Computational and Applied Math Proseminar

Department of Mathematics, Arizona State University

Thursday, September 11, 2003, 12:15 p.m. in GWC604

Rick Archibald

Department of Electrical Engineering

Multivariate Local Edge Detection on Scattered Data

Abstract This talk will present a new local edge detection method that is effective on multivariate irregular data in any domain. The method is numerically cost efficient and entirely independent of any specific shape or complexity of boundaries. Application of the minmod algorithm to various orders of our edge detection method ensures a high rate of convergence away from the discontinuities while reducing the inherent oscillations near the discontinuities. It further enables distinction of jump discontinuities from steep gradients, even in instances where only sparse non-uniform data is available. The resulting minmod edge detection method is successfully demonstrated in both one and two dimensions.

For further information please contact: mittelmann@asu.edu