174 lines
6.9 KiB
C
174 lines
6.9 KiB
C
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// Copyright (c) 2006 Tel-Aviv University (Israel).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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// You can redistribute it and/or modify it under the terms of the GNU
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// General Public License as published by the Free Software Foundation,
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// either version 3 of the License, or (at your option) any later version.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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// SPDX-License-Identifier: GPL-3.0+
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//
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// Author(s) : Ron Wein <wein_r@yahoo.com>
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#ifndef CGAL_APPROXIMATED_OFFSET_H
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#define CGAL_APPROXIMATED_OFFSET_H
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#include <CGAL/license/Minkowski_sum_2.h>
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#include <CGAL/Minkowski_sum_2/Approx_offset_base_2.h>
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#include <CGAL/Minkowski_sum_2/Offset_conv_2.h>
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#include <CGAL/Minkowski_sum_2/Offset_decomp_2.h>
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namespace CGAL {
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/*!
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* Approximate the offset of a given simple polygon by a given radius,
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* using the convolution method.
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* Note that as the input polygon may not be convex, its offset may not be
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* simply connected. The result is therefore represented as a polygon with
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* holes.
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* \param pgn The polygon.
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* \param r The offset radius.
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* \param eps The approximation-error bound.
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* \return The approximated offset polygon.
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*/
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template <class Kernel, class Container>
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typename Gps_circle_segment_traits_2<Kernel>::Polygon_with_holes_2
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approximated_offset_2 (const Polygon_2<Kernel, Container>& pgn,
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const typename Kernel::FT& r,
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const double& eps)
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{
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typedef Approx_offset_base_2<Kernel, Container> Base;
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typedef Offset_by_convolution_2<Base> Approx_offset_2;
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typedef typename Approx_offset_2::Offset_polygon_2 Offset_polygon_2;
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Base base (eps);
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Approx_offset_2 approx_offset (base);
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Offset_polygon_2 offset_bound;
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std::list<Offset_polygon_2> offset_holes;
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approx_offset (pgn, r,
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offset_bound, std::back_inserter(offset_holes));
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return (typename Gps_circle_segment_traits_2<Kernel>::Polygon_with_holes_2
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(offset_bound, offset_holes.begin(), offset_holes.end()));
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}
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/*!
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* Approximate the offset of a given polygon with holes by a given radius,
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* using the convolution method.
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* The result is represented as a polygon with holes whose edges are line
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* segments and circular arcs.
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* \param pwh The polygon with holes.
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* \param r The offset radius.
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* \param eps The approximation-error bound.
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* \pre The polygon is bounded (has a valid outer boundary).
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* \return The approximated offset polygon.
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*/
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template <class Kernel, class Container>
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typename Gps_circle_segment_traits_2<Kernel>::Polygon_with_holes_2
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approximated_offset_2 (const Polygon_with_holes_2<Kernel, Container>& pwh,
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const typename Kernel::FT& r,
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const double& eps)
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{
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typedef Approx_offset_base_2<Kernel, Container> Base;
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typedef Offset_by_convolution_2<Base> Approx_offset_2;
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typedef typename Approx_offset_2::Offset_polygon_2 Offset_polygon_2;
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Base base (eps);
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Approx_offset_2 approx_offset (base);
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Offset_polygon_2 offset_bound;
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std::list<Offset_polygon_2> offset_holes;
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approx_offset (pwh, r,
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offset_bound, std::back_inserter(offset_holes));
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return (typename Gps_circle_segment_traits_2<Kernel>::Polygon_with_holes_2
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(offset_bound, offset_holes.begin(), offset_holes.end()));
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}
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/*!
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* Approximate the offset of a given simple polygon by a given radius,
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* by decomposing it to convex sub-polygons and computing the union of their
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* offsets.
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* Note that as the input polygon may not be convex, its offset may not be
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* simply connected. The result is therefore represented as a polygon with
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* holes.
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* \param pgn The polygon.
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* \param r The offset radius.
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* \param eps The approximation-error bound.
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* \param decomp A functor for decomposing polygons.
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* \return The approximated offset polygon.
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*/
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template <class Kernel, class Container, class DecompositionStrategy>
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typename Gps_circle_segment_traits_2<Kernel>::Polygon_with_holes_2
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approximated_offset_2 (const Polygon_2<Kernel, Container>& pgn,
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const typename Kernel::FT& r,
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const double& eps,
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const DecompositionStrategy&)
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{
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typedef Approx_offset_base_2<Kernel, Container> Base;
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typedef Offset_by_decomposition_2<Base, DecompositionStrategy>
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Approx_offset_2;
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typedef typename Approx_offset_2::Offset_polygon_2 Offset_polygon_2;
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Base base (eps);
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Approx_offset_2 approx_offset (base);
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Offset_polygon_2 offset_bound;
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std::list<Offset_polygon_2> offset_holes;
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approx_offset (pgn, r,
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offset_bound, std::back_inserter(offset_holes));
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return (typename Gps_circle_segment_traits_2<Kernel>::Polygon_with_holes_2
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(offset_bound, offset_holes.begin(), offset_holes.end()));
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}
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/*!
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* Approximate the inset of a given simple polygon by a given radius, using
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* the convolution method.
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* Note that as the input polygon may not be convex, its inset may not be
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* simply connected. The result is therefore represented as a set of polygons.
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* \param pgn The polygon.
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* \param r The inset radius.
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* \param eps The approximation-error bound.
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* \param oi An output iterator for the inset polygons.
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* Its value-type must be
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* Gps_circle_segment_traits_2<Kernel>::Polygon_2.
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* \return A past-the-end iterator for the inset polygons.
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*/
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template <class Kernel, class Container, class OutputIterator>
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OutputIterator
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approximated_inset_2 (const Polygon_2<Kernel, Container>& pgn,
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const typename Kernel::FT& r,
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const double& eps,
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OutputIterator oi)
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{
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typedef Approx_offset_base_2<Kernel, Container> Base;
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typedef Offset_by_convolution_2<Base> Approx_offset_2;
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typedef typename Approx_offset_2::Offset_polygon_2 Offset_polygon_2;
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Base base (eps);
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Approx_offset_2 approx_offset (base);
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Offset_polygon_2 offset_bound;
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std::list<Offset_polygon_2> offset_holes;
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oi = approx_offset.inset (pgn, r,
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oi);
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return (oi);
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}
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} //namespace CGAL
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#endif
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