DGtal  1.2.0
exampleLatticeBallDelaunay3D.cpp File Reference
#include "DGtal/base/Common.h"
#include "DGtal/kernel/PointVector.h"
#include "DGtal/shapes/SurfaceMesh.h"
#include "DGtal/io/writers/SurfaceMeshWriter.h"
#include "DGtal/geometry/volumes/ConvexityHelper.h"
Include dependency graph for exampleLatticeBallDelaunay3D.cpp:

Go to the source code of this file.

## Functions

int main (int argc, char *argv[])

## Detailed Description

This program is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program. If not, see http://www.gnu.org/licenses/.

Date
2021/02/06

An example file named exampleLatticeBallDelaunay3D.

This file is part of the DGtal library.

This program is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program. If not, see http://www.gnu.org/licenses/.

Date
2021/02/06

An example file named exampleRationalBallDelaunay3D.

This file is part of the DGtal library.

Definition in file exampleLatticeBallDelaunay3D.cpp.

## ◆ main()

 int main ( int argc, char * argv[] )

Definition at line 60 of file exampleLatticeBallDelaunay3D.cpp.

61 {
62  int nb = argc > 1 ? atoi( argv[ 1 ] ) : 100; // nb points
63  double dR = argc > 2 ? atof( argv[ 2 ] ) : 10.; // radius of balla
64  double eps = argc > 3 ? atof( argv[ 3 ] ) : 0.1; // retraction
67  // (1) create range of random points in ball
68  std::vector< Point > V;
69  const auto R2 = dR * dR;
70  const int R = ceil( dR );
71  for ( int i = 0; i < nb; ) {
72  Point p( rand() % (2*R+1) - R, rand() % (2*R+1) - R, rand() % (2*R+1) - R );
73  if ( p.squaredNorm() <= R2 ) { V.push_back( p ); i++; }
74  }
75  // (2) compute convex hull
76  bool ok =
78  if ( ! ok )
79  {
80  trace.error() << "Input set of points is not full dimensional." << std::endl;
81  return 1;
82  }
83  dcomplex.requireFaceGeometry();
84  std::cout << dcomplex << std::endl;
85  // (3) build the mesh that is made of the exploded 3d cells
86  std::vector< RealPoint > positions;
87  std::vector< std::vector< Index > > facets;
88  Index idxv = 0;
89  for ( auto c = 0; c < dcomplex.nbCells(); ++c )
90  {
91  RealPoint b = dcomplex.cellBarycenter( c );
92  auto c_vtcs = dcomplex.cellVertices( c );
93  std::map< Index, Index > v2v;
94  for ( auto v : c_vtcs ) {
95  RealPoint x = dcomplex.toReal( dcomplex.position( v ) );
96  v2v[ v ] = idxv++;
97  positions.push_back( b + ( x - b ) * ( 1.0 - eps ) );
98  }
99  for ( const auto& f : dcomplex.cellFaces( c ) ) {
100  auto f_vtcs = dcomplex.faceVertices( f );
101  for ( auto& vertex : f_vtcs )
102  vertex = v2v[ vertex ];
103  facets.push_back( f_vtcs );
104  }
105  }
107  SMesh mesh( positions.cbegin(), positions.cend(),
108  facets.cbegin(), facets.cend() );
109  // (4) output result as OBJ file
110  std::ofstream out( "delaunay3d.obj" );
112  ::writeOBJ( out, mesh );
113  out.close();
114  return 0;
115 }
std::ostream & error()
Trace trace
Definition: Common.h:154
Aim: represents a d-dimensional complex in a d-dimensional space with the following properties and re...
const VertexRange & cellVertices(const Cell c) const
Point position(const Vertex v) const
VertexRange faceVertices(const Face f) const
RealPoint toReal(const Point p) const
RealPoint cellBarycenter(const Cell c) const
void requireFaceGeometry()
Forces the computation of face geometry.
const FaceRange & cellFaces(const Cell c) const
Aim: Provides a set of functions to facilitate the computation of convex hulls and polytopes,...
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