CGAL 5.5.2 - Planar Parameterization of Triangulated Surface Meshes
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#include <CGAL/Surface_mesh_parameterization/Square_border_parameterizer_3.h>
Inherited by CGAL::Surface_mesh_parameterization::Square_border_arc_length_parameterizer_3< TriangleMesh_ >, and CGAL::Surface_mesh_parameterization::Square_border_uniform_parameterizer_3< TriangleMesh_ >.
This is the base class of strategies that parameterize the border of a 3D surface onto a square.
Square_border_parameterizer_3
is a pure virtual class, thus cannot be instantiated. It implements most of the algorithm. Subclasses only have to implement the function compute_edge_length()
to compute a segment's length.
The user can provide four vertices on the border of the mesh, which will be mapped to the four corners of the square.
1
and if it is mapped to the same edge of the square as its two adjacent (border) vertices, for example.Implementation note: To simplify the implementation, the border parameterizer knows only the TriangleMesh
class and does not know the parameterization algorithm requirements or the kind of sparse linear system used.
TriangleMesh_ | must be a model of FaceGraph . |
Public Types | |
typedef TriangleMesh_ | Triangle_mesh |
Triangle mesh type. | |
typedef boost::graph_traits< Triangle_mesh >::vertex_descriptor | vertex_descriptor |
Mesh vertex type. | |
typedef boost::graph_traits< Triangle_mesh >::halfedge_descriptor | halfedge_descriptor |
Mesh halfedge type. | |
Public Member Functions | |
template<typename VertexUVMap , typename VertexIndexMap , typename VertexParameterizedMap > | |
Error_code | parameterize (const Triangle_mesh &mesh, halfedge_descriptor bhd, VertexUVMap uvmap, VertexIndexMap, VertexParameterizedMap vpmap) |
assigns to the vertices of the border of the mesh a 2D position (i.e. a (u,v) pair) on the border's shape. More... | |
bool | is_border_convex () const |
indicates if the border's shape is convex. | |
Square_border_parameterizer_3 () | |
Constructor. | |
Square_border_parameterizer_3 (vertex_descriptor v0, vertex_descriptor v1, vertex_descriptor v2, vertex_descriptor v3) | |
Constructor with user-defined corners: the user provides four vertices of the border of the mesh, which will be parameterized to the corners of the square. More... | |
CGAL::Surface_mesh_parameterization::Square_border_parameterizer_3< TriangleMesh_ >::Square_border_parameterizer_3 | ( | vertex_descriptor | v0, |
vertex_descriptor | v1, | ||
vertex_descriptor | v2, | ||
vertex_descriptor | v3 | ||
) |
Constructor with user-defined corners: the user provides four vertices of the border of the mesh, which will be parameterized to the corners of the square.
Error_code CGAL::Surface_mesh_parameterization::Square_border_parameterizer_3< TriangleMesh_ >::parameterize | ( | const Triangle_mesh & | mesh, |
halfedge_descriptor | bhd, | ||
VertexUVMap | uvmap, | ||
VertexIndexMap | , | ||
VertexParameterizedMap | vpmap | ||
) |
assigns to the vertices of the border of the mesh a 2D position (i.e. a (u,v) pair) on the border's shape.
Mark them as parameterized.
VertexUVmap | must be a model of ReadWritePropertyMap with boost::graph_traits<Triangle_mesh>::vertex_descriptor as key type and Point_2 (type deduced from Triangle_mesh using Kernel_traits ) as value type. |
VertexIndexMap | must be a model of ReadablePropertyMap with boost::graph_traits<Triangle_mesh>::vertex_descriptor as key type and a unique integer as value type. |
VertexParameterizedMap | must be a model of ReadWritePropertyMap with boost::graph_traits<Triangle_mesh>::vertex_descriptor as key type and a Boolean as value type. |
mesh | a triangulated surface. |
bhd | a halfedge descriptor on the boundary of mesh . |
uvmap | an instanciation of the class VertexUVmap . |
vpmap | an instanciation of the class VertexParameterizedMap . |
mesh
must be a triangular mesh.