This book publishes a collection of original scientific research articles that address the state-of-art in using partial differential equations for image and signal processing. The topics covered in this book include: level set methods for image segmentation and construction, denoising techniques, digital image inpainting, image dejittering, image registration, and fast numerical algorithms for solving these problems. The book is suitable for readers working with computer vision and visualization, image and signal processing, as well as medical imaging and numerical mathematics.
The partial differential equations used for different problems discussed in this proceeding provide some rich research topics for people working with mathematical analysis and numerical simulations. This volume collects new developments in this field and points to the newest literature results. It is good resource for people working on related problems as well as for people who are new in this field.
Mathematics and Visualization Series Editors Gerald Farin Hans-Christian Hege David Hoffman Christopher R. Johnson Konrad Polthier Martin Rumpf
Xue-Cheng Tai Knut-Andreas Lie Tony F. Chan Stanley Osher Editors
Image Processing Based on Partial Differential Equations Proceedings of the International Conference on PDE-Based Image Processing and Related Inverse Problems, CMA, Oslo, August 8 –12, 2005 With 174 Figures, 22 in Color and 18 Tables
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Xue-Cheng Tai
Knut-Andreas Lie
Professor of Mathematics Department of Mathematics University of Bergen, Johannes Brunsgate 12, Bergen, N-5008, Norway
[email protected]
SINTEF ICT, Dept. Applied Math. PO Box 124 Blindern N-0314 Oslo, Norway Knut-Andreas.Lie @sin