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Function

CGAL::create_interior_skeleton_and_offset_polygons_2

Definition

The function create_interior_skeleton_and_offset_polygons_2 creates inner offset polygons directly from an input polygon via a temporarily created straight skeleton.

#include <CGAL/create_offset_polygons_2.h>

template<class FT, class Polygon, class HoleIterator, class OffsettingK, class SkeletonK>
std::vector< boost::shared_ptr<Polygon> >
create_interior_skeleton_and_offset_polygons_2 ( FT offset,
Polygon const& outer_boundary,
HoleIterator holes_begin,
HoleIterator holes_end,
OffsettingK ofk = CGAL::Exact_predicates_inexact_constructions_kernel,
SkeletonK ssk = CGAL::Exact_predicates_inexact_constructions_kernel)
returns a container with all the inner offset polygons at distance offset of the 2D polygon with holes whose outer boundary is outer_boundary and its holes are given by [holes_begin,holes_end]. A temporary straight skeleton is constructed in the interior of the input polygon to obtain the offsets. The construction of this skeleton is the most expensive operation, therefore, to construct offsets at more than one single distance, use the separate functions create_interior_straight_skeleton_2 and create_offset_polygons_2 instead.

template<class FT, class Polygon, class OffsettingK, class SkeletonK>
std::vector< boost::shared_ptr<Polygon> >
create_interior_skeleton_and_offset_polygons_2 ( FT offset,
Polygon const& poly,
OffsettingK ofk = CGAL::Exact_predicates_inexact_constructions_kernel,
SkeletonK ssk = CGAL::Exact_predicates_inexact_constructions_kernel)
returns a container with all the inner offset polygons at distance offset of the 2D polygon poly. A temporary straight skeleton is constructed in the interior of the input polygon to obtain the offsets. The construction of this skeleton is the most expensive operation, therefore, to construct offsets at more than one single distance, use the separate functions create_interior_straight_skeleton_2 and create_offset_polygons_2 instead.

#include <CGAL/create_offset_polygons_from_polygon_with_holes_2.h>

template<class FT, class OffsettingK, class SkeletonK>
std::vector< boost::shared_ptr< Polygon_2<OffsettingK> > >
create_interior_skeleton_and_offset_polygons_2 ( FT offset,
CGAL::Polygon_with_holes<OffsettingK> poly_with_holes,
OffsettingK ofk = CGAL::Exact_predicates_inexact_constructions_kernel,
SkeletonK ssk = CGAL::Exact_predicates_inexact_constructions_kernel)
returns a container with all the inner offset polygons at distance offset of the 2D polygon with holes polywithholes. A temporary straight skeleton is constructed in the interior of the input polygon to obtain the offsets. The construction of this skeleton is the most expensive operation, therefore, to construct offsets at more than one single distance, use the separate functions create_interior_straight_skeleton_2 and create_offset_polygons_2 instead.

template<class FT, class OffsettingK, class SkeletonK>
std::vector< boost::shared_ptr< Polygon_with_holes_2<OffsettingK> > >
create_interior_skeleton_and_offset_polygons_with_holes_2 ( FT offset,
CGAL::Polygon_2<OffsettingK> poly,
OffsettingK ofk = CGAL::Exact_predicates_inexact_constructions_kernel,
SkeletonK ssk = CGAL::Exact_predicates_inexact_constructions_kernel)
returns a container with all the inner offset polygons with holes at distance offset of the 2D polygon poly. This is equivalent to arrange_offset_polygons_2(create_interior_skeleton_and_offset_polygons_2(offset,poly,okk,ssk)).

template<class FT, class OffsettingK, class SkeletonK>
std::vector< boost::shared_ptr< Polygon_with_holes_2<OffsettingK> > >
create_interior_skeleton_and_offset_polygons_with_holes_2 ( FT offset,
CGAL::Polygon_with_holes_2<OffsettingK> poly_with_holes,
OffsettingK ofk = CGAL::Exact_predicates_inexact_constructions_kernel,
SkeletonK ssk = CGAL::Exact_predicates_inexact_constructions_kernel)
returns a container with all the inner offset polygons with holes at distance offset of the 2D polygon with holes polywithholes. This is equivalent to arrange_offset_polygons_2(create_interior_skeleton_and_offset_polygons_2(offset,poly_with_holes,okk,ssk)).

  1. OffsettingK is the Cgal kernel used to instantiate Polygon_offset_builder_traits_2<K> for constructing the offset polygons.
  2. SkeletonK is the Cgal kernel used to instantiate Straight_skeleton_builder_traits_2<K> for constructing the straight skeleton. If SkeletonK != OffsettingK the constructed straight skeleton is converted to Straight_skeleton_2<OffsettingK>.
  3. FT is any number type implicitly convertible to OffsettingK::FT.
  4. Straight_skeleton is Straight_skeleton_2<K2>. If K != K2 the straight skeleton is converted to Straight_skeleton_2<K>.
  5. HoleIterator::value_type and Polygon are CGAL::Polygon_2<OffsettingK> or a standard container of OffsettingK::Point_2 elements

See Also

create_exterior_straight_skeleton_2
Straight_skeleton_builder_2<Gt,Ss>

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CGAL Open Source Project. Release 4.1. 23 October 2012.