A normalized basis for C1 cubic super spline space on Powell–Sabin triangulation

M. Lamnii, H. Mraoui, A. Tijini and A. Zidna

Mathematics and Computers in Simulation (MATCOM), 2014, vol. 99, issue C, 108-124

Abstract: In this paper, we describe the construction of a suitable normalized B-spline representation for bivariate C1 cubic super splines defined on triangulations with a Powell–Sabin refinement. The basis functions have local supports, they form a convex partition of unity, and every spline is locally controllable by means of control triangles. As application, discrete and differential quasi-interpolants of optimal approximation order are developed and numerical tests for illustrating theoretical results are presented.

Keywords: Super spline; Powell–Sabin splines; Normalized B-splines; Blossoms; Quasi-interpolation (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:99:y:2014:i:c:p:108-124

DOI: 10.1016/j.matcom.2013.04.020

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