mirror of https://github.com/CGAL/cgal
replace markdown subsections by \cgalHeading
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@ -43,8 +43,7 @@ vertices as a source and target. It is possible to filter border edges
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using `boost::filtered_graph` as shown in example
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\ref BGL_surface_mesh/surface_mesh_dual.cpp
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Property forwarding
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-------------------
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\cgalHeading{Property Forwarding}
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\cgalAdvancedBegin
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Edge properties of the underlying graph are forwarded directly. For
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faces and vertices only the `face_index` and `vertex_index` properties
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@ -118,8 +118,7 @@ The class `Graph_with_descriptor_with_graph` wraps a graph into another graph in
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For example, calling `source(edge, graph)` will trigger an assertion if `edge` does not belong to `graph`.
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It is mainly used for debugging purposes.
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Property forwarding
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-------------------
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\cgalHeading{Property Forwarding}
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All internal properties of the underlying graph are forwarded.
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Property maps can be wrapped with `Graph_with_descriptor_with_graph_property_map`.
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@ -236,7 +236,7 @@ bool is_convex_2(ForwardIterator first,
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/// - `orientation_2_object()`
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/// \tparam ForwardIterator must have `PolygonTraits::Point_2` as value type.
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///
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/// ### Implementation##
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/// \cgalHeading{Implementation}
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///
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/// The simplicity test is implemented by means of a plane sweep algorithm.
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/// The algorithm is quite robust when used with inexact number types.
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@ -299,7 +299,7 @@ Oriented_side oriented_side_2(ForwardIterator first,
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/// - `orientation_2_object()`
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/// \tparam ForwardIterator must have `Traits::Point_2` as value type.
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///
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/// ### Implementation ###
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/// \cgalHeading{Implementation}
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///
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/// The running time is linear in the number of vertices of the polygon.
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/// A horizontal ray is taken to count the number of intersections.
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@ -8,10 +8,6 @@ whether a vertex can be removed, and the cost of the removal.
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\cgalRefines `TriangulationVertexBase_2`
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### Types ###
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Defines the same types as the `TriangulationVertexBase_2` concept
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\cgalHasModel `CGAL::Polyline_simplification_2::Vertex_base_2<Vb>`
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\sa `TriangulationFaceBase_2`
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@ -86,8 +86,7 @@ The class `Eigen_solver_traits` provides an interface to the sparse solvers of \
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\sa `CGAL::Eigen_vector<T>`
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\sa http://eigen.tuxfamily.org
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Example
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--------------
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\cgalHeading{Instantiation Example}
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The instantiation of this class assumes an \ref thirdpartyEigen "Eigen" sparse solver is provided. Here are few examples:
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@ -8,8 +8,7 @@ of mesh, `TriangleMesh`, which must be a model of the `FaceGraph` concept.
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Border parameterizers are also models of this concept but they only parameterize
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the border of a given mesh.
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Creation
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--------------
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\cgalHeading{Creation}
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Construction and destruction are undefined.
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@ -37,8 +37,7 @@ The triangulation deduces its maximal dimension from the type
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the dimension returned by
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`TriangulationDataStructure_::maximal_dimension()`.
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Input/Output
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--------------
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\cgalHeading{Input/Output}
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The information in the `iostream` is: the current dimension, the number of
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finite vertices, the non-combinatorial information about vertices (point,
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@ -43,8 +43,7 @@ See the user manual for how to choose the second option.
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\cgalModels `TriangulationDSFullCell`
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Rebind mechanism
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--------------
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\cgalHeading{Rebind mechanism}
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In case of derivation from that class, the nested class
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`Rebind_TDS` need to be provided in the derived class.
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@ -23,8 +23,7 @@ example).
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\cgalModels `TriangulationDSVertex`
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Rebind Mechanism
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--------------
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\cgalHeading{Rebind mechanism}
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In case of derivation from that class, the nested class
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`Rebind_TDS` need to be provided in the derived class.
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@ -47,8 +47,7 @@ We call a \f$ 0\f$-simplex a <I>vertex</I>, a \f$ (d-1)\f$-simplex a <I>facet</I
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Two full cells are <I>neighbors</I> if they share a facet. Two faces are
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<I>incident</I> if one is included in the other.
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Input/Output
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--------------
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\cgalHeading{Input/Output}
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The information stored in the `iostream` is:
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@ -14,8 +14,7 @@ an association of the vertex with a geometric point.
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\cgalHasModel `CGAL::Triangulation_vertex<TriangulationTraits_, Data, TriangulationDSVertex_>`
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Input/Output
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--------------
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\cgalHeading{Input/Output}
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These operators can be used directly and are called by the I/O
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operator of class `Triangulation`.
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