Functions

Functions
template<typename C3t3, typename NamedParameters = parameters::Default_named_parameters>
void	CGAL::boundary_aware_mesh_smoothing (C3t3 &c3t3, NamedParameters const &np=parameters::default_values())
	Smooth a tetrahedral mesh while preserving the boundary and curve features.

Function Documentation

boundary_aware_mesh_smoothing()

template<typename C3t3, typename NamedParameters = parameters::Default_named_parameters>

void CGAL::boundary_aware_mesh_smoothing	(	C3t3 &	c3t3,
		NamedParameters const &	np = parameters::default_values() )

#include <CGAL/Mesh_smoothing_3/boundary_aware_mesh_smoothing.h>

Smooth a tetrahedral mesh while preserving the boundary and curve features.

This function takes as input a Mesh_complex_3_in_triangulation_3 and will iteratively move its vertices to improve the quality of the tetrahedra while preserving (softly) the boundary and curve features. Vertices will stay close to their original entity (surface patch or curve). Corners are locked on their original position. The code is capable of recovering curvature discontinuities (sharp features) in a patch, and is capable of recovering inverted tetrahedra in the mesh. A valid input mesh is guaranteed to remain valid after and during the smoothing.

Template Parameters

C3t3	model of MeshComplex_3InTriangulation_3
NamedParameters	a sequence of Named Parameters

Parameters

c3t3

is the tetrahedral mesh to smooth.

np

is an optional sequence of Named Parameters among the ones listed below Optional Named Parameters number_of_iterations Maximum number of iterations for the outer loop of the smoothing/untangling algorithm. Algorithm will stop before if it reaches convergence. Type: unsigned int Default: 100 verbose If true, the function prints information about the smoothing process to the standard output. Type: bool Default: false vertex_is_constrained_map a property map containing the constrained-or-not status of each vertex of the triangulation in the c3t3. Type: a class model of ReadPropertyMap with C3t3::Vertex_handle as key type and bool as value type. It must be default constructible. Default: a default property map where no vertex is constrained Extra: A constrained vertex will not be moved by smoothing. edge_is_constrained_map a property map containing the constrained-or-not status of each edge of the triangulation in the c3t3. Type: a class model of ReadPropertyMap with std::pair<C3t3::Vertex_handle, C3t3::Vertex_handle> as key type and bool as value type. It must be default constructible. Default: a default property map where no edge is constrained Extra: Vertices of a constrained edge will not be moved by the smoothing. facet_is_constrained_map a property map containing the constrained-or-not status of each facet of the triangulation in the c3t3. Type: a class model of ReadPropertyMap with C3t3::Facet as key type and bool as value type. It must be default constructible. Default: a default property map where no facet is constrained Extra: Vertices of a constrained facet will not be moved by smoothing.

Examples

Mesh_smoothing_3/c3t3_smooth.cpp.