Spell check.

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Sylvain Pion 2007-04-17 16:31:42 +00:00
parent 35e3109822
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\begin{ccPkgDescription}{Halfedge Data Structures \label{Pkg:HDS}} \begin{ccPkgDescription}{Halfedge Data Structures \label{Pkg:HDS}}
\ccPkgHowToCiteCgal{cgal:k-hds-07} \ccPkgHowToCiteCgal{cgal:k-hds-07}
\ccPkgSummary{A halfedge data structure is an edge-centered data structure \ccPkgSummary{A halfedge data structure is an edge-centered data structure
capable of maintaining incidence informations of vertices, edges and capable of maintaining incidence information of vertices, edges and
faces, for example for planar maps, polyhedra, or other orientable, faces, for example for planar maps, polyhedra, or other orientable,
two-dimensional surfaces embedded in arbitrary dimension. Each edge is two-dimensional surfaces embedded in arbitrary dimension. Each edge is
decomposed into two halfedges with opposite orientations. One incident decomposed into two halfedges with opposite orientations. One incident
face and one incident vertex are stored in each halfedge. For each face and one incident vertex are stored in each halfedge. For each
face and each vertex, one incident halfedge is stored. Reduced face and each vertex, one incident halfedge is stored. Reduced
variants of the halfedge data structure can omit some of these variants of the halfedge data structure can omit some of these
informations, for example the halfedge pointers in faces or the information, for example the halfedge pointers in faces or the
storage of faces at all.} storage of faces at all.}
%\ccPkgDependsOn{} %\ccPkgDependsOn{}

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A halfedge data structure (abbreviated as \ccc{HalfedgeDS}, or A halfedge data structure (abbreviated as \ccc{HalfedgeDS}, or
\ccc{HDS} for template parameters) is an edge-centered data structure \ccc{HDS} for template parameters) is an edge-centered data structure
capable of maintaining incidence informations of vertices, edges and capable of maintaining incidence information of vertices, edges and
faces, for example for planar maps, polyhedra, or other orientable, faces, for example for planar maps, polyhedra, or other orientable,
two-dimensional surfaces embedded in arbitrary dimension. Each edge is two-dimensional surfaces embedded in arbitrary dimension. Each edge is
decomposed into two halfedges with opposite orientations. One incident decomposed into two halfedges with opposite orientations. One incident
face and one incident vertex are stored in each halfedge. For each face and one incident vertex are stored in each halfedge. For each
face and each vertex, one incident halfedge is stored. Reduced face and each vertex, one incident halfedge is stored. Reduced
variants of the halfedge data structure can omit some of these variants of the halfedge data structure can omit some of these
informations, for example the halfedge pointers in faces or the information, for example the halfedge pointers in faces or the
storage of faces at all. storage of faces at all.
% \begin{ccTexOnly} % \begin{ccTexOnly}

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@ -36,7 +36,7 @@ deprecated packages. The two designs are not interchangeable.
The concept of a halfedge data structure (abbreviated as \ccc{HalfedgeDS}, or The concept of a halfedge data structure (abbreviated as \ccc{HalfedgeDS}, or
\ccc{HDS} for template parameters) defines an edge-centered data structure \ccc{HDS} for template parameters) defines an edge-centered data structure
capable of maintaining incidence informations of vertices, edges, and capable of maintaining incidence information of vertices, edges, and
faces, for example for planar maps or polyhedral surfaces. It is a faces, for example for planar maps or polyhedral surfaces. It is a
combinatorial data structure, geometric interpretation is added by combinatorial data structure, geometric interpretation is added by
classes built on top of the halfedge data structure. classes built on top of the halfedge data structure.

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A halfedge data structure (abbreviated as \ccc{HalfedgeDS}, or A halfedge data structure (abbreviated as \ccc{HalfedgeDS}, or
\ccc{HDS} for template parameters) is an edge-centered data structure \ccc{HDS} for template parameters) is an edge-centered data structure
capable of maintaining incidence informations of vertices, edges and capable of maintaining incidence information of vertices, edges and
faces, for example for planar maps or polyhedral surfaces. It is a faces, for example for planar maps or polyhedral surfaces. It is a
combinatorial data structure, geometric interpretation is added by combinatorial data structure, geometric interpretation is added by
classes built on top of the halfedge data structure. These classes classes built on top of the halfedge data structure. These classes