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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.


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.
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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

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