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\begin{ccPkgDescription}{Halfedge Data Structures \label{Pkg:HDS}}
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\ccPkgHowToCiteCgal{cgal:k-hds-07}
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\ccPkgSummary{A halfedge data structure is an edge-centered data structure
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capable of maintaining incidence informations of vertices, edges and
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capable of maintaining incidence information of vertices, edges and
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faces, for example for planar maps, polyhedra, or other orientable,
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two-dimensional surfaces embedded in arbitrary dimension. Each edge is
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decomposed into two halfedges with opposite orientations. One incident
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face and one incident vertex are stored in each halfedge. For each
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face and each vertex, one incident halfedge is stored. Reduced
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variants of the halfedge data structure can omit some of these
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informations, for example the halfedge pointers in faces or the
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information, for example the halfedge pointers in faces or the
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storage of faces at all.}
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%\ccPkgDependsOn{}
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@ -36,14 +36,14 @@
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A halfedge data structure (abbreviated as \ccc{HalfedgeDS}, or
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\ccc{HDS} for template parameters) is an edge-centered data structure
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capable of maintaining incidence informations of vertices, edges and
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capable of maintaining incidence information of vertices, edges and
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faces, for example for planar maps, polyhedra, or other orientable,
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two-dimensional surfaces embedded in arbitrary dimension. Each edge is
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decomposed into two halfedges with opposite orientations. One incident
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face and one incident vertex are stored in each halfedge. For each
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face and each vertex, one incident halfedge is stored. Reduced
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variants of the halfedge data structure can omit some of these
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informations, for example the halfedge pointers in faces or the
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information, for example the halfedge pointers in faces or the
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storage of faces at all.
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% \begin{ccTexOnly}
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@ -36,7 +36,7 @@ deprecated packages. The two designs are not interchangeable.
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The concept of a halfedge data structure (abbreviated as \ccc{HalfedgeDS}, or
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\ccc{HDS} for template parameters) defines an edge-centered data structure
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capable of maintaining incidence informations of vertices, edges, and
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capable of maintaining incidence information of vertices, edges, and
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faces, for example for planar maps or polyhedral surfaces. It is a
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combinatorial data structure, geometric interpretation is added by
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classes built on top of the halfedge data structure.
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@ -18,7 +18,7 @@
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A halfedge data structure (abbreviated as \ccc{HalfedgeDS}, or
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\ccc{HDS} for template parameters) is an edge-centered data structure
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capable of maintaining incidence informations of vertices, edges and
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capable of maintaining incidence information of vertices, edges and
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faces, for example for planar maps or polyhedral surfaces. It is a
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combinatorial data structure, geometric interpretation is added by
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classes built on top of the halfedge data structure. These classes
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