Radial Basis Function Interpolation on Irregular Domain through Conformal Transplantation

Abstract In this paper, Radial Basis Function (RBF) method for interpolating two dimensional functions with localized features defined on irregular domain is presented. RBF points located inside the domain and on its boundary are chosen such that they are the image of conformally mapped points on concentric circles on a unit disk. On the disk, a fast RBF solver to compute RBF coefficients developed by Karageorghis et al. (Appl. Numer. Math. 57(3):304

• Type: Journal
• Year: 2010
• Where: JSCIC
• Authors: Alfa R. H. Heryudono, Tobin A. Driscoll
• Keywords: JSCIC 2010, Radial Basis Functions, RBF Coefficients, RBF Points