| Fast and Stable Evaluation of Box-Splines via the BB-Form (2009) | |||||||||||||||
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| ◮ Box-splines for generating continuous field from discrete data. Motivation ◮ Box-splines for generating continuous field from discrete data. ◮ Recursive evaluation (de Boor ’93 and Kobbelt ’97) can evaluate arbitrary box-splinesMotivation ◮ Box-splines for generating continuous field from discrete data. ◮ Recursive evaluation (de Boor ’93 and Kobbelt ’97) can evaluate arbitrary box-splines but are too slow. Motivation ◮ Box-splines for generating continuous field from discrete data. ◮ Recursive evaluation (de Boor ’93 and Kobbelt ’97) can evaluate arbitrary box-splines but are too slow. ◮ Error in tri-variate box-splines. Motivation ◮ Box-splines for generating continuous field from discrete data. ◮ Recursive evaluation (de Boor ’93 and Kobbelt ’97) can evaluate arbitrary box-splines but are too slow. ◮ Error in tri-variate box-splines. Motivation ◮ Box-splines for generating continuous field from discrete data. ◮ Recursive evaluation (de Boor ’93 and Kobbelt ’97) can evaluate arbitrary box-splines but are too slow. ◮ Error in tri-variate box-splines. ◮ Existing methods via BB-form (Chui et al. ’91 and Casciola et al. ’06) evaluate only specific box-splines. Box-splinep M � Box-splinep M� | |||||||||||||||
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