Local hybrid approximation for scattered data fitting with bivariate splines

We suggest a local hybrid approximation scheme based on polynomials and radial basis functions, and use it to modify the scattered data fitting algorithm of [7]. Similar to that algorithm, the new method has linear computational complexity and is therefore suitable for large real world data. Numerical examples suggest that it can produce high quality artefact-free approximations that are more accurate than those given by the original method where pure polynomial local approximations are used.

• Type: Journal
• Year: 2006
• Where: CAGD
• Authors: Oleg Davydov, Rossana Morandi, Alessandra Sestini
• Keywords: Approximations, CAGD 2006, Hybrid Approximation Scheme, Radial Basis Functions