New Proof of Dimension Formula of Spline Spaces over T-Meshes via Smoothing Cofactors
Year: 2006
Journal of Computational Mathematics, Vol. 24 (2006), Iss. 4 : pp. 501–514
Abstract
A T-mesh is basically a rectangular grid that allows T-junctions. Recently, Deng etal introduced splines over T-meshes, which are generalizations of T-splines invented by Sederberg etal, and proposed a dimension formula based on the B-net method. In this paper, we derive an equivalent dimension formula in a different form with the smoothing cofactor method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-JCM-8770
Journal of Computational Mathematics, Vol. 24 (2006), Iss. 4 : pp. 501–514
Published online: 2006-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Spline space T-mesh Smoothing cofactors.