CGAL 4.7 - 3D Surface Subdivision Methods: 3D Surface Subdivision Methods

\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.7 - 3D Surface Subdivision Methods

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3D Surface Subdivision Methods

##

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 3.2
BibTeX: cgal:s-ssm2-15b
License: LGPL
Windows Demo: Operations on Polyhedra
Common Demo Dlls: dlls

## Classified Reference Pages

## Concepts

- `PQQMask_3`
- `PTQMask_3`
- `DQQMask_3`
- `Sqrt3Mask_3`

## Classes

- `CGAL::Subdivision_method_3`
- `CGAL::CatmullClark_mask_3<Polyhedron_3>`
- `CGAL::Loop_mask_3<Polyhedron_3>`
- `CGAL::DooSabin_mask_3<Polyhedron_3>`
- `CGAL::Sqrt3_mask_3<Polyhedron_3>`

## Modules

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

## Classes

class | CGAL::CatmullClark_mask_3< Polyhedron_3 >
| A stencil determines a source neighborhood whose points contribute to the position of a refined point. More...
class | CGAL::DooSabin_mask_3< Polyhedron_3 >
| A stencil determines a source neighborhood whose points contribute to the position of a refined point. More...
class | CGAL::Loop_mask_3< Polyhedron_3 >
| A stencil determines a source neighborhood whose points contribute to the position of a refined point. More...
class | CGAL::Sqrt3_mask_3< Polyhedron_3 >
| A stencil determines a source neighborhood whose points contribute to the position of a refined point. More...