**IAS/Park City Mathematics Series**

Volume: 19;
2013;
245 pp;
Hardcover

MSC: Primary 35; 42; 49; 65; 94;
**Print ISBN: 978-0-8218-9841-3
Product Code: PCMS/19**

List Price: $64.00

Individual Member Price: $51.20

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# Mathematics in Image Processing

Share this page *Edited by *
*Hongkai Zhao*

A co-publication of the AMS and IAS/Park City Mathematics Institute

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.

#### Table of Contents

# Table of Contents

## Mathematics in Image Processing

#### Readership

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

#### Reviews

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.

-- DMV