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1998 New Zealand Mathematics Colloquium
July 6-9, 1998
Victoria University of Wellington
Wellington, New Zealand

Organizers
Peter Donelan, Chris Atkin, John Harper, Philip Rhodes-Robinson, Jim Neyland, Geoff Whittle, Steve White, Vladimir Pestov, Tom Crosby

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Fast Evaluation of Radial Basis Functions: methods for generalised multiquadrics in Rn
by
Jon Cherrie
University of Canterbury

Radial basis functions (RBFs) are commonly used for interpolation to non-gridded data in two or more dimensions as they produce an invertible system with only weak conditions, or no conditions on the locations of the interpolation nodes. However, calculation and evaluation of RBFs for large data sets can be computationaly expensive. We describe a hierarchical method for fast evaluation of RBFs and develop the necessary expansions for the generalised multiquadric.

Date received: June 15, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabd-60.