An Adaptive Method for Choosing Center Sets of RBF Interpolation

• DOI: 10.4304/jcp.6.10.2112-2119
• Publication Date: 2011-09-27T12:43:40Z
• Authors: Dianxuan Gong; Jincai Chang; Chuanan Wei
• Keywords: Interpolation; Center (category theory)

Radial basis functions (RBF) provide powerful meshfree methods for multivariate interpolation scattered data. RBF have been praised their simplicity and ease of implementation in data approximation. But both the approximation quality stability depend on distribution center set. It leads immediately to problem finding good or even optimal point sets reconstruction process. Many are constructed choosing. In this paper, we give a short overview these algorithms including thinning algorithm, greedy arclength equipartition like algorithm k-means clustering algorithm. A new adaptive data-dependent method is provided at end with some numerical examples show its effectiveness.