mirror of https://github.com/CGAL/cgal
Describe what concepts are for
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\brief The concept `IsosurfacingDomainWithGradient_3` describes the set of requirements to be
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\brief The concept `IsosurfacingDomainWithGradient_3` describes the set of requirements to be
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fulfilled by any class used as input data for some isosurfacing algorithms.
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fulfilled by any class used as input data for some isosurfacing algorithms.
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This concept refines `IsosurfacingDomain_3` to add a `gradient()` function which is used
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by isosurfacing domains to query the domain for the gradient of the implicit function
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at a 3D point (not necessarily a vertex) in space.
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\cgalHasModel `CGAL::Isosurfacing::Explicit_Cartesian_grid_domain_3`
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\cgalHasModel `CGAL::Isosurfacing::Explicit_Cartesian_grid_domain_3`
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\cgalHasModel `CGAL::Isosurfacing::Implicit_Cartesian_grid_domain_3`
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\cgalHasModel `CGAL::Isosurfacing::Implicit_Cartesian_grid_domain_3`
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*/
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*/
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\cgalConcept
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\cgalConcept
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The concept `IsosurfacingDomain_3` describes the set of requirements to be
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\brief The concept `IsosurfacingDomain_3` describes the set of requirements to be
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fulfilled by any class used as input data for any isosurfacing algorithms.
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fulfilled by any class used as input data for isosurfacing algorithms.
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A model of the concept `IsosurfacingDomain_3` provides a discrete representation
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of an implicit function through a partition of the Euclidean space in cells.
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The isosurfacing algorithms will traverse these cells and query the domain class
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at the vertices of each cell, using the functions `point()` and `value()`.
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\cgalHasModel `CGAL::Isosurfacing::Explicit_Cartesian_grid_domain_3`
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\cgalHasModel `CGAL::Isosurfacing::Explicit_Cartesian_grid_domain_3`
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\cgalHasModel `CGAL::Isosurfacing::Implicit_Cartesian_grid_domain_3`
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\cgalHasModel `CGAL::Isosurfacing::Implicit_Cartesian_grid_domain_3`
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@ -57,19 +62,19 @@ public:
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/*!
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/*!
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A container for the cells incident to an edge.
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A container for the cells incident to an edge.
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Must be a model of the concept `Container` whose value type is `Cell_descriptor`.
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Must be a model of the concept `Range` whose value type is `Cell_descriptor`.
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*/
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*/
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typedef unspecified_type Cells_incident_to_edge;
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typedef unspecified_type Cells_incident_to_edge;
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/*!
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/*!
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A container for the vertices of a cell.
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A container for the vertices of a cell.
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Must be a model of the concept `Container` whose value type is `Vertex_descriptor`.
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Must be a model of the concept `Range` whose value type is `Vertex_descriptor`.
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*/
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*/
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typedef unspecified_type Cell_vertices;
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typedef unspecified_type Cell_vertices;
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/*!
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/*!
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A container for the edges of a cell.
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A container for the edges of a cell.
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Must be a model of the concept `Container` whose value type is `Edge_descriptor`.
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Must be a model of the concept `Range` whose value type is `Edge_descriptor`.
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*/
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*/
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typedef unspecified_type Cell_edges;
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typedef unspecified_type Cell_edges;
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@ -91,7 +96,7 @@ public:
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Point_3 point(const Vertex_descriptor& v) const;
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Point_3 point(const Vertex_descriptor& v) const;
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/*!
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/*!
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gets the value of the function at a vertex
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gets the value of the implicit function at a vertex
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*/
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*/
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FT value(const Vertex_descriptor& v) const;
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FT value(const Vertex_descriptor& v) const;
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@ -4,7 +4,7 @@
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\cgalConcept
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\cgalConcept
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The concept `IsosurfacingTraits_3` describes the set of requirements to be
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The concept `IsosurfacingTraits_3` describes the set of requirements to be
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fulfilled by any traits class of a model of `IsosurfacingDomain_3`.
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fulfilled by the traits class of a model of `IsosurfacingDomain_3`.
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\cgalHasModel All models of `Kernel`.
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\cgalHasModel All models of `Kernel`.
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*/
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*/
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