3D Skin Surface Meshing Reference

Nico Kruithof

This package allows to build a triangular mesh of a skin surface. Skin surfaces are used for modeling large molecules in biological computing. The surface is defined by a set of balls, representing the atoms of the molecule, and a shrink factor that determines the size of the smooth patches gluing the balls together. The construction of a triangular mesh of a smooth skin surface is often necessary for further analysis and for fast visualization. This package provides functions to construct a triangular mesh approximating the skin surface from a set of balls and a shrink factor. It also contains code to subdivide the mesh efficiently.

Introduced in: CGAL 3.3
Depends on: 3D Triangulations and 3D Polyhedral Surface
BibTeX: cgal:k-ssm3-24a
License: GPL

Classified Reference Pages

Concepts

• SkinSurface_3
• SkinSurfaceTraits_3

Classes

• CGAL::Skin_surface_3<SkinSurfaceTraits_3>
• CGAL::Union_of_balls_3<SkinSurfaceTraits_3>
• CGAL::Skin_surface_traits_3<K>

Functions

• CGAL::make_skin_surface_mesh_3<Polyhedron_3>()
• CGAL::mesh_skin_surface_3<SkinSurface_3, Polyhedron_3>()
• CGAL::subdivide_skin_surface_mesh_3<SkinSurface_3, Polyhedron_3>()

Modules
	Concepts

Classes
class	CGAL::Skin_surface_3< SkinSurfaceTraits_3 >
	The Skin_surface_3 is the main class in this package. More...
struct	CGAL::Skin_surface_polyhedral_items_3< SkinSurface3 >
	An items class for the Polyhedron_3 that stores information in faces instead of an auxiliary data structure. More...
class	CGAL::Skin_surface_traits_3< K >
	The class Skin_surface_traits_3 is designed as a default traits class for the class Skin_surface_3<SkinSurfaceTraits_3>. More...
class	CGAL::Union_of_balls_3< SkinSurfaceTraits_3 >
	The Union_of_balls_3 is used to represent a skin surface with shrink factor equal to one, which is the boundary of the union of the input balls. More...

Functions
template<class WP_iterator , class Polyhedron >
void	CGAL::make_skin_surface_mesh_3 (Polyhedron &p, WP_iterator begin, WP_iterator end, double shrink_factor=.5, int nSubdivisions=0, bool grow_balls=true)
	constructs a mesh of the skin surface defined by the weighted points and the shrink factor.
template<typename SkinSurface_3 , typename Polyhedron >
void	CGAL::mesh_skin_surface_3 (const SkinSurface_3 &skin_surface, Polyhedron &p)
	constructs a mesh of the skin_surface in p.
template<class SkinSurface_3 , class Polyhedron >
void	CGAL::subdivide_skin_surface_mesh_3 (const SkinSurface_3 &skin_surface, Polyhedron &p, int nSubdiv=1)
	subdivides a skin surface mesh constructed by the function mesh_skin_surface_3() using nSubdiv 1-4 split operations (each triangle is split into four sub-triangles) and the new vertices are moved towards the skin surface.

Function Documentation

make_skin_surface_mesh_3()

template<class WP_iterator , class Polyhedron >

void CGAL::make_skin_surface_mesh_3	(	Polyhedron &	p,
		WP_iterator	begin,
		WP_iterator	end,
		double	shrink_factor = .5,
		int	nSubdivisions = 0,
		bool	grow_balls = true
	)

#include <CGAL/make_skin_surface_mesh_3.h>

constructs a mesh of the skin surface defined by the weighted points and the shrink factor.

The function make_skin_surface_mesh_3() constructs a mesh isotopic to the skin surface based on the algorithm in [2]. It takes as input a range of weighted points and a shrink factor and outputs the mesh in a Polyhedron_3 object. A number of subdivision steps might be applied to refine the mesh.

Template Parameters

WP_iterator	must be an input iterator with weighted points as value type.
Polyhedron	must be an instance of Polyhedron_3.

Precondition

Polyhedron::HDS can be used as the template argument of the Polyhedron_incremental_builder_3<HDS>.

Examples

Skin_surface_3/skin_surface_simple.cpp.

mesh_skin_surface_3()

template<typename SkinSurface_3 , typename Polyhedron >

void CGAL::mesh_skin_surface_3	(	const SkinSurface_3 &	skin_surface,
		Polyhedron &	p
	)

#include <CGAL/mesh_skin_surface_3.h>

constructs a mesh of the skin_surface in p.

The function mesh_skin_surface_3() constructs a mesh isotopic to the skin surface based on the algorithm in [2]. It takes as input a SkinSurface_3 object, which is a model of the SkinSurface_3 concept and outputs the mesh in a Polyhedron_3 object.

Template Parameters

SkinSurface_3	must be a model of the concept SkinSurface_3.
Polyhedron	must be an instance of Polyhedron_3.

Precondition

Polyhedron::HDS can be used as the template argument of the Polyhedron_incremental_builder_3<HDS>.

Examples

Skin_surface_3/skin_surface_pdb_reader.cpp, Skin_surface_3/skin_surface_retrieve_defining_weighted_points.cpp, Skin_surface_3/skin_surface_subdiv.cpp, and Skin_surface_3/skin_surface_subdiv_with_normals.cpp.

subdivide_skin_surface_mesh_3()

template<class SkinSurface_3 , class Polyhedron >

void CGAL::subdivide_skin_surface_mesh_3	(	const SkinSurface_3 &	skin_surface,
		Polyhedron &	p,
		int	nSubdiv = 1
	)

#include <CGAL/subdivide_skin_surface_mesh_3.h>

subdivides a skin surface mesh constructed by the function mesh_skin_surface_3() using nSubdiv 1-4 split operations (each triangle is split into four sub-triangles) and the new vertices are moved towards the skin surface.

Template Parameters

SkinSurface_3	must be a model of the concept SkinSurface_3.
Polyhedron	must be an instance of Polyhedron_3.

Examples

Skin_surface_3/skin_surface_subdiv.cpp, and Skin_surface_3/skin_surface_subdiv_with_normals.cpp.