Plenary and Semi-Plenary Lectures
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| Title: |
| Variational and PDE Methods in Image Science |
| Lecturer: |
| Stanley Osher |
| Abstract: |
| A new approach to image science is exemplified by the level set method for capturing moving fronts, which was introduced in 1987 by Osher and Sethian. It has proven to be phenomenally successful as a numerical device. For example, typing in "Level Set Methods" on GOOGLE's search engine gives roughly 180,000 responses. The original motivation came from computational mechanics, but the method quickly became an important tool in image processing, vision and graphics. Similarly, ideas appropriated from shock capturing algorithms (as suggested by L. I. Rudin in the mid 80's) and optimization have become widely used in image restoration. I will try to give an overview of this dynamic subject. |
 Stanley Osher received his MA (1964) and Phd (1966) degrees from the Courant Institute, New York University. He was employed at Brookhaven National Laboratory, University of California Berkeley, State University of New York, Stony Brook. Since 1977 he has been Professor of Mathematics at the University of California, Los Angeles where he is also Director of Special Projects at the Institute for Pure and Applied Mathematics. He was also the cofounder of three successful companies, based in part on his own research.
Dr. Osher is the coinventor and a principle developer of widely used i) state-of-the-art high resolution schemes for approximating hyperbolic conservation laws and Hamilton-Jacobi equations; ii) level set methods for computing moving fronts involving topological changes; applications and extensions include a variational version, multiphase flow, crystal growth, computer vision and graphics; iii) total variation and other partial differential equations based image processing techniques.
He has been a Fulbright Fellow (1971), an Alfred P. Sloan Fellow (1972-74) an SERC Fellow (England, 1982), a US-Israel BSF Fellow (1986), received the NASA Public Service Group Achievement Award (1992), was an invited speaker at the International Congress of Mathematics (1994), is an ICI Original Highly Cited Researcher (2002), received the Japan Society of Mechanical Engineers Computational Mechanics Award (2003), the ICIAM/SIAM Pioneer Prize (2003), the SIAM Ralph E. Kleinman Prize (2005) and was elected to the US National Academy of Sciences (2005). |
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