#include <iostream>
#include <string>
#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/dec/PolygonalCalculus.h>
#include <DGtal/dec/GeodesicsInHeat.h>
#include <polyscope/polyscope.h>
#include <polyscope/surface_mesh.h>
#include <polyscope/pick.h>
#include "ConfigExamples.h"
#include <Eigen/Dense>
#include <Eigen/Sparse>

Include dependency graph for dgtalCalculus-halfsphere.cpp:

Typedefs
typedef Shortcuts< Z3i::KSpace >	SH3
typedef ShortcutsGeometry< Z3i::KSpace >	SHG3
typedef PolygonalCalculus< SH3::RealPoint, SH3::RealVector >	PolyCalculus

Functions
void	precompute ()
void	picksource (int v_idx)
void	computeGeodesics ()
void	myCallback ()
int	main ()

Variables
polyscope::SurfaceMesh *	psMesh
SurfMesh	surfmesh
float	dt = 2.0
float	Lambda = 0.05
bool	Mixed = false
GeodesicsInHeat< PolyCalculus > *	heat
PolyCalculus *	calculus
int	vertex_idx = -1
int	face_idx = -1
int	edge_idx = -1
bool	isPrecomputed =false

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: 2022/04/10

This file is part of the DGtal library.

Definition in file dgtalCalculus-halfsphere.cpp.

Typedef Documentation

◆ PolyCalculus

typedef PolygonalCalculus<SH3::RealPoint,SH3::RealVector> PolyCalculus

Definition at line 56 of file dgtalCalculus-halfsphere.cpp.

◆ SH3

typedef Shortcuts<Z3i::KSpace> SH3

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

◆ SHG3

typedef ShortcutsGeometry<Z3i::KSpace> SHG3

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

Function Documentation

◆ computeGeodesics()

void computeGeodesics ( )

Definition at line 97 of file dgtalCalculus-halfsphere.cpp.

{
  // heat->addSource( 0 ); //Forcing one seed (for screenshots)
  GeodesicsInHeat<PolyCalculus>::Vector dist = heat->compute();
  psMesh->addVertexDistanceQuantity("geodesic", dist);
}

References heat, and psMesh.

Referenced by myCallback().

◆ main()

int main ( void )

Definition at line 155 of file dgtalCalculus-halfsphere.cpp.

{
  auto params = SH3::defaultParameters() | SHG3::defaultParameters() |  SHG3::parametersGeometryEstimation();
  params("surfaceComponents", "All");
  params("polynomial", "x^2+(y+1)^2+z^2-1.0")
    ("minAABB",-1.0)("maxAABB",1.0)("offset",1.0)
    ("gridstep",0.0625);
  auto shape        = SH3::makeImplicitShape3D( params );
  auto dshape       = SH3::makeDigitizedImplicitShape3D( shape, params );
  auto K            = SH3::getKSpace( params );
  auto binary_image = SH3::makeBinaryImage( dshape, params );
  auto surface      = SH3::makeDigitalSurface( binary_image, K, params );
  auto primalSurface= SH3::makePrimalSurfaceMesh(surface);
  auto surfels      = SH3::getSurfelRange( surface, params );
  auto normals      = SHG3::getNormalVectors( shape, K, surfels, params );
  
  //Need to convert the faces
  std::vector<std::vector<SH3::SurfaceMesh::Vertex>> faces;
  std::vector<RealPoint> positions;
  
  for(auto face= 0 ; face < primalSurface->nbFaces(); ++face)
    faces.push_back(primalSurface->incidentVertices( face ));
  
  //Recasting to vector of vertices
  positions = primalSurface->positions();
 
  surfmesh = SurfMesh(positions.begin(),
                      positions.end(),
                      faces.begin(),
                      faces.end());
  surfmesh.setFaceNormals( normals.cbegin(), normals.cend() );
  std::cout << surfmesh << std::endl;
  std::cout<<"number of non-manifold Edges = " << surfmesh.computeNonManifoldEdges().size()<<std::endl;
  
  // Initialize polyscope
  polyscope::init();
 
  psMesh = polyscope::registerSurfaceMesh("digital surface", positions, faces);
 
  // Set the callback function
  polyscope::state::userCallback = myCallback;
  polyscope::show();
  return EXIT_SUCCESS;
}

◆ myCallback()

void myCallback ( )

Definition at line 105 of file dgtalCalculus-halfsphere.cpp.

{
  // Select a vertex with the mouse
  if (polyscope::haveSelection()) {
    bool goodSelection = false;
    auto selection = polyscope::getSelection();
    auto selectedSurface = static_cast<polyscope::SurfaceMesh*>(selection.structure);
    size_t idx = selection.localIndex;
 
    // Only authorize selection on the input surface and the reconstruction
    auto surf = polyscope::getSurfaceMesh("digital surface");
    goodSelection = goodSelection || (selectedSurface == surf);
    const auto nv = selectedSurface->nVertices(); 
    // Validate that it its a face index
    if ( goodSelection && idx < nv )
      {
        std::ostringstream otext;
        otext << "Selected vertex = " << idx;
        ImGui::Text( "%s", otext.str().c_str() );
        vertex_idx = idx;
        if (!isPrecomputed)
          {
            precompute();
            isPrecomputed=true;
          }
        picksource( vertex_idx );
      }
  }
  
  ImGui::SliderFloat("Lambda parameter", &Lambda, 0.0, 1.0);
  ImGui::SliderFloat("dt", &dt, 0.,4.);
  ImGui::Checkbox("Use mixed Neumann+Dirichlet heat solution", &Mixed);
  if(ImGui::Button("Precomputation (required if you change the dt)"))
  {
    precompute();
    isPrecomputed=true;
  }
  
  if(ImGui::Button("Compute geodesic"))
  {
    if (!isPrecomputed)
    {
      precompute();
      isPrecomputed=true;
    }
    computeGeodesics();
  }
  ImGui::Text("You can use the mouse left-click to select the new source point.");
}

References computeGeodesics(), dt, isPrecomputed, Lambda, Mixed, picksource(), precompute(), and vertex_idx.

◆ picksource()

void picksource ( int v_idx )

Definition at line 90 of file dgtalCalculus-halfsphere.cpp.

{
  heat->addSource( v_idx );
  GeodesicsInHeat<PolyCalculus>::Vector source = heat->source();
  psMesh->addVertexScalarQuantity("source", source);
}

References heat, and psMesh.

Referenced by myCallback().

◆ precompute()

void precompute ( )

Definition at line 71 of file dgtalCalculus-halfsphere.cpp.

{
  auto projEmbedder = [&]( int f, int v)
  {
    auto nn = surfmesh.faceNormal( f );
    RealPoint centroid = surfmesh.faceCentroid( f );
    RealPoint p = surfmesh.position( v );
    const auto cp = p - centroid;
    RealPoint q = p - nn.dot(cp)*nn;
    return q;
  };
  calculus = new PolyCalculus(surfmesh);
  calculus->setEmbedder( projEmbedder );
  heat = new GeodesicsInHeat<PolyCalculus>(calculus);
  trace.beginBlock("Init solvers");
  heat->init(dt,Lambda,Mixed);
  trace.endBlock();
}