Conditions for tangent plane continuity over recursively generated B-spline surfaces-Reference-Cited by-同舟云学术

Conditions for tangent plane continuity over recursively generated B-spline surfaces

Published:1988-04 Issue:2 Volume:7 Page:83-102
ISSN:0730-0301
Container-title:ACM Transactions on Graphics
language:en
Short-container-title:ACM Trans. Graph.

Author:

Ball A. A.¹,Storry D. J. T.¹

Affiliation:

1. Loughborough Univ. of Technology, Loughborough, Leicestershire, UK

Abstract

The continuity properties of recursively generated B-spline surfaces over an arbitrary topology have been related to the eigenproperties of the local subdivision transformation. In this paper a discrete Fourier transform technique is employed to derive these eigenproperties for a general choice of subdivision weightings. Conditions on these weightings are identified for tangent plane continuity at the extraordinary points and a geometric interpretation is given.

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Graphics and Computer-Aided Design

Link

https://dl.acm.org/doi/pdf/10.1145/42458.42459

Reference7 articles.

1. A matrix approach to the analysis of recursively generated B-spline surfaces;BALL A. A.;Comput. Aided Des.,1986

2. Recursively generated B-spline surfaces on arbitrary topological meshes;CATMULL E.;Comput. Aided Des.,1978

3. Behaviour of recursive division surfaces near extraordinary points;SABIN M.A;Comput. Aided Des.,1978

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