DGtal  1.5.beta
exampleRationalBallQuickHull3D.cpp
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1 
53 #include "DGtal/base/Common.h"
55 #include "DGtal/geometry/tools/QuickHull.h"
57 #include "DGtal/shapes/SurfaceMesh.h"
58 #include "DGtal/io/writers/SurfaceMeshWriter.h"
59 
60 double rand01() { return (double) rand() / (double) RAND_MAX; }
61 
62 using namespace DGtal::Z3i;
63 int main( int argc, char* argv[] )
64 {
65  int nb = argc > 1 ? atoi( argv[ 1 ] ) : 100; // nb points
66  double R = argc > 2 ? atof( argv[ 2 ] ) : 10.0; // radius of ball
67  double precision = argc > 3 ? atof( argv[ 3 ] ) : 1024.0; // precision
68  // (0) typedefs
73  // (1) create range of random points in ball
74  std::vector< RealPoint > V;
75  const double R2 = R * R;
76  for ( int i = 0; i < nb; ) {
77  RealPoint p( rand01()*2.0*R - R, rand01()*2.0*R - R, rand01()*2.0*R - R );
78  if ( p.squaredNorm() < R2 ) { V.push_back( p ); i++; }
79  }
80  // (2) compute convex hull
82  Kernel3D kernel( precision );
83  QuickHull3D hull( kernel );
84  hull.setInput( V );
85  hull.computeConvexHull();
86  std::cout << "#points=" << hull.nbPoints()
87  << " #vertices=" << hull.nbVertices()
88  << " #facets=" << hull.nbFacets() << std::endl;
91  double total_time = 0;
92  std::for_each( hull.timings.cbegin(), hull.timings.cend(),
93  [&total_time] ( double t ) { total_time += t; } );
94  std::cout << "purge duplicates= " << round(hull.timings[ 0 ]) << " ms." << std::endl;
95  std::cout << "init simplex = " << round(hull.timings[ 1 ]) << " ms." << std::endl;
96  std::cout << "quickhull core = " << round(hull.timings[ 2 ]) << " ms." << std::endl;
97  std::cout << "compute vertices= " << round(hull.timings[ 3 ]) << " ms." << std::endl;
98  std::cout << "total time = " << round(total_time) << " ms." << std::endl;
100  // (3) build mesh
102  std::vector< RealPoint > positions;
103  hull.getVertexPositions( positions );
104  std::vector< std::vector< std::size_t > > facets;
105  hull.getFacetVertices( facets );
107  SMesh mesh( positions.cbegin(), positions.cend(), facets.cbegin(), facets.cend() );
109  // (4) output result as OBJ file
111  std::ofstream out( "qhull.obj" );
113  out.close();
115  return 0;
116 }
117 
Aim: Implements basic operations that will be used in Point and Vector classes.
Definition: PointVector.h:593
int main(int argc, char *argv[])
double rand01()
[QuickHull3D-Includes]
SurfaceMesh< RealPoint, RealVector > SMesh
Z3i this namespace gathers the standard of types for 3D imagery.
Aim: a geometric kernel to compute the convex hull of digital points with integer-only arithmetic.
Aim: a geometric kernel to compute the convex hull of floating points with integer-only arithmetic....
Aim: Implements the quickhull algorithm by Barber et al. , a famous arbitrary dimensional convex hull...
Definition: QuickHull.h:140
bool setInput(const std::vector< InputPoint > &input_points, bool remove_duplicates=true)
Definition: QuickHull.h:382
bool getFacetVertices(std::vector< IndexRange > &facet_vertices) const
Definition: QuickHull.h:666
Size nbVertices() const
Definition: QuickHull.h:337
bool getVertexPositions(std::vector< OutputPoint > &vertex_positions)
Definition: QuickHull.h:612
Size nbFacets() const
Definition: QuickHull.h:328
bool computeConvexHull(Status target=Status::VerticesCompleted)
Definition: QuickHull.h:460
std::vector< double > timings
Timings of the different phases: 0: init, 1: facets, 2: vertices.
Definition: QuickHull.h:826
Size nbPoints() const
Definition: QuickHull.h:323
static bool writeOBJ(std::ostream &output, const SurfaceMesh &smesh)
Aim: Represents an embedded mesh as faces and a list of vertices. Vertices may be shared among faces ...
Definition: SurfaceMesh.h:92