4 research outputs found

    A generative classification of mesh refinement rules with lattice transformations

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    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

    Seventh Biennial Report : June 2003 - March 2005

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    Sixth Biennial Report : August 2001 - May 2003

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