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added default traits parameter

This commit is contained in:
Efi Fogel 2014-10-23 12:19:36 +03:00
parent 7f14950322
commit da2e1357e1
1 changed files with 32 additions and 27 deletions
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59
Minkowski_sum_2/doc/Minkowski_sum_2/CGAL/minkowski_sum_2.h
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@ -53,32 +53,13 @@ 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.
\pre Both `P` and `Q` are simple polygons.
*/
template<class Kernel, class Container>
Polygon_with_holes_2<Kernel,Container>
minkowski_sum_full_convolution_2 (const Polygon_2<Kernel,Container>& P,
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 (full) convolution cycles of the two polygons and
extract the regions having positive winding number with respect to these
cycles. This method work very efficiently, regardless of whether `P`
and `Q` are convex or non-convex.
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.
\pre Both `P` and `Q` are simple polygons.
*/
template<class Kernel, class Container>
Polygon_with_holes_2<Kernel,Container>
minkowski_sum_full_convolution_2(const Polygon_2<Kernel,Container>& P,
const Polygon_2<Kernel,Container>& Q,
const Kernel& kernel);
const Kernel& kernel = Kernel());
/*!
\ingroup PkgMinkowskiSum2
@ -96,18 +77,41 @@ sum may not be a simple polygon. The result is therefore represented
as a polygon with holes.
\pre Both `P` and `Q` are simple polygons.
*/
template<class Kernel, class Container,
class PolygonConvexDecomposition_2>
template<class Kernel, class Container, class PolygonConvexDecomposition_2>
Polygon_with_holes_2<Kernel,Container>
minkowski_sum_2 (const Polygon_2<Kernel,Container>& P,
const Polygon_2<Kernel,Container>& Q,
const PolygonConvexDecomposition_2& decomp);
const PolygonConvexDecomposition_2& decomp,
const Gps_segment_traits_2& traits = Gps_segment_traits_2<Kernel,Container,Arr_segment_traits>());
/*!
\ingroup PkgMinkowskiSum2
Computes the Minkowski sum \f$ P \oplus Q\f$ of the two given polygons.
If the input polygons `P` and `Q` are not convex, the function
Computes the Minkowski sum \f$ P \oplus Q\f$ of polygon \f$ P\f$ and the
polygon with holes \f$ Q\f$. If the input polygons `P` and `Q` are not
convex, the function decomposes them into convex sub-polygons
\f$ P_1, \ldots, P_k\f$ and \f$ Q_1, \ldots, Q_{\ell}\f$ and computes
the union of pairwise sub-sums (namely \f$ \bigcup_{i,j}{(P_i \oplus Q_j)}\f$).
The decomposition is performed using the given decomposition method
`decomp`, which must be an instance of a class template that models the
concept `PolygonWithHolesConvexDecomposition_2`.
Note that as the input polygons may not be convex, their Minkowski
sum may not be a simple polygon. The result is therefore represented
as a polygon with holes.
*/
template<class Kernel, class Container,
class PolygonWithHolesConvexDecomposition_2>
Polygon_with_holes_2<Kernel,Container>
minkowski_sum_2 (const Polygon_2<Kernel,Container>& P,
const Polygon_with_holes_2<Kernel,Container>& Q,
const PolygonWithHolesConvexDecomposition_2& decomp,
const Gps_segment_traits_2& traits = Gps_segment_traits_2<Kernel,Container,Arr_segment_traits>());
/*!
\ingroup PkgMinkowskiSum2
Computes the Minkowski sum \f$ P \oplus Q\f$ of the two given polygons with
holes. If the input polygons `P` and `Q` are not convex, the function
decomposes them into convex sub-polygons \f$ P_1, \ldots, P_k\f$ and
\f$ Q_1, \ldots, Q_{\ell}\f$ and computes the union of pairwise sub-sums
(namely \f$ \bigcup_{i,j}{(P_i \oplus Q_j)}\f$).
@ -119,10 +123,11 @@ sum may not be a simple polygon. The result is therefore represented
as a polygon with holes.
*/
template<class Kernel, class Container,
class PolygonWithHolesConvexDecomposition_2>
class PolygonWithHolesConvexDecomposition_2>
Polygon_with_holes_2<Kernel,Container>
minkowski_sum_2 (const Polygon_with_holes_2<Kernel,Container>& P,
const Polygon_with_holes_2<Kernel,Container>& Q,
const PolygonWithHolesConvexDecomposition_2& decomp);
const PolygonWithHolesConvexDecomposition_2& decomp,
const Gps_segment_traits_2& traits = Gps_segment_traits_2<Kernel,Container,Arr_segment_traits>());
} /* namespace CGAL */