Department of Mathematical & Statistical Sciences

COLLOQUIUM

“A mulit-level approach to context-preserving smooth function extension”

Dr. Charles K. Chui

University of Missouri-St. Louis, MO and Stanford University, CA

Thursday, April 8th, 2010

3:30 p.m. in CAB 657

Abstract:

We introduce a multi-level interpolation (MLI) approach to the study of context-preserving smooth function extension on manifolds, with application to image inpainting. Solution of the Dirichlet problem relative to some Sturm-Liouville differential operator is used as the ground level of the MLI and "wavelet details" in terms of certain appropriate mixed differential boundary data are filled in, according to the desirable number of MLI levels. An error formula, in terms of integral diffusion operators, with Green's functions of the lagged anisotropic differential operators as diffusion kernels, is formulated and applied to derive the order of approximation.

***For those attending the Colloquium,
a reception will be held at 4:30 pm in CAB 649***