My primary objective is to develop new theories (and their corresponding
algorithms) for data approximation:
Given a set of data (possibly contaminated), construct
a function/surface which is close in some sense to the original
(unknown) function/image/surface. Specifically, my research interests are
as follows: Subdivision Scheme, Wavelet, Scattered Data Approximation
by RBF (Radial Basis functions), Image Processing and Numerical PDE.
Approximation to Scattered Data,
PDF-file, Ph.D. Thesis, 1998,
University of Wisconsin-Madison, USA.