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Mathematics in Image Processing
Edited by: Hongkai Zhao, University of California, Irvine, CA
A co-publication of the AMS and IAS/Park City Mathematics Institute.

IAS/Park City Mathematics Series
2013; 245 pp; hardcover
Volume: 19
ISBN-10: 0-8218-9841-8
ISBN-13: 978-0-8218-9841-3
List Price: US$64
Member Price: US$51.20
Order Code: PCMS/19
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The theme of the 2010 PCMI Summer School was Mathematics in Image Processing in a broad sense, including mathematical theory, analysis, computation algorithms and applications. In image processing, information needs to be processed, extracted and analyzed from visual content, such as photographs or videos. These demands include standard tasks such as compression and denoising, as well as high-level understanding and analysis, such as recognition and classification. Centered on the theme of mathematics in image processing, the summer school covered quite a wide spectrum of topics in this field. The summer school is particularly timely and exciting due to the very recent advances and developments in the mathematical theory and computational methods for sparse representation.

This volume collects three self-contained lecture series. The topics are multi-resolution based wavelet frames and applications to image processing, sparse and redundant representation modeling of images and simulation of elasticity, biomechanics, and virtual surgery. Recent advances in image processing, compressed sensing and sparse representation are discussed.

Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.


Graduate students and research mathematicians interested in the mathematics of image processing.


"In summary, the book gives nice and concise overviews on wavelet-frame based image processing, spare and redundant representation models and simulation of elastic materials and can be recommended to students and lecturers."

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