mirror of https://github.com/CGAL/cgal
Merge Width_3 and parts of Matrix_search into Polytope_distance_d.
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@ -209,7 +209,7 @@ that the $<\!<$-operator has to been overloaded for \ccc{Point_3},
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\ccExample
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\ccIndexSubitem[C]{Width_3}{example}
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\ccIncludeExampleCode{Width_3/width_simplex.cpp}
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\ccIncludeExampleCode{Polytope_distance_d/width_simplex.cpp}
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% -----------------------------------------------------------------------------
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@ -72,7 +72,7 @@
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\ccc{points_begin[0]} is \ccc{points_begin[4]}, the furthest
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neighbor of \ccc{points_begin[1]} is \ccc{points_begin[7]} etc.).
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\ccIncludeExampleCode{Matrix_search/all_furthest_neighbors_2.cpp}
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\ccIncludeExampleCode{Polytope_distance_d/all_furthest_neighbors_2.cpp}
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\end{ccRefFunction}
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\begin{ccRefConcept}{AllFurthestNeighborsTraits_2}
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@ -1,2 +1,4 @@
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Algorithm for computing the (squared) distance between two convex polytopes
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in arbitrary dimension
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Algorithm for computing the (squared) distance between two convex
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polytopes in arbitrary dimension and algorithm to determine the width
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of a three dimensional point set, that is two parallel supporting
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planes are computed having minimum distance.
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@ -1 +1,6 @@
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Michael Hoffmann <hoffmann@inf.ethz.ch>
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Width_3
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-------
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Thomas Herrmann <herrmann@ifor.math.ethz.ch>
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Michael Hoffmann <hoffmann@inf.ethz.ch>
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@ -1 +0,0 @@
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ETH Zurich (Switzerland).
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@ -1,2 +0,0 @@
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This package determines the width of a three dimensional point set,
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that is two parallel supporting planes are computed having minimum distance.
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@ -1 +0,0 @@
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GPL (v3 or later)
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@ -1,16 +0,0 @@
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The width of a three dimensional point set is defined as the minimum
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distance between two parallel planes of support of the point set. The
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convex hull is computed to simplify the search for such two
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planes. Note that these width-planes are not unique; there might exist more
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than one pair of parallel supporting planes, all having the same
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distance.
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For the convex hull computation the three dimensional convex hull
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algorithm of CGAL itself have been used. But this calculation requires
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LEDA, so LEDA is required for the width computation of a set of points
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too. But if the convex hull has been determined elsewhere and if this
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hull is represented by an halfedge data structure then the width can
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be computed without any use of LEDA. But the STL has been used instead
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for some data structures.
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@ -1,2 +0,0 @@
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Thomas Herrmann <herrmann@ifor.math.ethz.ch>
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Michael Hoffmann <hoffmann@inf.ethz.ch>
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