mirror of https://github.com/CGAL/cgal
191 lines
7.6 KiB
C++
191 lines
7.6 KiB
C++
#ifndef CGAL_APPROXIMATION_L21_TRAITS_H
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#define CGAL_APPROXIMATION_L21_TRAITS_H
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#include <CGAL/license/Surface_mesh_approximation.h>
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#include <CGAL/Kernel/global_functions.h>
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#include <CGAL/squared_distance_3.h>
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#include <boost/graph/graph_traits.hpp>
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#include <boost/unordered_map.hpp>
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namespace CGAL {
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/*!
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* \ingroup PkgTSMA
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* @brief Approximation traits for L21 metric.
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*
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* \cgalModels`Approximation_traits`
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*
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* @tparam TriangleMesh a triangle `FaceListGraph`
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* @tparam VertexPointMap a property map with `boost::graph_traits<TriangleMesh>::%vertex_descriptor`
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as key type, GeomTraits::Point_3 as value type
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* @tparam with_area_weighing set `true` to activate area weighing
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* @tparam GeomTraits geometric traits
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*/
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template <typename TriangleMesh,
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typename VertexPointMap
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= typename boost::property_map<TriangleMesh, boost::vertex_point_t>::type,
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bool with_area_weighing = true,
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typename GeomTraits
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= typename TriangleMesh::Traits>
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class Approximation_l21_traits {
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typedef typename GeomTraits::FT FT;
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typedef typename GeomTraits::Vector_3 Vector_3;
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typedef typename GeomTraits::Point_3 Point_3;
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typedef typename GeomTraits::Construct_scaled_vector_3 Construct_scaled_vector_3;
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typedef typename GeomTraits::Construct_sum_of_vectors_3 Construct_sum_of_vectors_3;
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typedef typename GeomTraits::Compute_scalar_product_3 Compute_scalar_product_3;
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typedef typename boost::graph_traits<TriangleMesh>::face_descriptor face_descriptor;
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typedef typename boost::graph_traits<TriangleMesh>::halfedge_descriptor halfedge_descriptor;
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typedef CGAL::internal::face_property_t<Vector_3> Face_normal_tag;
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typedef CGAL::internal::face_property_t<FT> Face_area_tag;
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typedef typename CGAL::internal::dynamic_property_map<TriangleMesh, Face_normal_tag >::type Face_normal_map;
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typedef typename CGAL::internal::dynamic_property_map<TriangleMesh, Face_area_tag >::type Face_area_map;
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public:
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// type required by the `Approximation_traits` concept
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typedef typename GeomTraits::Vector_3 Proxy;
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// constructor
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Approximation_l21_traits(const TriangleMesh &tm, const VertexPoint_map &vpmap) {
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GeomTraits traits;
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m_scalar_product_functor = traits.compute_scalar_product_3_object();
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m_sum_functor = traits.construct_sum_of_vectors_3_object();
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m_scale_functor = traits.construct_scaled_vector_3_object();
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m_fnmap = CGAL::internal::add_property(
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Face_normal_tag("VSA-face_normal"), const_cast<TriangleMesh &>(tm));
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m_famap = CGAL::internal::add_property(
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Face_area_tag("VSA-face_area"), const_cast<TriangleMesh &>(tm));
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// construct internal facet normal & area map
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BOOST_FOREACH(face_descriptor f, faces(tm)) {
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const halfedge_descriptor he = halfedge(f, tm);
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const Point_3 &p0 = vpmap[source(he, tm)];
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const Point_3 &p1 = vpmap[target(he, tm)];
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const Point_3 &p2 = vpmap[target(next(he, tm), tm)];
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put(m_fnmap, f, CGAL::unit_normal(p0, p1, p2));
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put(m_famap, f, std::sqrt(CGAL::to_double(CGAL::squared_area(p0, p1, p2))));
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}
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}
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// member function required by the `Approximation_traits` concept
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// It is a function that takes a facet and a proxy, returns the L21 error between them.
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FT compute_error(const face_descriptor &f, const Proxy &px) const {
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Vector_3 v = m_sum_functor(get(m_fnmap, f), m_scale_functor(px.normal, FT(-1.0)));
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return get(m_famap, f) * m_scalar_product_functor(v, v);
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}
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// member function required by the `Approximation_traits` concept
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// It returns the proxy fitted from the facets from beg to end.
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template <typename FacetIterator>
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Proxy fit_proxy(const FacetIterator beg, const FacetIterator end) const {
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CGAL_assertion(beg != end);
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// fitting normal
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Vector_3 norm = CGAL::NULL_VECTOR;
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for (FacetIterator fitr = beg; fitr != end; ++fitr) {
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norm = m_sum_functor(norm,
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m_scale_functor(get(m_fnmap, *fitr), get(m_famap, *fitr)));
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}
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norm = m_scale_functor(norm,
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FT(1.0 / std::sqrt(CGAL::to_double(norm.squared_length()))));
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return norm;
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}
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private:
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Face_normal_map m_fnmap;
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Face_area_map m_famap;
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Construct_scaled_vector_3 m_scale_functor;
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Compute_scalar_product_3 m_scalar_product_functor;
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Construct_sum_of_vectors_3 m_sum_functor;
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};
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// specialization for vertex point map without area weighing
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template <typename TriangleMesh, typename GeomTraits>
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class Approximation_l21_traits<TriangleMesh,
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typename boost::property_map<TriangleMesh, boost::vertex_point_t>::type,
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false,
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GeomTraits> {
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typedef typename GeomTraits::FT FT;
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typedef typename GeomTraits::Vector_3 Vector_3;
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typedef typename GeomTraits::Point_3 Point_3;
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typedef typename GeomTraits::Construct_scaled_vector_3 Construct_scaled_vector_3;
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typedef typename GeomTraits::Construct_sum_of_vectors_3 Construct_sum_of_vectors_3;
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typedef typename GeomTraits::Compute_scalar_product_3 Compute_scalar_product_3;
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typedef typename boost::graph_traits<TriangleMesh>::face_descriptor face_descriptor;
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typedef typename boost::graph_traits<TriangleMesh>::halfedge_descriptor halfedge_descriptor;
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typedef typename boost::property_map<TriangleMesh, boost::vertex_point_t>::type Vertex_point_map;
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typedef CGAL::internal::face_property_t<Vector_3> Face_normal_tag;
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typedef CGAL::internal::face_property_t<FT> Face_area_tag;
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typedef typename CGAL::internal::dynamic_property_map<TriangleMesh, Face_normal_tag >::type Face_normal_map;
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typedef typename CGAL::internal::dynamic_property_map<TriangleMesh, Face_area_tag >::type Face_area_map;
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public:
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// type required by the `Approximation_traits` concept
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typedef typename GeomTraits::Vector_3 Proxy;
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// constructor
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Approximation_l21_traits(const TriangleMesh &tm) {
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GeomTraits traits;
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m_scalar_product_functor = traits.compute_scalar_product_3_object();
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m_sum_functor = traits.construct_sum_of_vectors_3_object();
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m_scale_functor = traits.construct_scaled_vector_3_object();
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Vertex_point_map vpmap = get(boost::vertex_point, const_cast<TriangleMesh &>(tm));
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m_fnmap = CGAL::internal::add_property(
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Face_normal_tag("VSA-face_normal"), const_cast<TriangleMesh &>(tm));
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// construct internal facet normal & area map
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BOOST_FOREACH(face_descriptor f, faces(tm)) {
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const halfedge_descriptor he = halfedge(f, tm);
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const Point_3 &p0 = vpmap[source(he, tm)];
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const Point_3 &p1 = vpmap[target(he, tm)];
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const Point_3 &p2 = vpmap[target(next(he, tm), tm)];
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put(m_fnmap, f, CGAL::unit_normal(p0, p1, p2));
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}
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}
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// member function required by the `Approximation_traits` concept
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// It is a function that takes a facet and a proxy, returns the L21 error between them.
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FT compute_error(const face_descriptor &f, const Proxy &px) const {
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Vector_3 v = m_sum_functor(get(m_fnmap, f), m_scale_functor(px.normal, FT(-1.0)));
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return m_scalar_product_functor(v, v);
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}
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// member function required by the `Approximation_traits` concept
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// It returns the proxy fitted from the facets from beg to end.
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template <typename FacetIterator>
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Proxy fit_proxy(const FacetIterator beg, const FacetIterator end) const {
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CGAL_assertion(beg != end);
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// fitting normal
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Vector_3 norm = CGAL::NULL_VECTOR;
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for (FacetIterator fitr = beg; fitr != end; ++fitr) {
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norm = m_sum_functor(norm,
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m_scale_functor(get(m_fnmap, *fitr), get(m_famap, *fitr)));
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}
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norm = m_scale_functor(norm,
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FT(1.0 / std::sqrt(CGAL::to_double(norm.squared_length()))));
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return norm;
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}
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private:
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Face_normal_map m_fnmap;
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Construct_scaled_vector_3 m_scale_functor;
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Compute_scalar_product_3 m_scalar_product_functor;
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Construct_sum_of_vectors_3 m_sum_functor;
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};
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} // namespace CGAL
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#endif // CGAL_APPROXIMATION_L21_TRAITS_H
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