Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

A generative classification of mesh refinement rules with lattice transformations.

Ivrissimtzis, I. and Dodgson, N. and Sabin, M. (2004) 'A generative classification of mesh refinement rules with lattice transformations.', Computer aided geometric design., 21 (1). pp. 99-109.

Abstract

We give a classification of subdivision refinement rules using similarity transformations of lattices. Our work expands recent results in the classification of primal triangular subdivision. In the examples we concentrate on the cases with a low ratio of similarity and find new univariate and bivariate refinement rules with the lowest possible such ratio, showing that this very low ratio usually comes at the expense of symmetry.

Item Type:Article
Keywords:Subdivision, Lattices, Classification, Mesh refinement.
Full text:Full text not available from this repository.
Publisher Web site:http://dx.doi.org/10.1016/j.cagd.2003.08.001
Date accepted:No date available
Date deposited:No date available
Date of first online publication:January 2004
Date first made open access:No date available

Save or Share this output

Export:
Export
Look up in GoogleScholar