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Merge branch 'Triangulation_3-CDT_3-lrineau' of https://github.com/lrineau/cgal into Triangulation_3-CDT_3-lrineau
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2e26fdcc5f
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@ -46,7 +46,7 @@ that satisfy the following properties:
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shared vertex.
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- The boundary of each polygonal face in the PLC is an ordered list of vertices from the PLC, forming
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one closed loop.
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- Each polygonal face must be a simple polygon, i.e. its edges don't intersect,
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- Each polygonal face must be a simple polygon, i.e., its edges don't intersect,
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except consecutive edges, which intersect at their common vertex.
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- Each polygonal face may have one or more holes, each of them also represented by an ordered list of vertices
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from the PLC, forming a closed loop.
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@ -82,7 +82,7 @@ joining them does not intersect any polygonal face of the PLC, except for polygo
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the segment.
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In 3D, constrained triangulations do not always exist. This can be demonstrated using the example of
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Schönhardt polyhedra \cgalCite{schonhardt1928zerlegung} (see \cgalFigureRef{CT_3_schonhardt_fig}),
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Schönhardt polyhedra \cgalCite{s-udzvd-28} (see \cgalFigureRef{CT_3_schonhardt_fig}),
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\cgalCite{b-ip-48a}. Shewchuk \cgalCite{cgal:shewchuk1998condition} demonstrated that for any PLC,
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there exists a refined
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version of the original PLC that admits a constrained Delaunay triangulation. This refinement is
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@ -152087,16 +152087,6 @@ keywords = {polygonal surface mesh, Surface reconstruction, kinetic framework, s
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publisher={Elsevier}
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}
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@article{schonhardt1928zerlegung,
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title={{\"U}ber die Zerlegung von Dreieckspolyedern in Tetraeder},
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author={Sch{\"o}nhardt, Erich},
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journal={Mathematische Annalen},
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volume={98},
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number={1},
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pages={309--312},
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year={1928},
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publisher={Springer}
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}
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@inproceedings{si2005meshing,
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title={Meshing piecewise linear complexes by constrained {Delaunay} tetrahedralizations},
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