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03/07/2012, 16:30 — 17:30 — Room P3.10, Mathematics Building
, The Chinese University of Hong Kong

Tight-frame Approach for Image Processing

In many practical problems in image processing, the observed data sets are often incomplete in the sense that features of interest in the image are missing partially or corrupted by noise. The recovery of missing data from incomplete data is an essential part of any image processing procedures whether the final image is utilized for visual interpretation or for automatic analysis. In this talk, we present our tight-frame algorithm for missing data recovery. Tight-frames are extension of wavelets. They generalize orthonormal wavelet systems and give more flexibility in filter designs. We begin our talk with an introduction of tight-frames. Then we illustrate how to apply the idea to different image processing applications such as inpainting, impulse noise removal, super-resolution image reconstruction and video enhancement.

Joint work with X. M. Yuan (Hong Kong Baptist University) and J. F. Yang and M. Tao (Nanking University).

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The Mathematics Colloquium is a series of monthly talks organized by the Department of Mathematics of IST, aiming to be a forum for the presentation of mathematical ideas or ideas about Mathematics. The Colloquium welcomes the participation of faculty, researchers and undergraduate or graduate students, of IST or other institutions, and is seen as an opportunity of bringing together and fostering the building up of ideas in an informal atmosphere.


Organizers: Conceição Amado, Lina Oliveira e Maria João Borges.