGtal/topology/helpers/Surfaces.h"
#include "DGtal/topology/DigitalSurface.h"
#include "DGtal/topology/SetOfSurfels.h"
using namespace std;
using namespace DGtal;
using namespace Z3i;
void usage( int, char** argv )
std::cerr << "Usage: " << argv[ 0 ] << " <fileName.vol> <minT> <maxT> <Adj>" << 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;
std::cerr << "\t - 0: interior adjacency, 1: exterior adjacency." << std::endl;
int main( int argc, char** argv )
if ( argc < 5 )
usage( argc, argv );
return 1;
std::string inputFilename = argv[ 1 ];
unsigned int minThreshold = atoi( argv[ 2 ] );
unsigned int maxThreshold = atoi( argv[ 3 ] );
bool intAdjacency = atoi( argv[ 4 ] ) == 0;
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;
typedef SurfelAdjacency<KSpace::dimension> MySurfelAdjacency;
MySurfelAdjacency surfAdj( intAdjacency ); // interior in all directions.
trace.beginBlock( "Extracting boundary by scanning the space. " );
typedef KSpace::SurfelSet SurfelSet;
typedef SetOfSurfels< KSpace, SurfelSet > MySetOfSurfels;
MySetOfSurfels theSetOfSurfels( ks, surfAdj );
Surfaces<KSpace>::sMakeBoundary( theSetOfSurfels.surfelSet(),
ks, set3d,
image.domain().upperBound() );
MyDigitalSurface digSurf( theSetOfSurfels );
trace.info() << "Digital surface has " << digSurf.size() << " surfels."
<< std::endl;
trace.beginBlock( "Making OFF surface <marching-cube.off>. " );
typedef CanonicEmbedder< Space > MyEmbedder;
CellEmbedder cellEmbedder;
MyEmbedder trivialEmbedder;
// The +0.5 is to avoid isosurface going exactly through a voxel
// center, especially for binary volumes.
cellEmbedder.init( ks, image, trivialEmbedder,
( (double) minThreshold ) + 0.5 );
ofstream out( "marching-cube.off" );
if ( out.good() )
digSurf.exportEmbeddedSurfaceAs3DOFF( out, cellEmbedder );
return 0;
Aim: Represents a set of n-1-cells in a nD space, together with adjacency relation between these cell...
Aim: a cellular embedder for images. (default constructible, copy constructible, assignable)....
void init(ConstAlias< KSpace > K, ConstAlias< Image > f, ConstAlias< Embedder > e, double iso_value)
Aim: A model of CDigitalSurfaceContainer which defines the digital surface as connected surfels....
Definition: SetOfSurfels.h:74
Aim: A utility class for constructing surfaces (i.e. set of (n-1)-cells).
Definition: Surfaces.h:79
Aim: Represent adjacencies between surfel elements, telling if it follows an interior to exterior ord...
void beginBlock(const std::string &keyword="")
std::ostream & error()
std::ostream & info()
double endBlock()
DigitalSurface< MyDigitalSurfaceContainer > MyDigitalSurface
MyDigitalSurface::SurfelSet SurfelSet
DGtal is the top-level namespace which contains all DGtal functions and types.
Trace trace
Definition: Common.h:154
STL namespace.
Aim: A trivial embedder for digital points, which corresponds to the canonic injection of Zn into Rn.
Aim: Define utilities to convert a digital set into an image.
Definition: SetFromImage.h:64
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