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.
|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|
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