CGAL::Surface_mesh_approximation::L2_metric_plane_proxy< TriangleMesh, VertexPointMap, GeomTraits > Class Template Reference

#include <CGAL/Surface_mesh_approximation/L2_metric_plane_proxy.h>

Definition

template<typename TriangleMesh, typename VertexPointMap = typename boost::property_map<TriangleMesh, boost::vertex_point_t>::type, typename GeomTraits = typename Kernel_traits<typename boost::property_traits<VertexPointMap>::value_type>::Kernel>
class CGAL::Surface_mesh_approximation::L2_metric_plane_proxy< TriangleMesh, VertexPointMap, GeomTraits >

Approximation L2 metric of plane proxy.

Is Model Of:

ErrorMetricProxy

Template Parameters

TriangleMesh	a triangle FaceGraph
VertexPointMap	a class model of ReadablePropertyMap with boost::graph_traits<TriangleMesh>::vertex_descriptor as key type, GeomTraits::Point_3 as value type
GeomTraits	a model of Kernel

Public Member Functions
FT	compute_error (const face_descriptor f, const TriangleMesh &tm, const Proxy &px) const
	computes the L21 error from a face to a proxy, using integral (closed-form) computation.
template<typename FaceRange >
Proxy	fit_proxy (const FaceRange &faces, const TriangleMesh &tm) const
	fits a proxy from a range of faces, in the L2 sense, with an integral (closed-form) formulation.

Types
typedef GeomTraits::Plane_3	Proxy
	Proxy type.

Constructor
	L2_metric_plane_proxy (const TriangleMesh &tm, const VertexPointMap &vpmap)
	Constructor.

Constructor & Destructor Documentation

L2_metric_plane_proxy()

template<typename TriangleMesh , typename VertexPointMap = typename boost::property_map<TriangleMesh, boost::vertex_point_t>::type, typename GeomTraits = typename Kernel_traits<typename boost::property_traits<VertexPointMap>::value_type>::Kernel>

CGAL::Surface_mesh_approximation::L2_metric_plane_proxy< TriangleMesh, VertexPointMap, GeomTraits >::L2_metric_plane_proxy	(	const TriangleMesh &	tm,
		const VertexPointMap &	vpmap
	)

Constructor.

Parameters

tm	triangle mesh
vpmap	vertex point map

Member Function Documentation

compute_error()

template<typename TriangleMesh , typename VertexPointMap = typename boost::property_map<TriangleMesh, boost::vertex_point_t>::type, typename GeomTraits = typename Kernel_traits<typename boost::property_traits<VertexPointMap>::value_type>::Kernel>

FT CGAL::Surface_mesh_approximation::L2_metric_plane_proxy< TriangleMesh, VertexPointMap, GeomTraits >::compute_error	(	const face_descriptor	f,
		const TriangleMesh &	tm,
		const Proxy &	px
	)		const

computes the L21 error from a face to a proxy, using integral (closed-form) computation.

Parameters

tm	input triangle mesh
f	face_descriptor of a face
px	proxy

Returns

computed error

fit_proxy()

template<typename TriangleMesh , typename VertexPointMap = typename boost::property_map<TriangleMesh, boost::vertex_point_t>::type, typename GeomTraits = typename Kernel_traits<typename boost::property_traits<VertexPointMap>::value_type>::Kernel>

template<typename FaceRange >

Proxy CGAL::Surface_mesh_approximation::L2_metric_plane_proxy< TriangleMesh, VertexPointMap, GeomTraits >::fit_proxy	(	const FaceRange &	faces,
		const TriangleMesh &	tm
	)		const

fits a proxy from a range of faces, in the L2 sense, with an integral (closed-form) formulation.

The best-fit plane passes through the center of mass and is defined by the two principal components of the integral covariance matrix.

Template Parameters

FaceRange

range of face descriptors, model of Range.

Parameters

faces	the range of faces to be fitted
tm	input triangle mesh

Returns

fitted proxy