Subdivision Depth Computation for Catmull-Clark Subdivision Surfaces
Fuhua Cheng,Jun-Hai Yong +1 more
TLDR
The distance and the subdivision depth computation techniques provide the long-needed precision/error control tools in subdivision surface trimming, finite element mesh generation, Boolean operations, and surface tessellation for rendering processes.Abstract:
A subdivision depth computation technique for Catmull-Clark subdivision surfaces (CCSS’s) is presented. The subdivision depth computation technique also includes distance evaluation techniques for CCSS patches with their control meshes. The distance and the subdivision depth computation techniques provide the long-needed precision/error control tools in subdivision surface trimming, finite element mesh generation, Boolean operations, and surface tessellation for rendering processes.read more
Citations
More filters
Journal ArticleDOI
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
TL;DR: This survey summarizes research on subdivision surfaces over the last 15 years in three major strands: analysis, integration into existing systems and the development of new schemes.
Journal ArticleDOI
Subdivision depth computation for n -ary subdivision curves/surfaces
TL;DR: This technique also includes error bound evaluation technique for n-ary subdivision curves/surfaces with their control polygon that provides error control tools in subdivision schemes.
Book ChapterDOI
Subdivision depth computation for extra-ordinary catmull-clark subdivision surface patches
TL;DR: With the new technique, no excessive subdivision is needed for extra-ordinary CCSS patches to meet the precision requirement and, consequently, one can make trimming, finite element mesh generation, boolean operations, and tessellation of CCSSs more efficient.
Journal ArticleDOI
A bound on the approximation of a Catmull--Clark subdivision surface by its limit mesh
TL;DR: A bound on the distance between a CCSS patch and its limit face is derived in terms of the maximum norm of the second order differences of the control points and a constant that depends only on the valence of the patch.
Journal ArticleDOI
Adaptive Subdivision of Catmull-Clark Subdivision Surfaces
Jun-Hai Yong,Fuhua Cheng +1 more
TL;DR: This paper presents an adaptive subdivision technique that works for cubic Doo-Sabin subdivision surfaces, non-uniform cubic subdivision s... and the number of faces generated in the adaptively refined meshes is one order less than the uniform approach.
References
More filters
Journal ArticleDOI
Introduction to Probability Models.
TL;DR: There is a comprehensive introduction to the applied models of probability that stresses intuition, and both professionals, researchers, and the interested reader will agree that this is the most solid and widely used book for probability theory.
Journal ArticleDOI
Introduction to Probability Models.
John Hickey,Sheldon M. Ross +1 more
TL;DR: The nationwide network of sheldon m ross introduction to probability models solutions is dedicated to offering you the ideal service and will help you with this kind of manual.
Journal ArticleDOI
Recursively generated B-spline surfaces on arbitrary topological meshes
Ed Catmull,J. Clark +1 more
TL;DR: The method is presented as a generalization of a recursive bicubic B-spline patch subdivision algorithm, which generates surfaces that approximate points lying-on a mesh of arbitrary topology except at a small number of points, called extraordinary points.
Journal ArticleDOI
Behaviour of recursive division surfaces near extraordinary points
D. Doo,Malcolm A. Sabin +1 more
TL;DR: In this article, the behaviour of the limits surface defined by a recursive division construction can be analyzed in terms of the eigenvalues of a set of matrices, and suggestions for the further improvement of the method are made.
Proceedings ArticleDOI
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
TL;DR: This paper disprove the belief widespread within the computer graphics community that Catmull-Clark subdivision surfaces cannot be evaluated directly without explicitly subdividing and shows that the surface and all its derivatives can be evaluated in terms of a set of eigenbasis functions which depend only on the subdivision scheme.