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A bivariate cubic super spline space on Powell–Sabin triangulation

✍ Scribed by Sun-Kang Chen; Huan-Wen Liu

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 433 KB
Volume: 56
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2008.02.044

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✦ Synopsis

A bivariate C 1 cubic super spline is constructed on Powell-Sabin type-1 split with the additional smoothness at vertices in the original triangulation being C 2 , which permits the Hermite interpolation up to the second order partial derivatives exactly on all the vertices in the original triangulation. The locally supported dual basis and computational details using derivatives around each vertex are given.

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