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Image Processing Based on Partial Differential Equations: Proceedings of the International Conference on PDE-Based Image Processing and Related ... 8-12, 2005 (Mathematics and Visualization) - Hardcover

 
9783540332664: Image Processing Based on Partial Differential Equations: Proceedings of the International Conference on PDE-Based Image Processing and Related ... 8-12, 2005 (Mathematics and Visualization)

Synopsis

The book contains twenty-two original scienti?c research articles that address the state-of-the-art in using partial di?erential equations for image and signal processing. The articles arose from presentations given at the inter- tional conference on PDE-Based Image Processing and Related Inverse Pr- lems, held at the Centre of Mathematics for Applications, University of Oslo, Norway, August 8-12, 2005. The purpose of the conference was to bring together international - searchers to present various aspects of new developments in using numerical techniques for partial di?erential equations to analyse and process digital - ages. Various aspects of new trends and techniques in this ?eld were discussed in the conference, covering the following topics: • Level set methods and applications • Total variation regularization and other nonlinear ?lters • Noise analysis and removal • Image inpainting • Image dejittering • Optical ?ow estimation • Image segmentation • Image registration • Analysis and processing of MR images and brain mapping • Image construction techniques • Level set methods for inverse problems Inverse problems for partial di?erential equations have large areas of app- cations. Although image analysis and PDE inverse problems seem to be - related at a ?rst glance, there are many techniques used in one of these two areas that are useful for the other. One goal of the conference was to highlight some of the recent e?orts in merging some of the techniques for these two research areas.

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Image Processing Based on Partial Differential Equations Publishes a collection of scientific research articles that address using partial differential equations for image and signal processing.

Synopsis

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.

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9783642069901: Image Processing Based on Partial Differential Equations: Proceedings of the International Conference on PDE-Based Image Processing and Related ... 8-12, 2005 (Mathematics and Visualization)

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Osher Stanley Chan Tony F. Lie Knut-Andreas Tai Xue-Cheng
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