Cite Behar & Lien's paper in reduced convolution M-sum method documentation

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Sebastian Morr 2014-08-13 14:24:33 +02:00
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@ -2335,6 +2335,15 @@ ADDRESS = "Saarbr{\"u}cken, Germany"
series = {Texts and Monographs in Symbolic Computation}
}
@conference {cgal:bl-frmsurc-11
,address = {San Francisco, CA}
,author = {Evan Behar and Jyh-Ming Lien}
,booktitle = {Proc. {IEEE} Int. Conf. Intel. Rob. Syst. ({IROS})}
,month = {Sep.}
,title = {Fast and Robust 2D Minkowski Sum Using Reduced Convolution}
,year = {2011}
}
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@ -22,11 +22,13 @@ const Polygon_2<Kernel,Container>& Q);
/*!
\ingroup PkgMinkowskiSum2
Computes the Minkowski sum \f$ P \oplus Q\f$ of the two given polygons.
The function computes the reduced convolution of the two polygons and
extracts those loops of the convolution which are part of the Minkowsi
sum. This method works very efficiently, regardless of whether `P` and
`Q` are convex or non-convex.
Computes the Minkowski sum \f$ P \oplus Q\f$ of the two given polygons. The
function computes the reduced convolution \cgalCite{cgal:bl-frmsurc-11} of
the two polygons and extracts those loops of the convolution which are part of
the Minkowsi sum. This method works very efficiently, regardless of whether `P`
and `Q` are convex or non-convex. It is usually faster than the full
convolution method, except in degenerate cases where the output polygon has
many holes.
Note that as the input polygons may not be convex, their Minkowski
sum may not be a simple polygon. The result is therefore represented
as a polygon with holes.