standardDigitalPolyhedronBuilder3D.cpp File Reference

#include <iostream>
#include <queue>
#include "DGtal/base/Common.h"
#include "DGtal/helpers/StdDefs.h"
#include "DGtal/io/viewers/Viewer3D.h"
#include "DGtal/shapes/Shapes.h"
#include "DGtal/shapes/SurfaceMesh.h"
#include "DGtal/io/readers/SurfaceMeshReader.h"
#include "DGtal/geometry/volumes/DigitalConvexity.h"
#include "ConfigExamples.h"

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Namespaces
	DGtal
	DGtal is the top-level namespace which contains all DGtal functions and types.

Typedefs
typedef Z3i::Space	Space
typedef Z3i::Integer	Integer
typedef Z3i::KSpace	KSpace
typedef Z3i::Domain	Domain
typedef Z3i::SCell	SCell
typedef Space::Point	Point
typedef Space::RealPoint	RealPoint
typedef Space::RealVector	RealVector
typedef Space::Vector	Vector
typedef std::vector< Point >	PointRange
typedef MedianPlane< false, true >	Plane

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/.

Author

Jacques-Olivier Lachaud (jacqu.nosp@m.es-o.nosp@m.livie.nosp@m.r.la.nosp@m.chaud.nosp@m.@uni.nosp@m.v-sav.nosp@m.oie..nosp@m.fr ) Laboratory of Mathematics (CNRS, UMR 5127), University of Savoie, France

Date

2022/06/20

An example file named standardDigitalPolyhedronBuilder3D

This file is part of the DGtal library.

Definition in file standardDigitalPolyhedronBuilder3D.cpp.

Typedef Documentation

Domain

typedef Z3i::Domain Domain

Definition at line 82 of file standardDigitalPolyhedronBuilder3D.cpp.

Integer

typedef Z3i::Integer Integer

Definition at line 80 of file standardDigitalPolyhedronBuilder3D.cpp.

KSpace

typedef Z3i::KSpace KSpace

Definition at line 81 of file standardDigitalPolyhedronBuilder3D.cpp.

Plane

typedef MedianPlane< false, true > Plane

Examples

geometry/volumes/standardDigitalPolyhedronBuilder3D.cpp.

Definition at line 120 of file standardDigitalPolyhedronBuilder3D.cpp.

Point

typedef Space::Point Point

Definition at line 84 of file standardDigitalPolyhedronBuilder3D.cpp.

PointRange

typedef std::vector<Point> PointRange

Definition at line 88 of file standardDigitalPolyhedronBuilder3D.cpp.

RealPoint

typedef Space::RealPoint RealPoint

Definition at line 85 of file standardDigitalPolyhedronBuilder3D.cpp.

RealVector

typedef Space::RealVector RealVector

Definition at line 86 of file standardDigitalPolyhedronBuilder3D.cpp.

SCell

typedef Z3i::SCell SCell

Definition at line 83 of file standardDigitalPolyhedronBuilder3D.cpp.

Space

typedef Z3i::Space Space

Definition at line 79 of file standardDigitalPolyhedronBuilder3D.cpp.

Vector

typedef Space::Vector Vector

Definition at line 87 of file standardDigitalPolyhedronBuilder3D.cpp.

Function Documentation

main()

int main	(	int	argc,
		char **	argv
	)

Definition at line 122 of file standardDigitalPolyhedronBuilder3D.cpp.

{
  trace.info() << "Usage: " << argv[ 0 ] << " <input.obj> <h> <view>" << std::endl;
  trace.info() << "\tComputes a digital polyhedron from an OBJ file" << std::endl;
  trace.info() << "\t- input.obj: choose your favorite mesh" << std::endl;
  trace.info() << "\t- h [==1]: the digitization gridstep" << std::endl;
  trace.info() << "\t- view [==31]: display vertices(1), common edges(2), positive side f edges(4), negative side f edges (8), faces(16)" << std::endl;
  string filename = examplesPath + "samples/lion.obj";
  std::string  fn = argc > 1 ? argv[ 1 ]         : filename; //< vol filename
  double        h = argc > 2 ? atof( argv[ 2 ] ) : 1.0;
  int        view = argc > 3 ? atoi( argv[ 3 ] ) : 31;
  // Read OBJ file
  std::ifstream input( fn.c_str() );
  DGtal::SurfaceMesh< RealPoint, RealVector > surfmesh;
  bool ok = SurfaceMeshReader< RealPoint, RealVector >::readOBJ( input, surfmesh );
  if ( ! ok )
    {
      trace.error() << "Unable to read obj file : " << fn << std::endl;
      return 1;
    }
 
  QApplication application(argc,argv);
  typedef Viewer3D<Space,KSpace> MViewer;
  MViewer viewer;
  viewer.setWindowTitle("standardDigitalPolyhedronBuilder3D");
  viewer.show();  
 
  Point lo(-500,-500,-500);
  Point up(500,500,500);
  DigitalConvexity< KSpace > dconv( lo, up );
  typedef DigitalConvexity< KSpace >::EnvelopeAlgorithm Algorithm;
  
  auto vertices = std::vector<Point>( surfmesh.nbVertices() );
  for ( auto v : surfmesh )
    {
      RealPoint p = (1.0 / h) * surfmesh.position( v );
      Point q ( (Integer) round( p[ 0 ] ),
                (Integer) round( p[ 1 ] ),
                (Integer) round( p[ 2 ] ) );
      vertices[ v ] = q;
    }
  std::set< Point > faces_set, pos_edges_set, neg_edges_set;
  auto faceVertices = surfmesh.allIncidentVertices();
 
  trace.beginBlock( "Checking face planarity" );
  std::vector< Plane > face_planes;
  face_planes.resize( surfmesh.nbFaces() );
  bool planarity = true;
  for ( int f = 0; f < surfmesh.nbFaces() && planarity; ++f )
    {
      PointRange X;
      for ( auto v : faceVertices[ f ] )
        X.push_back( vertices[ v ] );
      face_planes[ f ] = Plane( X[ 0 ], X[ 1 ], X[ 2 ] );
      for ( int v = 3; v < X.size(); v++ )
        if ( ! face_planes[ f ]( X[ v ] ) )
          {
            trace.error() << "Face " << f << " is not planar." << std::endl;
            planarity = false; break;
          }
    }
  trace.endBlock();
  if ( ! planarity ) return 1;
  trace.beginBlock( "Computing polyhedron" );
  for ( int f = 0; f < surfmesh.nbFaces(); ++f )
    {
      PointRange X;
      for ( auto v : faceVertices[ f ] )
        X.push_back( vertices[ v ] );
      auto F = dconv.relativeEnvelope( X, face_planes[ f ], Algorithm::DIRECT );
      faces_set.insert( F.cbegin(), F.cend() );
      for ( int i = 0; i < X.size(); i++ )
        {
          PointRange Y { X[ i ], X[ (i+1)%X.size() ] };
          if ( Y[ 1 ] < Y[ 0 ] ) std::swap( Y[ 0 ], Y[ 1 ] ); 
          int idx1 = faceVertices[ f ][ i ];
          int idx2 = faceVertices[ f ][ (i+1)%X.size() ];
          // Variant (1): edges of both sides have many points in common
          // auto A = dconv.relativeEnvelope( Y, face_planes[ f ], Algorithm::DIRECT );
          // Variant (2): edges of both sides have much less points in common
          auto A = dconv.relativeEnvelope( Y, F, Algorithm::DIRECT );
          bool pos = idx1 < idx2;
          (pos ? pos_edges_set : neg_edges_set).insert( A.cbegin(), A.cend() );
        }
    }
  trace.endBlock();
  std::vector< Point > face_points, common_edge_points, arc_points, final_arc_points ;
  std::vector< Point > pos_edge_points, neg_edge_points, both_edge_points;
  std::vector< Point > vertex_points = vertices;
  std::sort( vertex_points.begin(), vertex_points.end() );
  std::set_symmetric_difference( pos_edges_set.cbegin(), pos_edges_set.cend(),
                                 neg_edges_set.cbegin(), neg_edges_set.cend(),
                                 std::back_inserter( arc_points ) );
  std::set_intersection( pos_edges_set.cbegin(), pos_edges_set.cend(),
                         neg_edges_set.cbegin(), neg_edges_set.cend(),
                         std::back_inserter( common_edge_points ) );
  std::set_union( pos_edges_set.cbegin(), pos_edges_set.cend(),
                  neg_edges_set.cbegin(), neg_edges_set.cend(),
                  std::back_inserter( both_edge_points ) );
  std::set_difference( faces_set.cbegin(), faces_set.cend(),
                       both_edge_points.cbegin(), both_edge_points.cend(),
                       std::back_inserter( face_points ) );
  std::set_difference( pos_edges_set.cbegin(), pos_edges_set.cend(),
                       common_edge_points.cbegin(), common_edge_points.cend(),
                       std::back_inserter( pos_edge_points ) );
  std::set_difference( neg_edges_set.cbegin(), neg_edges_set.cend(),
                       common_edge_points.cbegin(), common_edge_points.cend(),
                       std::back_inserter( neg_edge_points ) );
  std::set_difference( common_edge_points.cbegin(), common_edge_points.cend(),
                       vertex_points.cbegin(), vertex_points.cend(),
                       std::back_inserter( final_arc_points ) );
  auto total = vertex_points.size() + pos_edge_points.size()
    + neg_edge_points.size()
    + final_arc_points.size() + face_points.size();
  trace.info() << "#vertex   points=" << vertex_points.size() << std::endl;
  trace.info() << "#pos edge points=" << pos_edge_points.size() << std::endl;
  trace.info() << "#neg edge points=" << neg_edge_points.size() << std::endl;
  trace.info() << "#arc      points=" << final_arc_points.size() << std::endl;
  trace.info() << "#face     points=" << face_points.size() << std::endl;
  trace.info() << "#total    points=" << total << std::endl;
 
  // display everything
  Color colors[] =
    { Color::Black, Color::Blue, Color::Red,
      Color::Magenta, Color( 200, 200, 200 ) };
  if ( view & 0x1 )
    {
      viewer.setLineColor( colors[ 0 ] );
      viewer.setFillColor( colors[ 0 ] );
      for ( auto p : vertices ) viewer << p;
    }
  if ( view & 0x2 )
    {
      viewer.setLineColor( colors[ 3 ] );
      viewer.setFillColor( colors[ 3 ] );
      for ( auto p : final_arc_points ) viewer << p;
    }
  if ( view & 0x4 )
    {
      viewer.setLineColor( colors[ 1 ] );
      viewer.setFillColor( colors[ 1 ] );
      for ( auto p : pos_edge_points ) viewer << p;
    }
  if ( view & 0x8 )
    {
      viewer.setLineColor( colors[ 2 ] );
      viewer.setFillColor( colors[ 2 ] );
      for ( auto p : neg_edge_points ) viewer << p;
    }
  if ( view & 0x10 )
    {
      viewer.setLineColor( colors[ 4 ] );
      viewer.setFillColor( colors[ 4 ] );
      for ( auto p : face_points ) viewer << p;
    }
  viewer << MViewer::updateDisplay;
  return application.exec();
 
}

References DGtal::SurfaceMesh< TRealPoint, TRealVector >::allIncidentVertices(), DGtal::Trace::beginBlock(), DGtal::Trace::endBlock(), DGtal::Trace::error(), DGtal::Trace::info(), insert(), DGtal::SurfaceMesh< TRealPoint, TRealVector >::nbFaces(), DGtal::SurfaceMesh< TRealPoint, TRealVector >::nbVertices(), DGtal::SurfaceMesh< TRealPoint, TRealVector >::position(), DGtal::DigitalConvexity< TKSpace >::relativeEnvelope(), DGtal::Viewer3D< TSpace, TKSpace >::show(), surfmesh, and DGtal::trace.