The  Weizmann  Institute  of  Science
                  Faculty of Mathematics and Computer Science


                          Vision and Robotics Seminar

                                   Guy Gilboa
                       Faculty of Electrical Engineering
                                Technion - Haifa


                                 will speak on


                         PDE-based image processing and
                the triple-well potential for image sharpening 

Abstract:
The first part of the talk will be a basic review on PDE-based image processing (an emerging field in the past decade) including linear scale space and anisotropic diffusion (Perona-Malik) with some intuition behind the math and the numerics of how to implement it.

In the second part I will present my own work in this framework on image sharpening in the presence of noise formulated as a non-convex variational problem. The energy functional to be minimized incorporates a gradient-dependent potential in shape of a triple-well, a data fidelity criterion and a high order convex regularizing term.  If time permits, examples of various other PDE-based processes will be shown such as total-variation denoising, Mumford-Shah functional, active contours (snakes) and Beltrami flow color processing.

This is a joint work with Yehoshua Zeevi and Nir Sochen.





                      The lecture will take place in the 
                     Lecture Hall, Room 1, Ziskind Building
                         on Thursday, January 16, 2003
                                 11:00 - 12:30



                Please note that this talk is longer than usual