Dimensions and bases of hierarchical tensor-product splinesReportar como inadecuado




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1 Department of Naval Architecture and Ocean Engineering Seoul 2 Dipartimento di Matematica -Giuseppe Peano- Torino 3 Department of Mathematics Dongguk 4 GALAAD2 - Géométrie , Algèbre, Algorithmes CRISAM - Inria Sophia Antipolis - Méditerranée

Abstract : We prove that the dimension of trivariate tensor-product spline space of tri-degree m,m,m with maximal order of smoothness over a three- dimensional domain coincides with the number of tensor-product B-spline basis functions acting effectively on the domain considered. A domain is required to belong to a certain class. This enables us to show that, for a cer- tain assumption about the configuration of a hierarchical mesh, hierarchical B-splines span the spline space. This paper presents an extension to three-dimensional hierarchical meshes of results proposed recently by Giannelli and Ju ̈ttler for two-dimensional hierarchical meshes.





Autor: Dmitry Berdinsky - Taiwan Kim - Cesare Bracco - Durkbin Cho - Bernard Mourrain - Oh Min-Jae - Sutipong Kiatpanichgij -

Fuente: https://hal.archives-ouvertes.fr/



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