
Mathematics in Image Processing
Hongkai Zhao(Editor)
American Mathematical Society (Publisher)
Will be published approx. on 30. July 2013
Book
Hardback
245 pages
978-0-8218-9841-3 (ISBN)
Description
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 analysed 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. Centred 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 modelling of images and simulation of elasticity, biomechanics, and virtual surgery. Recent advances in image processing, compressed sensing and sparse representation are discussed.
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 modelling of images and simulation of elasticity, biomechanics, and virtual surgery. Recent advances in image processing, compressed sensing and sparse representation are discussed.
Reviews / Votes
...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." - DMVMore details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Weight
670 gr
ISBN-13
978-0-8218-9841-3 (9780821898413)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Hongkai Zhao, University of California, Irvine, CA, USA.
Content
Preface
Hongkai Zhao: Introduction
Bin Dong and Zuowei Shen: MRA-Based Wavelet Frames and Applications
Introduction
Lecture 1. Multiresolution analysis
Lecture 2. MRA-based tight wavelet frames
Lecture 3. Pseudo-splines and tight frames
Lecture 4. Frame based image restorations
Lecture 5. Other applications of frames
Bibliography
Michael Elad: Five Lectures on Sparse and Redundant Representations Modelling of Images
Preface
Lecture 1. Introduction to sparse approximations - algorithms
Lecture 2. Introduction to sparse approximations - theory
Lecture 3. Sparse and redundant representation modelling
Lecture 4. First steps in image processing
Lecture 5. Image processing - more practice
Bibliography
J. M. Teran, J. L. Hellrung, Jr. and J. Hegemann: Simulation of Elasticity, Biomechanics, and Virtual Surgery
Introduction
Real-time computing
Lecture 1. Introduction to continuum mechanics and elasticity
Lecture 2. Numerical solutions of the equations of elasticity
Lecture 3. Supplemental material
Bibliography
Hongkai Zhao: Introduction
Bin Dong and Zuowei Shen: MRA-Based Wavelet Frames and Applications
Introduction
Lecture 1. Multiresolution analysis
Lecture 2. MRA-based tight wavelet frames
Lecture 3. Pseudo-splines and tight frames
Lecture 4. Frame based image restorations
Lecture 5. Other applications of frames
Bibliography
Michael Elad: Five Lectures on Sparse and Redundant Representations Modelling of Images
Preface
Lecture 1. Introduction to sparse approximations - algorithms
Lecture 2. Introduction to sparse approximations - theory
Lecture 3. Sparse and redundant representation modelling
Lecture 4. First steps in image processing
Lecture 5. Image processing - more practice
Bibliography
J. M. Teran, J. L. Hellrung, Jr. and J. Hegemann: Simulation of Elasticity, Biomechanics, and Virtual Surgery
Introduction
Real-time computing
Lecture 1. Introduction to continuum mechanics and elasticity
Lecture 2. Numerical solutions of the equations of elasticity
Lecture 3. Supplemental material
Bibliography