A generative classification of mesh refinement rules with lattice transformations

Ivrissimtzis, Ioannis; Dodgson, Neil; Sabin, Malcolm

doi:10.1016/j.cagd.2003.08.001

A generative classification of mesh refinement rules with lattice transformations

Ivrissimtzis, Ioannis; Dodgson, Neil; Sabin, Malcolm

Authors

Dr Ioannis Ivrissimtzis ioannis.ivrissimtzis@durham.ac.uk
Associate Professor

Neil Dodgson

Malcolm Sabin

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.

Citation

Ivrissimtzis, I., Dodgson, N., & Sabin, M. (2004). A generative classification of mesh refinement rules with lattice transformations. Computer Aided Geometric Design, 21(1), 99-109. https://doi.org/10.1016/j.cagd.2003.08.001

Journal Article Type	Article
Publication Date	2004-01
Deposit Date	Feb 26, 2008
Journal	Computer Aided Geometric Design
Print ISSN	0167-8396
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	21
Issue	1
Pages	99-109
DOI	https://doi.org/10.1016/j.cagd.2003.08.001
Keywords	Subdivision, Lattices, Classification, Mesh refinement.