#include <iostream>
#include <DGtal/base/Common.h>
#include <DGtal/helpers/StdDefs.h>
#include <DGtal/helpers/Shortcuts.h>
#include <DGtal/helpers/ShortcutsGeometry.h>
#include <DGtal/shapes/SurfaceMesh.h>
#include <DGtal/geometry/surfaces/DigitalSurfaceRegularization.h>
#include <DGtal/dec/PolygonalCalculus.h>
#include <polyscope/polyscope.h>
#include <polyscope/surface_mesh.h>
#include <polyscope/point_cloud.h>
#include <polyscope/curve_network.h>
#include <Eigen/Dense>
#include <Eigen/Sparse>

Include dependency graph for dgtalCalculus-single.cpp:

Typedefs
typedef Shortcuts< Z3i::KSpace >	SH3

typedef ShortcutsGeometry< Z3i::KSpace >	SHG3

typedef SurfaceMesh< RealPoint, RealVector >	SurfMesh

typedef SurfMesh::Vertices	Vertices

typedef SurfMesh::RealPoint	RealPoint

typedef SurfMesh::Face	Face

typedef SurfMesh::Vertex	Vertex

Functions
void	initPhi ()

void	initQuantities ()

int	main ()

Variables
polyscope::SurfaceMesh *	psMesh

polyscope::PointCloud *	psVertices

polyscope::CurveNetwork *	psBoundary

SurfMesh	surfmesh

PolygonalCalculus< SH3::RealPoint, SH3::RealVector >::Vector	phiEigen

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: David Coeurjolly (david.nosp@m..coe.nosp@m.urjol.nosp@m.ly@l.nosp@m.iris..nosp@m.cnrs.nosp@m..fr ) Laboratoire d'InfoRmatique en Image et Systemes d'information - LIRIS (CNRS, UMR 5205), CNRS, France

Date: 2021/09/02

This file is part of the DGtal library.

Definition in file dgtalCalculus-single.cpp.

Typedef Documentation

◆ Face

typedef SurfMesh::Face Face

Definition at line 53 of file dgtalCalculus-single.cpp.

◆ RealPoint

typedef SurfMesh::RealPoint RealPoint

Definition at line 52 of file dgtalCalculus-single.cpp.

◆ SH3

typedef Shortcuts<Z3i::KSpace> SH3

Definition at line 47 of file dgtalCalculus-single.cpp.

◆ SHG3

typedef ShortcutsGeometry<Z3i::KSpace> SHG3

Definition at line 48 of file dgtalCalculus-single.cpp.

◆ SurfMesh

typedef SurfaceMesh< RealPoint, RealVector > SurfMesh

Definition at line 50 of file dgtalCalculus-single.cpp.

◆ Vertex

typedef SurfMesh::Vertex Vertex

Definition at line 54 of file dgtalCalculus-single.cpp.

◆ Vertices

typedef SurfMesh::Vertices Vertices

Definition at line 51 of file dgtalCalculus-single.cpp.

Function Documentation

◆ initPhi()

void initPhi ( )

Definition at line 65 of file dgtalCalculus-single.cpp.

{
  phiEigen.resize(5);
  phiEigen << 1.0, 2.0, 0.0, 5.0 ,1.5;
  
  psMesh->addVertexScalarQuantity("Phi", phiEigen);
  psVertices->addScalarQuantity("Phi", phiEigen);
}

References phiEigen, psMesh, and psVertices.

Referenced by main().

◆ initQuantities()

void initQuantities ( )

Definition at line 74 of file dgtalCalculus-single.cpp.

{
  PolygonalCalculus<SH3::RealPoint,SH3::RealVector> calculus(surfmesh);
 
  std::vector<PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Vector> gradients;
  std::vector<PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Vector> cogradients;
  std::vector<PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Real3dPoint> normals;
  std::vector<PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Real3dPoint> vectorArea;
  std::vector<PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Real3dPoint> centroids;
  std::vector<double> faceArea;
 
  PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Face f = 0; //Id of the face
 
  PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Vector grad = calculus.gradient(f) * phiEigen;
  gradients.push_back( grad );
 
  PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Vector cograd =  calculus.coGradient(f) * phiEigen;
  cogradients.push_back( cograd );
 
  normals.push_back(calculus.faceNormalAsDGtalVector(f));
  
  PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Vector vA = calculus.vectorArea(f);
  vectorArea.push_back({vA(0) , vA(1), vA(2)});
  
  faceArea.push_back( calculus.faceArea(f));
  centroids.push_back( calculus.centroidAsDGtalPoint(f) );
  
  PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Vector dPhi = calculus.D(f)*phiEigen;
  PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Vector av = calculus.A(f)*phiEigen;
  
  psMesh->addFaceVectorQuantity("Gradients", gradients);
  psMesh->addFaceVectorQuantity("co-Gradients", cogradients);
  psMesh->addFaceVectorQuantity("Normals", normals);
  psMesh->addFaceScalarQuantity("Face area", faceArea);
  psMesh->addFaceVectorQuantity("Vector area", vectorArea);
  
  psBoundary->addEdgeScalarQuantity("d0*phi", dPhi);
  psBoundary->addEdgeScalarQuantity("A*phi", av);
  
  //Face centroid
  polyscope::registerPointCloud("Centroids", centroids);
  
  //Flat Sharp
  PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Vector v(3);
  v << 50,-50,-100;
  std::vector<PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Vector> someV={v};
  psMesh->addFaceVectorQuantity("A vector", someV);
 
  PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Vector flat = calculus.flat(f)*v;
  psBoundary->addEdgeScalarQuantity("flat (1-form)", flat);
  
  PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Vector sharp = calculus.sharp(f)*flat;
  std::vector<PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Vector> sharpRes={sharp};
  psMesh->addFaceVectorQuantity("Sharp", sharpRes);
}

References calculus, DGtal::PolygonalCalculus< TRealPoint, TRealVector >::flat(), phiEigen, psBoundary, psMesh, DGtal::PolygonalCalculus< TRealPoint, TRealVector >::sharp(), and surfmesh.

Referenced by main().

◆ main()

int main ( void )

Definition at line 130 of file dgtalCalculus-single.cpp.

{
  std::vector<RealPoint> positions={ {0,0,0},{20,0,0}, {20,10,0}, {10,8,5}, {0,15,1} };
  std::vector<std::vector<size_t>> faces={ {0,1,2,3,4} };
 
  surfmesh = SurfMesh(positions.begin(),
                      positions.end(),
                      faces.begin(),
                      faces.end());
 
  psVertices = polyscope::registerPointCloud("Vertices", positions);
    
  std::vector<std::array<size_t,2>> edges={{0,1},{1,2},{2,3},{3,4},{4,0} };
  psBoundary = polyscope::registerCurveNetwork("Edges", positions, edges);
  
  // Initialize polyscope
  polyscope::init();
  
  psMesh = polyscope::registerSurfaceMesh("Single face", positions, faces);
 
  initPhi();
  initQuantities();
  
  polyscope::show();
  return EXIT_SUCCESS;
  
}

References initPhi(), initQuantities(), psBoundary, psMesh, psVertices, and surfmesh.

Variable Documentation

◆ phiEigen

PolygonalCalculus<SH3::RealPoint,SH3::RealVector>::Vector phiEigen

Definition at line 63 of file dgtalCalculus-single.cpp.

Referenced by initPhi(), and initQuantities().

◆ psBoundary

polyscope::CurveNetwork* psBoundary

Definition at line 60 of file dgtalCalculus-single.cpp.

Referenced by initQuantities(), and main().

◆ psMesh

polyscope::SurfaceMesh* psMesh

Definition at line 58 of file dgtalCalculus-single.cpp.

Referenced by initPhi(), initQuantities(), and main().

◆ psVertices

polyscope::PointCloud* psVertices

Definition at line 59 of file dgtalCalculus-single.cpp.

Referenced by initPhi(), and main().

◆ surfmesh

SurfMesh surfmesh

Definition at line 62 of file dgtalCalculus-single.cpp.