Computational and Applied Math Proseminar

Department of Mathematics and Statistics, Arizona State University

Thursday, January 29, 2004, 12:15 p.m. in GWC Room 110

Jungho Yoon

Department of Mathematics, Ewha W. University, Seoul, Korea

Approximation by Radial Basis Function and Subdivision

Abstract Radial basis function is a very sucessful and popular tool for multivariate scattered data approximation problems. Recently, it becomes popular for many applications such as surface fitting, numerical partial differential equation, image processing, and computer graphics. We will observe the state-of-the-art in the area of radial basis function methods. Next, subdivision is a powerful tool for the fast construction of smooth curves and surfaces from a set of control points by means of iterative refinements. Its basic limit (or refinable) function provides a multiresolution analysis (MRA) which is the key to wavelet construction. We will briefly discuss non-stationary and non-uniform schemes.

For further information please contact: mittelmann@asu.edu