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"piecewise linear complex" in lowercase
Suggested by Andreas
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@ -23,7 +23,7 @@ results in a _conforming_ triangulation.
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This package implements an algorithm for constructing conforming triangulations of 3D polygonal
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This package implements an algorithm for constructing conforming triangulations of 3D polygonal
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constraints. Specifically, it requires that these piecewise linear constraints are provided as a
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constraints. Specifically, it requires that these piecewise linear constraints are provided as a
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_Piecewise Linear Complex_ (PLC). The resulting triangulations are of type `Triangulation_3`,
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_piecewise linear complex_ (PLC). The resulting triangulations are of type `Triangulation_3`,
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as described in the chapter \ref PkgTriangulation3.
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as described in the chapter \ref PkgTriangulation3.
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The article by Cohen-Steiner et al. \cgalCite{cgal:cohen2002conforming} discusses the problem of
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The article by Cohen-Steiner et al. \cgalCite{cgal:cohen2002conforming} discusses the problem of
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@ -38,7 +38,7 @@ This section introduces the key concepts necessary to understand and use this pa
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\subsection CT_3_PLC Piecewise Linear Complex
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\subsection CT_3_PLC Piecewise Linear Complex
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A _Piecewise Linear Complex_ (PLC) is the three-dimensional generalization of a
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A _piecewise linear complex_ (PLC) is the three-dimensional generalization of a
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planar straight-line graph. It consists of a finite set of vertices, edges, and polygons (faces)
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planar straight-line graph. It consists of a finite set of vertices, edges, and polygons (faces)
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that satisfy the following properties:
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that satisfy the following properties:
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@ -56,7 +56,7 @@ Polygons in a PLC may be non-convex, may have holes, and may have arbitrarily ma
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<img src="plc.png" style="max-width:60%;"/>
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<img src="plc.png" style="max-width:60%;"/>
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</center>
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</center>
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\cgalFigureCaptionBegin{CT_3_plc_fig}
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\cgalFigureCaptionBegin{CT_3_plc_fig}
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A Piecewise Linear Complex, composed of planar faces connected by edges and vertices.
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A piecewise linear complex, composed of planar faces connected by edges and vertices.
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\cgalFigureCaptionEnd
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\cgalFigureCaptionEnd
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