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The Shape Parameter in the Shifted Surface Spline

2010/10/31 by Lin-Tian Luh, Luh, Lin-Tian
Engineering · #41A05 #41A15 #41A25 #41A30 #41A63 #65D10 #Advanced Numerical Analysis Techniques #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Soil, Finite Element Methods

paper · pdf · doi:10.48550/arxiv.1011.0124

openalex publication_date 2010/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

There is a constant c contained in the famous radial basis function shifted surface spline. It's called shape parameter. RBF people only know that this constant is very influential, while its optimal choice is unknown. This paper presents criteria of its optimal choice.

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