Trivariate spline quasi-interpolants based on simplex splines and polar forms

A. Serghini and A. Tijini

Mathematics and Computers in Simulation (MATCOM), 2015, vol. 118, issue C, 343-359

Abstract: In this work we describe an approximating scheme based on simplex splines on a tetrahedral partition using volumetric data. We use the trivariate simplex B-spline representation of polynomials or piecewise polynomials in terms of their polar forms to construct several differential or discrete quasi interpolants which have an optimal approximation order.

Keywords: Polar form; Quasi-interpolation; Simplex B-spline (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:118:y:2015:i:c:p:343-359

DOI: 10.1016/j.matcom.2014.11.008

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