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Special Semester on Quantitative Biology analyzed by Mathematical Methods
Linz, October 1, 2007 - January 27, 2008
Using TV-Stokes equations for digital image denoising and restoration

Workshop on Bioimaging II / PDEs, Tue, 20 Nov, 2007

Speaker: Xue-Cheng Tai

Abstract

Abstract: In this talk, we shall try to summarize the work we have done recently about using partial differential equations for image analysis and processing, we shall concentrate on noise removal and restoration. We shall start by the well-known total variation denoising techniques. From numerical experiments and some analysis, we show that better properties can be kept if we use some modified higher oder partial differential equations. In the end, we show that TV-Stokes equations is a naturally choice for noise removal and image inpainting. However, the equations we derive here is not coming from fluid mechanics, but from some geometrical considerations for digital images.

This talk is based on joint works with: S. Osher, R. Holm and T. Rahman. See http://www.mi.uib.no/~tai.

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