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Cite Behar & Lien's paper in reduced convolution M-sum method documentation
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@ -2335,6 +2335,15 @@ ADDRESS = "Saarbr{\"u}cken, Germany"
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series = {Texts and Monographs in Symbolic Computation}
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series = {Texts and Monographs in Symbolic Computation}
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}
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}
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@conference {cgal:bl-frmsurc-11
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,address = {San Francisco, CA}
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,author = {Evan Behar and Jyh-Ming Lien}
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,booktitle = {Proc. {IEEE} Int. Conf. Intel. Rob. Syst. ({IROS})}
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,month = {Sep.}
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,title = {Fast and Robust 2D Minkowski Sum Using Reduced Convolution}
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,year = {2011}
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}
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@ -22,11 +22,13 @@ const Polygon_2<Kernel,Container>& Q);
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/*!
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/*!
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\ingroup PkgMinkowskiSum2
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\ingroup PkgMinkowskiSum2
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Computes the Minkowski sum \f$ P \oplus Q\f$ of the two given polygons.
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Computes the Minkowski sum \f$ P \oplus Q\f$ of the two given polygons. The
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The function computes the reduced convolution of the two polygons and
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function computes the reduced convolution \cgalCite{cgal:bl-frmsurc-11} of
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extracts those loops of the convolution which are part of the Minkowsi
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the two polygons and extracts those loops of the convolution which are part of
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sum. This method works very efficiently, regardless of whether `P` and
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the Minkowsi sum. This method works very efficiently, regardless of whether `P`
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`Q` are convex or non-convex.
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and `Q` are convex or non-convex. It is usually faster than the full
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convolution method, except in degenerate cases where the output polygon has
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many holes.
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Note that as the input polygons may not be convex, their Minkowski
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Note that as the input polygons may not be convex, their Minkowski
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sum may not be a simple polygon. The result is therefore represented
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sum may not be a simple polygon. The result is therefore represented
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as a polygon with holes.
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as a polygon with holes.
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