Locally Supported Kernels for Spherical Spline Interpolation

✍ Scribed by Michael Schreiner

• Book ID: 102969306
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 578 KB
• Volume: 89
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1997.3037

✦ Synopsis

By the use of locally supported basis functions for spherical spline interpolation the applicability of this approximation method is extended, since the resulting interpolation matrix is sparse and thus efficient solvers can be used. In this paper we study locally supported kernels in detail. Investigations on the Legendre coefficients allow a characterization of the underlying Hilbert space structure. We show how spherical spline interpolation with polynomial precision can be managed with locally supported kernels, thus giving the possibility to combine approximation techniques based on spherical harmonic expansions with those based on locally supported kernels.

1997 Academic Press This situation has completely changed when it was recognized that also kernels with a local support could be used within the existing framework, cf. . Hence the numerical effort for storing and solving the article no. AT973037 172