mirror of https://github.com/CGAL/cgal
Replace $d$D by $d$-dimensional (remark of Andreas).
This commit is contained in:
parent
058d43a0fb
commit
38428ec768
|
|
@ -5,16 +5,16 @@
|
||||||
\newcommand{\nulldart}{\texttt{null\_dart\_handle}}
|
\newcommand{\nulldart}{\texttt{null\_dart\_handle}}
|
||||||
|
|
||||||
\section{Introduction}
|
\section{Introduction}
|
||||||
A $d$D combinatorial map is a data structure representing an
|
A $d$-dimensional combinatorial map is a data structure representing
|
||||||
orientable subdivided $d$D % \emph{quasi-manifold}, \emph{i.e.} a $d$D
|
an orientable subdivided $d$-dimensional object obtained by taking
|
||||||
object obtained by taking $d$D cells, and allowing to glue $d$D cells
|
$d$D cells, and allowing to glue $d$D cells along $(d-1)$D cells. It
|
||||||
along $(d-1)$D cells. It provides a description of all the cells of
|
provides a description of all the cells of the subdivision (for
|
||||||
the subdivision (for example vertices and edges), together with incidence
|
example vertices and edges), together with incidence and adjacency
|
||||||
and adjacency relationships. This package is a generalization of the
|
relationships. This package is a generalization of the halfedge data
|
||||||
halfedge data structure to higher dimension.\footnote{A 2D
|
structure to higher dimension.\footnote{A 2D combinatorial map is
|
||||||
combinatorial map is equivalent to a halfedge data structure: there
|
equivalent to a halfedge data structure: there is a one-to-one
|
||||||
is a one-to-one mapping between elements of both data structures,
|
mapping between elements of both data structures, halfedges
|
||||||
halfedges corresponding to darts.}
|
corresponding to darts.}
|
||||||
|
|
||||||
We denote $i$-cell for an $i$-dimensional cell (for example in 3D,
|
We denote $i$-cell for an $i$-dimensional cell (for example in 3D,
|
||||||
0-cells are \emph{vertices}, 1-cells are \emph{edges}, 2-cells are
|
0-cells are \emph{vertices}, 1-cells are \emph{edges}, 2-cells are
|
||||||
|
|
|
||||||
Loading…
Reference in New Issue