Elsevier

Computer-Aided Design

Volume 10, Issue 6, November 1978, Pages 356-360
Computer-Aided Design

Behaviour of recursive division surfaces near extraordinary points

https://doi.org/10.1016/0010-4485(78)90111-2Get rights and content

Abstract

The behaviour of the limits surface defined by a recursive division construction can be analysed in terms of the eigenvalues of a set of matrices. This analysis predicts effects actually observed, and leads to suggestions for the further improvement of the method.

References (4)

  • Catmull, E and Clark, J private communications...
  • E. Catmull et al.

    Recursively generated B-spline surfaces on arbitrary topological meshes

    Comput. Aided Des.

    (November 1978)
There are more references available in the full text version of this article.

Cited by (829)

  • MTH subdivision scheme with sharp and semi-sharp features

    2024, Journal of Computational and Applied Mathematics
  • Subdivision algorithms with modular arithmetic

    2024, Computer Aided Geometric Design
  • Bivariate non-uniform subdivision schemes based on L-systems

    2023, Applied Mathematics and Computation
View all citing articles on Scopus
View full text