TetrahedralCuboidGenerator.cc 15.5 KB
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/*===========================================================================*\
*                                                                            *
 *                              OpenFlipper                                   *
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 *           Copyright (c) 2001-2015, RWTH-Aachen University                 *
 *           Department of Computer Graphics and Multimedia                  *
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 * This file is part of OpenFlipper.                                         *
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#ifdef ENABLE_POLYHEDRALMESH_SUPPORT
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#include "TetrahedralCuboidGenerator.hh"

void TetrahedralCuboidGenerator::add_vertices(Vector const& position, Vector const& length)
{
    vertices_.clear();
    vertices_.reserve((size_[0] + 1) * (size_[1] + 1) * (size_[2] + 1));

    Vector h(length[0] / size_[0], length[1] / size_[1], length[2] / size_[2]);
    Vector origin = position - 0.5 * length;

    for (std::size_t k = 0; k < size_[2] + 1; ++k)
        for (std::size_t j = 0; j < size_[1] + 1; ++j)
            for (std::size_t i = 0; i < size_[0] + 1; ++i)
                vertices_.push_back(mesh_->add_vertex(Vector(h[0]*i, h[1]*j, h[2]*k) + origin));
}

void TetrahedralCuboidGenerator::get_cube_vertices(std::size_t i, std::size_t j, std::size_t k,
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        std::vector<OpenVolumeMesh::VertexHandle>& v) const
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{
    v[0] = vertices_[k * (size_[0] + 1) * (size_[1] + 1) + j * (size_[0] + 1) + i];
    v[1] = vertices_[k * (size_[0] + 1) * (size_[1] + 1) + j * (size_[0] + 1) + i + 1];
    v[2] = vertices_[k * (size_[0] + 1) * (size_[1] + 1) + (j + 1) * (size_[0] + 1) + i];
    v[3] = vertices_[k * (size_[0] + 1) * (size_[1] + 1) + (j + 1) * (size_[0] + 1) + i + 1];
    v[4] = vertices_[(k + 1) * (size_[0] + 1) * (size_[1] + 1) + j * (size_[0] + 1) + i];
    v[5] = vertices_[(k + 1) * (size_[0] + 1) * (size_[1] + 1) + j * (size_[0] + 1) + i + 1];
    v[6] = vertices_[(k + 1) * (size_[0] + 1) * (size_[1] + 1) + (j + 1) * (size_[0] + 1) + i];
    v[7] = vertices_[(k + 1) * (size_[0] + 1) * (size_[1] + 1) + (j + 1) * (size_[0] + 1) + i + 1];
}

void TetrahedralCuboidGenerator::add_faces()
{
    std::vector<OpenVolumeMesh::VertexHandle> v(8);

    for (std::size_t i = 0; i < size_[0]; ++i)
        for (std::size_t j = 0; j < size_[1]; ++j)
            for (std::size_t k = 0; k < size_[2]; ++k)
            {
                get_cube_vertices(i, j, k, v);

                if ((i + j + k) % 2 == 0)
                    add_cube_type_1_faces(i, j, k, v);
                else
                    add_cube_type_2_faces(i, j, k, v);
            }
}

void TetrahedralCuboidGenerator::add_cube_type_1_faces(std::size_t i, std::size_t j, std::size_t k,
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        std::vector<OpenVolumeMesh::VertexHandle> const& v)
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{
    std::vector<OpenVolumeMesh::VertexHandle> fv(3);

    // left side
    fv[0] = v[0]; fv[1] = v[2]; fv[2] = v[6];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    fv[0] = v[0]; fv[1] = v[6]; fv[2] = v[4];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));

    // front side
    fv[0] = v[0]; fv[1] = v[4]; fv[2] = v[5];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    fv[0] = v[0]; fv[1] = v[5]; fv[2] = v[1];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));

    // bottom side
    fv[0] = v[0]; fv[1] = v[1]; fv[2] = v[3];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    fv[0] = v[0]; fv[1] = v[3]; fv[2] = v[2];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));

    // inner faces
    fv[0] = v[0]; fv[1] = v[5]; fv[2] = v[6];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    fv[0] = v[0]; fv[1] = v[3]; fv[2] = v[5];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    fv[0] = v[0]; fv[1] = v[6]; fv[2] = v[3];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    fv[0] = v[3]; fv[1] = v[6]; fv[2] = v[5];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));

    // right face
    if (i == size_[0] - 1) {
        fv[0] = v[3]; fv[1] = v[5]; fv[2] = v[1];
        faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
        fv[0] = v[3]; fv[1] = v[7]; fv[2] = v[5];
        faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    }

    // back face
    if (j == size_[1] - 1) {
        fv[0] = v[3]; fv[1] = v[6]; fv[2] = v[7];
        faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
        fv[0] = v[3]; fv[1] = v[2]; fv[2] = v[6];
        faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    }

    // top face
    if (k == size_[2] - 1) {
        fv[0] = v[5]; fv[1] = v[6]; fv[2] = v[4];
        faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
        fv[0] = v[5]; fv[1] = v[7]; fv[2] = v[6];
        faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    }
}

void TetrahedralCuboidGenerator::add_cube_type_2_faces(std::size_t i, std::size_t j, std::size_t k,
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        std::vector<OpenVolumeMesh::VertexHandle> const& v)
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{
    std::vector<OpenVolumeMesh::VertexHandle> fv(3);

    // left side
    fv[0] = v[0]; fv[1] = v[2]; fv[2] = v[4];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    fv[0] = v[2]; fv[1] = v[6]; fv[2] = v[4];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));

    // front side
    fv[0] = v[0]; fv[1] = v[4]; fv[2] = v[1];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    fv[0] = v[4]; fv[1] = v[5]; fv[2] = v[1];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));

    // bottom side
    fv[0] = v[0]; fv[1] = v[1]; fv[2] = v[2];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    fv[0] = v[1]; fv[1] = v[3]; fv[2] = v[2];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));

    // inner faces
    fv[0] = v[1]; fv[1] = v[7]; fv[2] = v[4];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    fv[0] = v[1]; fv[1] = v[2]; fv[2] = v[7];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    fv[0] = v[2]; fv[1] = v[4]; fv[2] = v[7];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    fv[0] = v[1]; fv[1] = v[4]; fv[2] = v[2];
    faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));

    // right face
    if (i == size_[0] - 1) {
        fv[0] = v[1]; fv[1] = v[7]; fv[2] = v[5];
        faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
        fv[0] = v[1]; fv[1] = v[3]; fv[2] = v[7];
        faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    }

    // back face
    if (j == size_[1] - 1) {
        fv[0] = v[2]; fv[1] = v[7]; fv[2] = v[3];
        faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
        fv[0] = v[2]; fv[1] = v[6]; fv[2] = v[7];
        faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    }

    // top face
    if (k == size_[2] - 1) {
        fv[0] = v[4]; fv[1] = v[7]; fv[2] = v[6];
        faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
        fv[0] = v[4]; fv[1] = v[5]; fv[2] = v[7];
        faces_.insert(std::make_pair(SortedFace(fv), mesh_->add_face(fv)));
    }
}

void TetrahedralCuboidGenerator::add_cells()
{
    std::vector<OpenVolumeMesh::VertexHandle> v(8);

    for (std::size_t i = 0; i < size_[0]; ++i)
        for (std::size_t j = 0; j < size_[1]; ++j)
            for (std::size_t k = 0; k < size_[2]; ++k)
            {
                get_cube_vertices(i, j, k, v);

                if ((i + j + k) % 2 == 0)
                    add_cube_type_1_cells(i, j, k, v);
                else
                    add_cube_type_2_cells(i, j, k, v);
            }
}

void TetrahedralCuboidGenerator::add_cube_type_1_cells(std::size_t i, std::size_t j, std::size_t k,
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        std::vector<OpenVolumeMesh::VertexHandle> const& v)
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{
    std::vector<OpenVolumeMesh::FaceHandle> f(4);
    std::vector<OpenVolumeMesh::HalfFaceHandle> hf(4);

    // inner cell
    f[0] = faces_[SortedFace(v[0], v[5], v[6])];
    f[1] = faces_[SortedFace(v[0], v[3], v[5])];
    f[2] = faces_[SortedFace(v[3], v[5], v[6])];
    f[3] = faces_[SortedFace(v[0], v[3], v[6])];
    hf[0] = mesh_->halfface_handle(f[0], 1);
    hf[1] = mesh_->halfface_handle(f[1], 1);
    hf[2] = mesh_->halfface_handle(f[2], 1);
    hf[3] = mesh_->halfface_handle(f[3], 1);
    mesh_->add_cell(hf);

    f[0] = faces_[SortedFace(v[0], v[4], v[6])];
    f[1] = faces_[SortedFace(v[0], v[4], v[5])];
    f[2] = faces_[SortedFace(v[4], v[5], v[6])];
    f[3] = faces_[SortedFace(v[0], v[5], v[6])];
    hf[0] = mesh_->halfface_handle(f[0], 0);
    hf[1] = mesh_->halfface_handle(f[1], 0);
    hf[2] = mesh_->halfface_handle(f[2], 1);
    hf[3] = mesh_->halfface_handle(f[3], 0);
    mesh_->add_cell(hf);

    f[0] = faces_[SortedFace(v[1], v[3], v[5])];
    f[1] = faces_[SortedFace(v[0], v[1], v[5])];
    f[2] = faces_[SortedFace(v[0], v[1], v[3])];
    f[3] = faces_[SortedFace(v[0], v[3], v[5])];
    hf[0] = mesh_->halfface_handle(f[0], 1);
    hf[1] = mesh_->halfface_handle(f[1], 0);
    hf[2] = mesh_->halfface_handle(f[2], 0);
    hf[3] = mesh_->halfface_handle(f[3], 0);
    mesh_->add_cell(hf);

    f[0] = faces_[SortedFace(v[3], v[5], v[7])];
    f[1] = faces_[SortedFace(v[3], v[6], v[7])];
    f[2] = faces_[SortedFace(v[5], v[6], v[7])];
    f[3] = faces_[SortedFace(v[3], v[5], v[6])];
    hf[0] = mesh_->halfface_handle(f[0], 1);
    hf[1] = mesh_->halfface_handle(f[1], 1);
    hf[2] = mesh_->halfface_handle(f[2], 1);
    hf[3] = mesh_->halfface_handle(f[3], 0);
    mesh_->add_cell(hf);

    f[0] = faces_[SortedFace(v[0], v[2], v[6])];
    f[1] = faces_[SortedFace(v[2], v[3], v[6])];
    f[2] = faces_[SortedFace(v[0], v[2], v[3])];
    f[3] = faces_[SortedFace(v[0], v[3], v[6])];
    hf[0] = mesh_->halfface_handle(f[0], 0);
    hf[1] = mesh_->halfface_handle(f[1], 1);
    hf[2] = mesh_->halfface_handle(f[2], 0);
    hf[3] = mesh_->halfface_handle(f[3], 0);
    mesh_->add_cell(hf);
}

void TetrahedralCuboidGenerator::add_cube_type_2_cells(std::size_t i, std::size_t j, std::size_t k,
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        std::vector<OpenVolumeMesh::VertexHandle> const& v)
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{
    std::vector<OpenVolumeMesh::FaceHandle> f(4);
    std::vector<OpenVolumeMesh::HalfFaceHandle> hf(4);

    // inner cell
    f[0] = faces_[SortedFace(v[1], v[2], v[4])];
    f[1] = faces_[SortedFace(v[1], v[4], v[7])];
    f[2] = faces_[SortedFace(v[1], v[2], v[7])];
    f[3] = faces_[SortedFace(v[2], v[4], v[7])];
    hf[0] = mesh_->halfface_handle(f[0], 1);
    hf[1] = mesh_->halfface_handle(f[1], 1);
    hf[2] = mesh_->halfface_handle(f[2], 1);
    hf[3] = mesh_->halfface_handle(f[3], 1);
    mesh_->add_cell(hf);

    f[0] = faces_[SortedFace(v[0], v[2], v[4])];
    f[1] = faces_[SortedFace(v[0], v[1], v[4])];
    f[2] = faces_[SortedFace(v[0], v[1], v[2])];
    f[3] = faces_[SortedFace(v[1], v[2], v[4])];
    hf[0] = mesh_->halfface_handle(f[0], 0);
    hf[1] = mesh_->halfface_handle(f[1], 0);
    hf[2] = mesh_->halfface_handle(f[2], 0);
    hf[3] = mesh_->halfface_handle(f[3], 0);
    mesh_->add_cell(hf);

    f[0] = faces_[SortedFace(v[1], v[5], v[7])];
    f[1] = faces_[SortedFace(v[1], v[4], v[5])];
    f[2] = faces_[SortedFace(v[4], v[5], v[7])];
    f[3] = faces_[SortedFace(v[1], v[4], v[7])];
    hf[0] = mesh_->halfface_handle(f[0], 1);
    hf[1] = mesh_->halfface_handle(f[1], 0);
    hf[2] = mesh_->halfface_handle(f[2], 1);
    hf[3] = mesh_->halfface_handle(f[3], 0);
    mesh_->add_cell(hf);

    f[0] = faces_[SortedFace(v[1], v[3], v[7])];
    f[1] = faces_[SortedFace(v[2], v[3], v[7])];
    f[2] = faces_[SortedFace(v[1], v[2], v[3])];
    f[3] = faces_[SortedFace(v[1], v[2], v[7])];
    hf[0] = mesh_->halfface_handle(f[0], 1);
    hf[1] = mesh_->halfface_handle(f[1], 1);
    hf[2] = mesh_->halfface_handle(f[2], 0);
    hf[3] = mesh_->halfface_handle(f[3], 0);
    mesh_->add_cell(hf);

    f[0] = faces_[SortedFace(v[2], v[4], v[6])];
    f[1] = faces_[SortedFace(v[2], v[6], v[7])];
    f[2] = faces_[SortedFace(v[4], v[6], v[7])];
    f[3] = faces_[SortedFace(v[2], v[4], v[7])];
    hf[0] = mesh_->halfface_handle(f[0], 0);
    hf[1] = mesh_->halfface_handle(f[1], 1);
    hf[2] = mesh_->halfface_handle(f[2], 1);
    hf[3] = mesh_->halfface_handle(f[3], 0);
    mesh_->add_cell(hf);
}

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TetrahedralCuboidGenerator::TetrahedralCuboidGenerator(PolyhedralMesh& mesh,
                                                            Vector const& position,
                                                            Vector const& length,
                                                            unsigned const n_x,
                                                            unsigned const n_y,
                                                            unsigned const n_z) :
  mesh_(&mesh)
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{
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    mesh_->clear(false);
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    size_[0] = n_x;
    size_[1] = n_y;
    size_[2] = n_z;

    add_vertices(position, length);
    add_faces();
    add_cells();

    vertices_.clear();
    faces_.clear();
}

#endif