PUCIT Research Seminar Spring 2014 TITLE: Iterative Methods of Richardson-Lucy-Type for Image Deblurring PRESENTER: Professor Dr. Kazim Khan received an M.S. in Applied Statistics in 1977, and a Ph.D. in Mathematical Statistics in 1980, both from Case Western Reserve University. Professor Khan joined the faculty of Kent State University in 1981. His research interests include applied statistics, communication and networking, mathematical finance, optimal designs of experiments, stochastic methods in approximation theory, analysis and summability theory. DATE AND TIME: Friday, May 23rd, 2014 at 2:30 pm. VENUE: PUCIT, University of the Punjab, Old Campus, The Mall, Lahore. TARGETED AUDIENCE: All are welcome. SEMINAR OUTLINE: A talk on image restoration. Abstract: Image deconvolution problems with a symmetric point-spread function arise in many areas of science and engineering. These problems often are solved by the Richardson-Lucy method, a nonlinear iterative method. We first show a convergence result for the Richardson-Lucy method. The proof sheds light on why the method may converge slowly. Subsequently, we describe an iterative active set method that imposes the same constraints on the computed solution as the Richardson-Lucy method. Computed examples show the latter method to yield better restorations than the Richardson-Lucy method and typically require less computational effort. OUTCOME: An in-depth understanding of a mathematical approach to image processing.
Posted on: Thu, 22 May 2014 03:58:36 +0000
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