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CGAL 6.1 - 3D Isosurfacing
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CGAL 6.1 - 3D Isosurfacing
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The concept IsosurfacingDomain_3 describes the set of requirements to be fulfilled by any class used as input data for isosurfacing algorithms.
A model of the concept IsosurfacingDomain_3 provides a partition of the Euclidean space in cells, and a scalar field defined over the whole partition. The isosurfacing algorithms traverse these cells and query the domain class at the vertices of each cell, using the functions point() and value().
IsosurfacingDomainWithGradient_3 Types | |
| typedef unspecified_type | Geom_traits |
| The geometric traits type. | |
| typedef Geom_traits::FT | FT |
| The scalar type. | |
| typedef Geom_traits::Point_3 | Point_3 |
| The 3D point type. | |
| typedef unspecified_type | vertex_descriptor |
| A descriptor that uniquely identifies a vertex. | |
| typedef unspecified_type | edge_descriptor |
| A descriptor that uniquely identifies an edge. | |
| typedef unspecified_type | cell_descriptor |
| A descriptor that uniquely identifies a cell. | |
| typedef unspecified_type | Edge_vertices |
| A container for the two vertices of an edge. | |
| typedef unspecified_type | Cells_incident_to_edge |
| A container for the cells incident to an edge. | |
| typedef unspecified_type | Cell_vertices |
| A container for the vertices of a cell. | |
| typedef unspecified_type | Cell_edges |
| A container for the edges of a cell. | |
Operations | |
| Geom_traits | geom_traits () |
| returns the geometric traits. | |
| Point_3 | point (vertex_descriptor v) const |
returns the 3D location of the vertex v. | |
| FT | value (Point_3 p) const |
returns the value of the value field at the point p. | |
| FT | value (vertex_descriptor v) const |
returns the value of the value field at the vertex v. | |
| Edge_vertices | incident_vertices (edge_descriptor e) const |
returns the two vertices incident to the edge e. | |
| Cells_incident_to_edge | incident_cells (edge_descriptor e) const |
returns all the cells incident to the edge e, in a clockwise or counterclockwise order. | |
| Cell_vertices | cell_vertices (cell_descriptor c) const |
returns all the vertices of the cell c. | |
| Cell_edges | cell_edges (cell_descriptor c) const |
returns all the edges of the cell c. | |
| template<typename ConcurrencyTag , typename Functor > | |
| void | for_each_vertex (Functor &f) const |
iterates over all vertices, and calls the functor f on each one. | |
| template<typename ConcurrencyTag , typename Functor > | |
| void | for_each_edge (Functor &f) const |
iterates over all edges, and calls the functor f on each one. | |
| template<typename ConcurrencyTag , typename Functor > | |
| void | for_each_cell (Functor &f) const |
iterates over all cells, and calls the functor f on each one. | |
| bool | construct_intersection (Point_3 p_0, Point_3 p_1, FT val_0, FT val_1, FT isovalue, Point_3 &p) const |
| Constructs the intersection - if it exists - between an edge and an isosurface. | |
A descriptor that uniquely identifies a cell.
Must be a model of the concepts Descriptor and Hashable.
A container for the edges of a cell.
Must be a model of the concept ForwardRange whose value type is edge_descriptor.
A container for the vertices of a cell.
Must be a model of the concept ForwardRange whose value type is vertex_descriptor.
A container for the cells incident to an edge.
Must be a model of the concept ForwardRange whose value type is cell_descriptor.
A descriptor that uniquely identifies an edge.
Must be a model of the concept Descriptor and Hashable.
A container for the two vertices of an edge.
Must be a model of the concept RandomAccessContainer of size 2 whose value type is vertex_descriptor.
The geometric traits type.
Must be a model of IsosurfacingTraits_3.
A descriptor that uniquely identifies a vertex.
Must be a model of the concepts Descriptor and Hashable.
| bool IsosurfacingDomain_3::construct_intersection | ( | Point_3 | p_0, |
| Point_3 | p_1, | ||
| FT | val_0, | ||
| FT | val_1, | ||
| FT | isovalue, | ||
| Point_3 & | p | ||
| ) | const |
Constructs the intersection - if it exists - between an edge and an isosurface.
| p_0 | the location of the first vertex of the edge |
| p_1 | the location of the second vertex of the edge |
| val_0 | the value at the first vertex of the edge |
| val_1 | the value at the second vertex of the edge |
| isovalue | the isovalue defining the isosurface with which we seek an intersection |
| p | the intersection point, if it exists |
true if the intersection point exists, false otherwise. | void IsosurfacingDomain_3::for_each_cell | ( | Functor & | f | ) | const |
iterates over all cells, and calls the functor f on each one.
| ConcurrencyTag | decides if the cells are iterated sequentially or in parallel. Can be either CGAL::Sequential_tag, CGAL::Parallel_if_available_tag, or CGAL::Parallel_tag. |
| Functor | must implement void operator()(cell_descriptor cell). |
| f | the functor called on every cell |
| void IsosurfacingDomain_3::for_each_edge | ( | Functor & | f | ) | const |
iterates over all edges, and calls the functor f on each one.
| ConcurrencyTag | decides if the edges are iterated sequentially or in parallel. Can be either CGAL::Sequential_tag, CGAL::Parallel_if_available_tag, or CGAL::Parallel_tag. |
| Functor | must implement void operator()(edge_descriptor edge). |
| f | the functor called on every edge |
| void IsosurfacingDomain_3::for_each_vertex | ( | Functor & | f | ) | const |
iterates over all vertices, and calls the functor f on each one.
| ConcurrencyTag | decides if the vertices are iterated sequentially or in parallel. Can be either CGAL::Sequential_tag, CGAL::Parallel_if_available_tag, or CGAL::Parallel_tag. |
| Functor | must implement void operator()(vertex_descriptor vertex) |
| f | the functor called on every vertex |
1.9.6