3D Surface Subdivision Methods Reference

Le-Jeng Andy Shiue

Subdivision methods recursively refine a control mesh and generate points approximating the limit surface. This package consists of four popular subdivision methods and their refinement hosts. Supported subdivision methods include Catmull-Clark, Loop, Doo-Sabin and \( \sqrt{3}\) subdivisions. Their respective refinement hosts are Pqq, Ptq, Dqq and \( \sqrt{3}\) refinements. Variations of those methods can be easily extended by substituting the geometry computation of the refinement host.

Introduced in: CGAL 4.11
BibTeX: cgal:s-ssm2-23a
License: LGPL
Windows Demo: Polyhedron demo
Common Demo Dlls: dlls

Classified Reference Pages

Parameters

Optional parameters of the functions of this package are implemented as Named Parameters. The page Named Parameters describes their usage.

Concepts

• SubdivisionMask_3
• PQQMask_3
• PTQMask_3
• DQQMask_3
• Sqrt3Mask_3

Functions

• CGAL::Subdivision_method_3::PQQ()
• CGAL::Subdivision_method_3::PTQ()
• CGAL::Subdivision_method_3::DQQ()
• CGAL::Subdivision_method_3::Sqrt3()
• CGAL::Subdivision_method_3::CatmullClark_subdivision()
• CGAL::Subdivision_method_3::Loop_subdivision()
• CGAL::Subdivision_method_3::DooSabin_subdivision()
• CGAL::Subdivision_method_3::Sqrt3_subdivision()

Classes

• CGAL::CatmullClark_mask_3<PolygonMesh>
• CGAL::Loop_mask_3<PolygonMesh>
• CGAL::DooSabin_mask_3<PolygonMesh>
• CGAL::Sqrt3_mask_3<PolygonMesh>
• CGAL::Linear_mask_3<PolygonMesh>

Modules
	Concepts
	Subdivision Methods
	A subdivision method recursively refines a coarse mesh and generates an ever closer approximation to a smooth surface.

Files
file	subdivision_method_3.h
	Convenience header file including the headers for all the free functions of this package.

Classes
class	CGAL::CatmullClark_mask_3< PolygonMesh, VertexPointMap >
	The geometry mask of Catmull-Clark subdivision. More...
class	CGAL::Loop_mask_3< PolygonMesh, VertexPointMap >
	The geometry mask of Loop subdivision. More...
class	CGAL::DooSabin_mask_3< PolygonMesh, VertexPointMap >
	The geometry mask of Doo-Sabin subdivision. More...
class	CGAL::Sqrt3_mask_3< PolygonMesh, VertexPointMap >
	The geometry mask of Sqrt(3) subdivision. More...