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Using iterators and circulators

This examples shows:

- How to use iterators,
- How to use circulators.

This example is the first version of the simple mesh smoother. Here we will introduce iterators and circulators. These two concepts provide functionality to linearly enumerate e.g. all vertices of a mesh, and to circulate around a vertex, i.e. to enumerate all its one-ring neighbors. For a more detailed description, see Mesh Iterators and Circulators.

First we have to define the mesh type we want to use. This time we use a triangle mesh instead of a polygonal mesh:

#include <OpenMesh/Core/Mesh/TriMesh_ArrayKernelT.hh>
typedef OpenMesh::TriMesh_ArrayKernelT<> MyMesh;
OpenMesh::TriMesh_ArrayKernelT
Triangle mesh based on the ArrayKernel.
Definition TriMesh_ArrayKernelT.hh:96

We read the mesh to be smoothed from a file:

if ( ! OpenMesh::IO::read_mesh(mesh, argv[2]) )
OpenMesh::IO::read_mesh
bool read_mesh(Mesh &_mesh, const std::string &_filename)
Read a mesh from file _filename.
Definition MeshIO.hh:95

One smoothing iteration is done in two steps:

1. For each vertex: calculate the barycenter of its one-ring neighbors.
2. For each vertex: move the vertex to the computed barycenter.

This can easily be implemented using vertex iterators. The mesh provides begin and end iterators by vertices_begin() and vertices_end().

MyMesh::VertexIter v_it, v_end(mesh.vertices_end());
OpenMesh::PolyMeshT< AttribKernel >::VertexIter
AttribKernel::VertexIter VertexIter
Definition PolyMeshT.hh:143
for (v_it=mesh.vertices_begin(); v_it!=v_end; ++v_it)

For calculating the barycenter, we have to iterate through the one-ring neighborhood of the current vertex. This functionality is provided by the VertexVertexIter:

MyMesh::VertexVertexIter vv_it;
OpenMesh::PolyMeshT< AttribKernel >::VertexVertexIter
AttribKernel::VertexVertexIter VertexVertexIter
Definition PolyMeshT.hh:162
for (vv_it=mesh.vv_iter( *v_it ); vv_it.is_valid(); ++vv_it)

Now we can calculate the barycenters for each vertex and store them in the array cogs:

std::vector<MyMesh::Point> cogs;
for (v_it=mesh.vertices_begin(); v_it!=v_end; ++v_it)
{
cog[0] = cog[1] = cog[2] = valence = 0.0;
for (vv_it=mesh.vv_iter( *v_it ); vv_it.is_valid(); ++vv_it)
{
cog += mesh.point( *vv_it );
++valence;
}
cogs.push_back(cog / valence);
}

After we have calculated the barycenters all that is left to do is to move the vertices to the corresponding barycenters. The complete source code is listed below.

#include <iostream>
#include <vector>
// -------------------- OpenMesh
#include <OpenMesh/Core/IO/MeshIO.hh>
#include <OpenMesh/Core/Mesh/TriMesh_ArrayKernelT.hh>
typedef OpenMesh::TriMesh_ArrayKernelT<> MyMesh;
int main(int argc, char **argv)
{
MyMesh mesh;
// check command line options
if (argc != 4)
{
std::cerr << "Usage: " << argv[0] << " #iterations infile outfile\n";
return 1;
}
// read mesh from stdin
if ( ! OpenMesh::IO::read_mesh(mesh, argv[2]) )
{
std::cerr << "Error: Cannot read mesh from " << argv[2] << std::endl;
return 1;
}
// this vector stores the computed centers of gravity
std::vector<MyMesh::Point> cogs;
std::vector<MyMesh::Point>::iterator cog_it;
cogs.reserve(mesh.n_vertices());
// smoothing mesh argv[1] times
MyMesh::VertexIter v_it, v_end(mesh.vertices_end());
MyMesh::VertexVertexIter vv_it;
MyMesh::Point cog;
MyMesh::Scalar valence;
unsigned int i, N(atoi(argv[1]));
for (i=0; i < N; ++i)
{
cogs.clear();
for (v_it=mesh.vertices_begin(); v_it!=v_end; ++v_it)
{
cog[0] = cog[1] = cog[2] = valence = 0.0;
for (vv_it=mesh.vv_iter( *v_it ); vv_it.is_valid(); ++vv_it)
{
cog += mesh.point( *vv_it );
++valence;
}
cogs.push_back(cog / valence);
}
for (v_it=mesh.vertices_begin(), cog_it=cogs.begin();
v_it!=v_end; ++v_it, ++cog_it)
if ( !mesh.is_boundary( *v_it ) )
mesh.set_point( *v_it, *cog_it );
}
// write mesh to stdout
if ( ! OpenMesh::IO::write_mesh(mesh, argv[3]) )
{
std::cerr << "Error: cannot write mesh to " << argv[3] << std::endl;
return 1;
}
return 0;
}
OpenMesh::IO::write_mesh
bool write_mesh(const Mesh &_mesh, const std::string &_filename, Options _opt=Options::Default, std::streamsize _precision=6)
Write a mesh to the file _filename.
Definition MeshIO.hh:190
OpenMesh::PolyMeshT< AttribKernel >::Scalar
AttribKernel::Scalar Scalar
Definition PolyMeshT.hh:110
OpenMesh::PolyMeshT< AttribKernel >::Point
AttribKernel::Point Point
Definition PolyMeshT.hh:112