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Cleaned up

This commit is contained in:
Efi Fogel 2015-05-03 15:11:10 +03:00
parent 3ecd5a3795
commit 1b0c1de7b3
1 changed files with 186 additions and 118 deletions
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Minkowski_sum_2/include/CGAL/minkowski_sum_2.h
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@ -30,7 +30,7 @@
namespace CGAL { namespace CGAL {
/*! /*!
* Computes the Minkowski sum \f$ P \oplus Q\f$ of the two given polygons. * Computes the Minkowski sum \f$ P \oplus Q\f$ of two given polygons.
* The function computes the reduced convolution of the two polygons and * The function computes the reduced convolution of the two polygons and
* extracts those loops of the convolution which are part of the Minkowsi * extracts those loops of the convolution which are part of the Minkowsi
* sum. This method works very efficiently, regardless of whether `P` and * sum. This method works very efficiently, regardless of whether `P` and
@ -38,10 +38,11 @@ namespace CGAL {
* Note that as the input polygons may not be convex, their Minkowski * Note that as the input polygons may not be convex, their Minkowski
* sum may not be a simple polygon. The result is therefore represented * sum may not be a simple polygon. The result is therefore represented
* as a polygon with holes. * as a polygon with holes.
* \param[in] pgn1 The first polygon.
* \param[in] pgn2 The second polygon.
* \pre Both `P` and `Q` are simple, counterclockwise-oriented polygons. * \pre Both `P` and `Q` are simple, counterclockwise-oriented polygons.
*/ */
template <typename Kernel_, typename Container_>
template <class Kernel_, class Container_>
Polygon_with_holes_2<Kernel_, Container_> Polygon_with_holes_2<Kernel_, Container_>
minkowski_sum_reduced_convolution_2(const Polygon_2<Kernel_, Container_>& pgn1, minkowski_sum_reduced_convolution_2(const Polygon_2<Kernel_, Container_>& pgn1,
const Polygon_2<Kernel_, Container_>& pgn2) const Polygon_2<Kernel_, Container_>& pgn2)
@ -50,64 +51,107 @@ minkowski_sum_reduced_convolution_2(const Polygon_2<Kernel_, Container_>& pgn1,
typedef Container_ Container; typedef Container_ Container;
Minkowski_sum_by_reduced_convolution_2<Kernel, Container> mink_sum; Minkowski_sum_by_reduced_convolution_2<Kernel, Container> mink_sum;
Polygon_2<Kernel,Container> sum_bound; Polygon_2<Kernel, Container> sum_bound;
std::list<Polygon_2<Kernel,Container> > sum_holes; std::list<Polygon_2<Kernel, Container> > sum_holes;
if (pgn1.size() > pgn2.size()) if (pgn1.size() > pgn2.size())
mink_sum (pgn1, pgn2, sum_bound, std::back_inserter(sum_holes)); mink_sum(pgn1, pgn2, sum_bound, std::back_inserter(sum_holes));
else else mink_sum(pgn2, pgn1, sum_bound, std::back_inserter(sum_holes));
mink_sum (pgn2, pgn1, sum_bound, std::back_inserter(sum_holes));
return (Polygon_with_holes_2<Kernel,Container> (sum_bound, return (Polygon_with_holes_2<Kernel,Container>(sum_bound,
sum_holes.begin(), sum_holes.begin(),
sum_holes.end())); sum_holes.end()));
} }
/*! /*!
* Computes the Minkowski sum \f$ P \oplus Q\f$ of the two given * Computes the Minkowski sum \f$ P \oplus Q\f$ of two given polygons with
* polygons-with-holes. * holes.
* The function computes the reduced convolution of the two polygons and * The function computes the reduced convolution of the two polygons and
* extracts those loops of the convolution which are part of the Minkowsi * extracts those loops of the convolution which are part of the Minkowsi
* sum. This method works very efficiently, regardless of whether `P` and * sum. This method works very efficiently, regardless of whether `P` and
* `Q` are convex or non-convex. * `Q` are convex or non-convex.
* The result is also represented as a polygon with holes. * The result is also represented as a polygon with holes.
*/ * \param[in] pgn1 The first polygon.
template <class Kernel_, class Container_> * \param[in] pgn2 The second polygon.
*/
template <typename Kernel_, typename Container_>
Polygon_with_holes_2<Kernel_, Container_> Polygon_with_holes_2<Kernel_, Container_>
minkowski_sum_reduced_convolution_2(const Polygon_with_holes_2<Kernel_, Container_>& pgn1, minkowski_sum_reduced_convolution_2
const Polygon_with_holes_2<Kernel_, Container_>& pgn2) (const Polygon_with_holes_2<Kernel_, Container_>& pgn1,
const Polygon_with_holes_2<Kernel_, Container_>& pgn2)
{ {
typedef Kernel_ Kernel; typedef Kernel_ Kernel;
typedef Container_ Container; typedef Container_ Container;
Hole_filter_2<Kernel, Container> hole_filter; Hole_filter_2<Kernel, Container> hole_filter;
Polygon_with_holes_2<Kernel,Container> filtered_pgn1; Polygon_with_holes_2<Kernel, Container> filtered_pgn1;
Polygon_with_holes_2<Kernel,Container> filtered_pgn2; Polygon_with_holes_2<Kernel, Container> filtered_pgn2;
hole_filter(pgn1, pgn2, filtered_pgn1); hole_filter(pgn1, pgn2, filtered_pgn1);
hole_filter(pgn2, pgn1, filtered_pgn2); hole_filter(pgn2, pgn1, filtered_pgn2);
Minkowski_sum_by_reduced_convolution_2<Kernel, Container> mink_sum; Minkowski_sum_by_reduced_convolution_2<Kernel, Container> mink_sum;
Polygon_2<Kernel,Container> sum_bound; Polygon_2<Kernel, Container> sum_bound;
std::list<Polygon_2<Kernel,Container> > sum_holes; std::list<Polygon_2<Kernel, Container> > sum_holes;
mink_sum (filtered_pgn1, filtered_pgn2, sum_bound, std::back_inserter(sum_holes)); mink_sum(filtered_pgn1, filtered_pgn2, sum_bound,
std::back_inserter(sum_holes));
return (Polygon_with_holes_2<Kernel,Container> (sum_bound, return (Polygon_with_holes_2<Kernel,Container>(sum_bound,
sum_holes.begin(), sum_holes.begin(),
sum_holes.end())); sum_holes.end()));
} }
/*!
* Computes the Minkowski sum \f$ P \oplus Q\f$ of a simple polygon and a
* polygon with holes.
* 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.
* The result is also represented as a polygon with holes.
* \param[in] pgn1 The simple polygon.
* \param[in] pgn2 The polygon with holes.
*/
template <typename Kernel_, typename Container_> template <typename Kernel_, typename Container_>
Polygon_with_holes_2<Kernel_, Container_> Polygon_with_holes_2<Kernel_, Container_>
minkowski_sum_reduced_convolution_2(const Polygon_2<Kernel_, Container_>& pgn1, minkowski_sum_reduced_convolution_2
const Polygon_with_holes_2<Kernel_, Container_>& pgn2) (const Polygon_2<Kernel_, Container_>& pgn1,
const Polygon_with_holes_2<Kernel_, Container_>& pgn2)
{ {
Polygon_with_holes_2<Kernel_, Container_> pgnwh1(pgn1); typedef Kernel_ Kernel;
return minkowski_sum_reduced_convolution_2(pgnwh1, pgn2); typedef Container_ Container;
Hole_filter_2<Kernel, Container> hole_filter;
Polygon_with_holes_2<Kernel, Container> filtered_pgn2;
hole_filter(pgn2, pgn1, filtered_pgn2);
Minkowski_sum_by_reduced_convolution_2<Kernel, Container> mink_sum;
Polygon_2<Kernel, Container> sum_bound;
std::list<Polygon_2<Kernel, Container> > sum_holes;
mink_sum(pgn1, filtered_pgn2, sum_bound, std::back_inserter(sum_holes));
return (Polygon_with_holes_2<Kernel,Container>(sum_bound,
sum_holes.begin(),
sum_holes.end()));
} }
/*!
* Computes the Minkowski sum \f$ P \oplus Q\f$ of a simple polygon and a
* polygon with holes.
* 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.
* The result is also represented as a polygon with holes.
* \param[in] pgn1 The polygon with holes.
* \param[in] pgn2 The simple polygon.
*/
template <typename Kernel_, typename Container_>
Polygon_with_holes_2<Kernel_, Container_>
minkowski_sum_reduced_convolution_2
(const Polygon_with_holes_2<Kernel_, Container_>& pgn1,
const Polygon_2<Kernel_, Container_>& pgn2)
{ return minkowski_sum_reduced_convolution_2(pgn2, pgn1); }
/*! /*!
* Compute the Minkowski sum of two simple polygons using the (full) * Compute the Minkowski sum of two simple polygons using the (full)
@ -115,11 +159,11 @@ minkowski_sum_reduced_convolution_2(const Polygon_2<Kernel_, Container_>& pgn1,
* Note that as the input polygons may not be convex, their Minkowski sum may * 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 * not be a simple polygon. The result is therefore represented as a polygon
* with holes. * with holes.
* \param pgn1 (in) The first polygon. * \param[in] pgn1 The first polygon.
* \param pgn2 (in) The second polygon. * \param[in] pgn2 The second polygon.
* \return The resulting polygon with holes, representing the sum. * \return The resulting polygon with holes, representing the sum.
*/ */
template <class Kernel_, class Container_> template <typename Kernel_, typename Container_>
Polygon_with_holes_2<Kernel_, Container_> Polygon_with_holes_2<Kernel_, Container_>
minkowski_sum_full_convolution_2(const Polygon_2<Kernel_, Container_>& pgn1, minkowski_sum_full_convolution_2(const Polygon_2<Kernel_, Container_>& pgn1,
const Polygon_2<Kernel_, Container_>& pgn2) const Polygon_2<Kernel_, Container_>& pgn2)
@ -133,8 +177,7 @@ minkowski_sum_full_convolution_2(const Polygon_2<Kernel_, Container_>& pgn1,
if (pgn1.size() > pgn2.size()) if (pgn1.size() > pgn2.size())
mink_sum(pgn1, pgn2, sum_bound, std::back_inserter(sum_holes)); mink_sum(pgn1, pgn2, sum_bound, std::back_inserter(sum_holes));
else else mink_sum(pgn2, pgn1, sum_bound, std::back_inserter(sum_holes));
mink_sum(pgn2, pgn1, sum_bound, std::back_inserter(sum_holes));
return (Polygon_with_holes_2<Kernel, Container>(sum_bound, return (Polygon_with_holes_2<Kernel, Container>(sum_bound,
sum_holes.begin(), sum_holes.begin(),
sum_holes.end())); sum_holes.end()));
@ -147,8 +190,8 @@ minkowski_sum_full_convolution_2(const Polygon_2<Kernel_, Container_>& pgn1,
* Note that as the input polygons may not be convex, their Minkowski sum may * 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 * not be a simple polygon. The result is therefore represented as a polygon
* with holes. * with holes.
* \param pgn1 (in) The first polygon. * \param[in] pgn1 The first polygon.
* \param pgn2 (in) The second polygon. * \param[in] pgn2 The second polygon.
* \return The resulting polygon with holes, representing the sum. * \return The resulting polygon with holes, representing the sum.
* *
* \sa `CGAL::minkowski_sum_reduced_convolution_2()` * \sa `CGAL::minkowski_sum_reduced_convolution_2()`
@ -158,9 +201,7 @@ template <typename Kernel_, typename Container_>
Polygon_with_holes_2<Kernel_, Container_> Polygon_with_holes_2<Kernel_, Container_>
minkowski_sum_2(const Polygon_2<Kernel_, Container_>& pgn1, minkowski_sum_2(const Polygon_2<Kernel_, Container_>& pgn1,
const Polygon_2<Kernel_, Container_>& pgn2) const Polygon_2<Kernel_, Container_>& pgn2)
{ { return minkowski_sum_reduced_convolution_2(pgn1, pgn2); }
return minkowski_sum_reduced_convolution_2(pgn1, pgn2);
}
/*! /*!
* Compute the Minkowski sum of two polygons with holes using the convolution * Compute the Minkowski sum of two polygons with holes using the convolution
@ -168,8 +209,8 @@ minkowski_sum_2(const Polygon_2<Kernel_, Container_>& pgn1,
* as it is more efficient in most cases. * as it is more efficient in most cases.
* Note that the result may not be a simple polygon. The result is therefore * Note that the result may not be a simple polygon. The result is therefore
* represented as a polygon with holes. * represented as a polygon with holes.
* \param pgn1 (in) The first polygon with holes. * \param[in] pgn1 The first polygon with holes.
* \param pgn2 (in) The second polygon with holes. * \param[in] pgn2 The second polygon with holes.
* \return The resulting polygon with holes, representing the sum. * \return The resulting polygon with holes, representing the sum.
* *
* \sa `CGAL::minkowski_sum_reduced_convolution_2()` * \sa `CGAL::minkowski_sum_reduced_convolution_2()`
@ -179,18 +220,16 @@ template <typename Kernel_, typename Container_>
Polygon_with_holes_2<Kernel_, Container_> Polygon_with_holes_2<Kernel_, Container_>
minkowski_sum_2(const Polygon_with_holes_2<Kernel_, Container_>& pgn1, minkowski_sum_2(const Polygon_with_holes_2<Kernel_, Container_>& pgn1,
const Polygon_with_holes_2<Kernel_, Container_>& pgn2) const Polygon_with_holes_2<Kernel_, Container_>& pgn2)
{ { return minkowski_sum_reduced_convolution_2(pgn1, pgn2); }
return minkowski_sum_reduced_convolution_2(pgn1, pgn2);
}
/*! /*!
* Compute the Minkowski sum of a simple polygons and a polygon-with-holes * Compute the Minkowski sum of a simple polygon and a polygon with holes
* using the convolution method. This function defaults to calling the reduced * using the convolution method. This function defaults to calling the reduced
* convolution method, as it is more efficient in most cases. * convolution method, as it is more efficient in most cases.
* Note that the result may not be a simple polygon. The result is therefore * Note that the result may not be a simple polygon. The result is therefore
* represented as a polygon with holes. * represented as a polygon with holes.
* \param pgn1 (in) The polygon. * \param[in] pgn1 The simple polygon.
* \param pgn2 (in) The polygon with holes. * \param[in] pgn2 The polygon with holes.
* \return The resulting polygon with holes, representing the sum. * \return The resulting polygon with holes, representing the sum.
* *
* \sa `CGAL::minkowski_sum_reduced_convolution_2()` * \sa `CGAL::minkowski_sum_reduced_convolution_2()`
@ -200,10 +239,26 @@ template <typename Kernel_, typename Container_>
Polygon_with_holes_2<Kernel_, Container_> Polygon_with_holes_2<Kernel_, Container_>
minkowski_sum_2(const Polygon_2<Kernel_, Container_>& pgn1, minkowski_sum_2(const Polygon_2<Kernel_, Container_>& pgn1,
const Polygon_with_holes_2<Kernel_, Container_>& pgn2) const Polygon_with_holes_2<Kernel_, Container_>& pgn2)
{ { return minkowski_sum_reduced_convolution_2(pgn1, pgn2); }
Polygon_with_holes_2<Kernel_, Container_> pgnwh1(pgn1);
return minkowski_sum_reduced_convolution_2(pgnwh1, pgn2); /*!
} * Compute the Minkowski sum of a simple polygon and a polygon with holes
* using the convolution method. This function defaults to calling the reduced
* convolution method, as it is more efficient in most cases.
* Note that the result may not be a simple polygon. The result is therefore
* represented as a polygon with holes.
* \param[in] pgn1 The polygon with holes.
* \param[in] pgn2 The simple polygon.
* \return The resulting polygon with holes, representing the sum.
*
* \sa `CGAL::minkowski_sum_reduced_convolution_2()`
* \sa `CGAL::minkowski_sum_full_convolution_2()`
*/
template <typename Kernel_, typename Container_>
Polygon_with_holes_2<Kernel_, Container_>
minkowski_sum_2(const Polygon_with_holes_2<Kernel_, Container_>& pgn1,
const Polygon_2<Kernel_, Container_>& pgn2)
{ return minkowski_sum_reduced_convolution_2(pgn1, pgn2); }
/*! /*!
* Compute the Minkowski sum of two simple polygons by decomposing each * Compute the Minkowski sum of two simple polygons by decomposing each
@ -212,9 +267,9 @@ minkowski_sum_2(const Polygon_2<Kernel_, Container_>& pgn1,
* Note that as the input polygons may not be convex, their Minkowski sum may * 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 * not be a simple polygon. The result is therefore represented as a polygon
* with holes. * with holes.
* \param pgn1 (in) The first polygon. * \param[in] pgn1 The first polygon.
* \param pgn2 (in) The second polygon. * \param[in] pgn2 The second polygon.
* \param decomposition_strategy (in) A functor for decomposing polygons. * \param[in] decomposition_strategy A functor for decomposing polygons.
* \return The resulting polygon with holes, representing the sum. * \return The resulting polygon with holes, representing the sum.
*/ */
template <typename Kernel_, typename Container_, template <typename Kernel_, typename Container_,
@ -236,10 +291,10 @@ minkowski_sum_2(const Polygon_2<Kernel_, Container_>& pgn1,
* Note that as the input polygons may not be convex, their Minkowski sum may * 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 * not be a simple polygon. The result is therefore represented as a polygon
* with holes. * with holes.
* \param pgn1 (in) The first polygon. * \param[in] pgn1 The first polygon.
* \param pgn2 (in) The second polygon. * \param[in] pgn2 The second polygon.
* \param decomposition_strategy (in) A functor for decomposing polygons. * \param[in] decomposition_strategy A functor for decomposing polygons.
* \param traits (in) traits The traits. * \param[in] traits The traits.
* \return The resulting polygon with holes, representing the sum. * \return The resulting polygon with holes, representing the sum.
*/ */
template <typename Kernel_, typename Container_, template <typename Kernel_, typename Container_,
@ -258,18 +313,17 @@ minkowski_sum_2(const Polygon_2<Kernel_, Container_>& pgn1,
Minkowski_sum_by_decomposition_2<Decomposition_strategy, Container> Minkowski_sum_by_decomposition_2<Decomposition_strategy, Container>
mink_sum(decomposition_strategy, traits); mink_sum(decomposition_strategy, traits);
Polygon_with_holes_2<Kernel, Container> sum = mink_sum(pgn1, pgn2); return mink_sum(pgn1, pgn2);
return (sum);
} }
/*! /*!
* Compute the Minkowski sum of two polygon-with-holes by decomposing each * Compute the Minkowski sum of two polygon with holes by decomposing each
* polygon to convex sub-polygons and computing the union of the pairwise * polygon to convex sub-polygons and computing the union of the pairwise
* Minkowski sums of the sub-polygons. * Minkowski sums of the sub-polygons.
* The result is also represented as a polygon with holes. * The result is also represented as a polygon with holes.
* \param pgn1 (in) The first polygon. * \param[in] pgn1 The first polygon.
* \param pgn2 (in) The second polygon. * \param[in] pgn2 The second polygon.
* \param decomposition_strategy (in) A functor for decomposing polygons. * \param[in] decomposition_strategy A functor for decomposing polygons.
* \return The resulting polygon with holes, representing the sum. * \return The resulting polygon with holes, representing the sum.
*/ */
template <typename Kernel_, typename Container_, template <typename Kernel_, typename Container_,
@ -281,27 +335,18 @@ minkowski_sum_2(const Polygon_with_holes_2<Kernel_, Container_>& pgn1,
{ {
typename Minkowski_sum_by_decomposition_2<DecompositionStrategy_, typename Minkowski_sum_by_decomposition_2<DecompositionStrategy_,
Container_>::Traits_2 traits; Container_>::Traits_2 traits;
return minkowski_sum_2(pgn1, pgn2, decomposition_strategy, traits);
Hole_filter_2<Kernel_, Container_> hole_filter;
Polygon_with_holes_2<Kernel_,Container_> filtered_pgn1;
Polygon_with_holes_2<Kernel_,Container_> filtered_pgn2;
hole_filter(pgn1, pgn2, filtered_pgn1);
hole_filter(pgn2, pgn1, filtered_pgn2);
return minkowski_sum_2(filtered_pgn1, filtered_pgn2, decomposition_strategy, traits);
} }
/*! /*!
* Compute the Minkowski sum of two polygon-with-holes by decomposing each * Compute the Minkowski sum of two polygon with holes by decomposing each
* polygon to convex sub-polygons and computing the union of the pairwise * polygon to convex sub-polygons and computing the union of the pairwise
* Minkowski sums of the sub-polygons. * Minkowski sums of the sub-polygons.
* The result is also represented as a polygon with holes. * The result is also represented as a polygon with holes.
* \param pgn1 (in) The first polygon. * \param[in] pgn1 The first polygon.
* \param pgn2 (in) The second polygon. * \param[in] pgn2 The second polygon.
* \param decomposition_strategy (in) A functor for decomposing polygons. * \param[in] decomposition_strategy A functor for decomposing polygons.
* \param traits (in) The traits. * \param[in] traits The traits.
* \return The resulting polygon with holes, representing the sum. * \return The resulting polygon with holes, representing the sum.
*/ */
template <typename Kernel_, typename Container_, template <typename Kernel_, typename Container_,
@ -320,27 +365,22 @@ minkowski_sum_2(const Polygon_with_holes_2<Kernel_, Container_>& pgn1,
Minkowski_sum_by_decomposition_2<Decomposition_strategy, Container> Minkowski_sum_by_decomposition_2<Decomposition_strategy, Container>
mink_sum(decomposition_strategy, traits); mink_sum(decomposition_strategy, traits);
Hole_filter_2<Kernel, Container> hole_filter;
Hole_filter_2<Kernel_, Container_> hole_filter; Polygon_with_holes_2<Kernel,Container> filtered_pgn1;
Polygon_with_holes_2<Kernel,Container> filtered_pgn2;
Polygon_with_holes_2<Kernel_,Container_> filtered_pgn1;
Polygon_with_holes_2<Kernel_,Container_> filtered_pgn2;
hole_filter(pgn1, pgn2, filtered_pgn1); hole_filter(pgn1, pgn2, filtered_pgn1);
hole_filter(pgn2, pgn1, filtered_pgn2); hole_filter(pgn2, pgn1, filtered_pgn2);
return mink_sum(filtered_pgn1, filtered_pgn2);
Polygon_with_holes_2<Kernel, Container> sum = mink_sum(filtered_pgn1, filtered_pgn2);
return sum;
} }
/*! /*!
* Compute the Minkowski sum of one simple polygon and one polygon-with-holes * Compute the Minkowski sum of a simple polygon and a polygon with holes
* by decomposing each polygon to convex sub-polygons and computing the union * by decomposing each polygon to convex sub-polygons and computing the union
* of the pairwise Minkowski sums of the sub-polygons. The result is also * of the pairwise Minkowski sums of the sub-polygons. The result is also
* represented as a polygon with holes. * represented as a polygon with holes.
* \param pgn1 (in) The first polygon. * \param[in] pgn1 The first polygon.
* \param pgn2 (in)The second polygon. * \param[in] pgn2 The second polygon.
* \param decomposition_strategy (in) A functor for decomposing polygons. * \param[in] decomposition_strategy A functor for decomposing polygons.
* \return The resulting polygon with holes, representing the sum. * \return The resulting polygon with holes, representing the sum.
*/ */
template <typename Kernel_, typename Container_, template <typename Kernel_, typename Container_,
@ -352,27 +392,18 @@ minkowski_sum_2(const Polygon_2<Kernel_, Container_>& pgn1,
{ {
typename Minkowski_sum_by_decomposition_2<DecompositionStrategy_, typename Minkowski_sum_by_decomposition_2<DecompositionStrategy_,
Container_>::Traits_2 traits; Container_>::Traits_2 traits;
return minkowski_sum_2(pgn1, pgn2, decomposition_strategy, traits);
Hole_filter_2<Kernel_, Container_> hole_filter;
Polygon_with_holes_2<Kernel_,Container_> filtered_pgn1;
Polygon_with_holes_2<Kernel_,Container_> filtered_pgn2;
hole_filter(pgn1, pgn2, filtered_pgn1);
hole_filter(pgn2, pgn1, filtered_pgn2);
return minkowski_sum_2(filtered_pgn1, filtered_pgn2, decomposition_strategy, traits);
} }
/*! /*!
* Compute the Minkowski sum of one simple polygon and one polygon-with-holes * Compute the Minkowski sum of a simple polygon and a polygon with holes
* by decomposing each polygon to convex sub-polygons and computing the union * by decomposing each polygon to convex sub-polygons and computing the union
* of the pairwise Minkowski sums of the sub-polygons. The result is also * of the pairwise Minkowski sums of the sub-polygons. The result is also
* represented as a polygon with holes. * represented as a polygon with holes.
* \param pgn1 (in) The first polygon. * \param[in] pgn1 The simple polygon.
* \param pgn2 (in)The second polygon. * \param[in] pgn2 The polygon with holes.
* \param decomposition_strategy (in) A functor for decomposing polygons. * \param[in] decomposition_strategy A functor for decomposing polygons.
* \param traits (in) The traits. * \param[in] traits The traits.
* \return The resulting polygon with holes, representing the sum. * \return The resulting polygon with holes, representing the sum.
*/ */
template <typename Kernel_, typename Container_, template <typename Kernel_, typename Container_,
@ -391,19 +422,56 @@ minkowski_sum_2(const Polygon_2<Kernel_, Container_>& pgn1,
Minkowski_sum_by_decomposition_2<Decomposition_strategy, Container> Minkowski_sum_by_decomposition_2<Decomposition_strategy, Container>
mink_sum(decomposition_strategy, traits); mink_sum(decomposition_strategy, traits);
Hole_filter_2<Kernel, Container> hole_filter;
Hole_filter_2<Kernel_, Container_> hole_filter; Polygon_with_holes_2<Kernel,Container> filtered_pgn2;
Polygon_with_holes_2<Kernel_,Container_> filtered_pgn1;
Polygon_with_holes_2<Kernel_,Container_> filtered_pgn2;
hole_filter(pgn1, pgn2, filtered_pgn1);
hole_filter(pgn2, pgn1, filtered_pgn2); hole_filter(pgn2, pgn1, filtered_pgn2);
return mink_sum(pgn1, filtered_pgn2);
Polygon_with_holes_2<Kernel, Container> sum = mink_sum(filtered_pgn1, filtered_pgn2);
return sum;
} }
/*!
* Compute the Minkowski sum of a simple polygon and a polygon with holes
* by decomposing each polygon to convex sub-polygons and computing the union
* of the pairwise Minkowski sums of the sub-polygons. The result is also
* represented as a polygon with holes.
* \param[in] pgn1 The second polygon.
* \param[in] pgn2 The first polygon.
* \param[in] decomposition_strategy A functor for decomposing polygons.
* \return The resulting polygon with holes, representing the sum.
*/
template <typename Kernel_, typename Container_,
typename DecompositionStrategy_>
Polygon_with_holes_2<Kernel_, Container_>
minkowski_sum_2(const Polygon_with_holes_2<Kernel_, Container_>& pgn1,
const Polygon_2<Kernel_, Container_>& pgn2,
const DecompositionStrategy_& decomposition_strategy)
{
typename Minkowski_sum_by_decomposition_2<DecompositionStrategy_,
Container_>::Traits_2 traits;
return minkowski_sum_2(pgn1, pgn2, decomposition_strategy, traits);
}
/*!
* Compute the Minkowski sum of a simple polygon and a polygon with holes
* by decomposing each polygon to convex sub-polygons and computing the union
* of the pairwise Minkowski sums of the sub-polygons. The result is also
* represented as a polygon with holes.
* \param[in] pgn1 The polygon with holes.
* \param[in] pgn2 The simple polygon.
* \param[in] decomposition_strategy A functor for decomposing polygons.
* \param[in] traits The traits.
* \return The resulting polygon with holes, representing the sum.
*/
template <typename Kernel_, typename Container_,
typename DecompositionStrategy_>
Polygon_with_holes_2<Kernel_, Container_>
minkowski_sum_2(const Polygon_with_holes_2<Kernel_, Container_>& pgn1,
const Polygon_2<Kernel_, Container_>& pgn2,
const DecompositionStrategy_& decomposition_strategy,
const typename
Minkowski_sum_by_decomposition_2<DecompositionStrategy_,
Container_>::Traits_2& traits)
{ return minkowski_sum_2(pgn2, pgn1, decomposition_strategy, traits); }
} //namespace CGAL } //namespace CGAL
#endif #endif