Multidimensional signal and color image processing using lattices/

An Innovative Approach to Multidimensional Signals and Systems Theory for Image and Video Processing In this volume, Eric Dubois further develops the theory of multi-D signal processing wherein input and output are vector-value signals. With this framework, he introduces the reader to crucial concep...

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Bibliographic Details
Main Authors: Dubois, E. (Eric)
Corporate Authors: Wiley Online Library (Online service); Ohio Library and Information Network.
Published: John Wiley & Sons, Inc.,
Publisher Address: Hoboken, NJ :
Publication Dates: 2019.
Literature type: eBook
Language: English
Subjects:
Online Access: https://onlinelibrary.wiley.com/doi/book/10.1002/9781119111771
Summary: An Innovative Approach to Multidimensional Signals and Systems Theory for Image and Video Processing In this volume, Eric Dubois further develops the theory of multi-D signal processing wherein input and output are vector-value signals. With this framework, he introduces the reader to crucial concepts in signal processing such as continuous- and discrete-domain signals and systems, discrete-domain periodic signals, sampling and reconstruction, light and color, random field models, image representation and more. While most treatments use normalized representations for non-rectangular sampling, this approach obscures much of the geometrical and scale information of the signal. In contrast, Dr. Dubois uses actual units of space-time and frequency. Basis-independent representations appear as much as possible, and the basis is introduced where needed to perform calculations or implementations. Thus, lattice theory is developed from the beginning and rectangular sampling is treated as a special case. This is especially significant in the treatment of color and color image processing and for discrete transform representations based on symmetry groups, including fast computational algorithms. Other features include: -An entire chapter on lattices, giving the reader a thorough grounding in the use of lattices in signal processing -Extensive treatment of lattices as used to describe discrete-domain signals and signal periodicities -Chapters on sampling and reconstruction, random field models, symmetry invariant signals and systems and multidimensional Fourier transformation properties -Supplemented throughout with MATLAB examples and accompanying downloadable source code Graduate and doctoral students as well as senior undergraduates and professionals working in signal processing or videomage processing and imaging will appreciate this fresh approach to multidimensional signals and systems theory, both as a thorough introduction to the subject and as inspiration for future
Item Description: Description based on print version record.
Carrier Form: 1 online resource (xiii, 349 pages) : illustrations
Also available in print.
Bibliography: Includes bibliographical references and index
ISBN: 9781119111771
1119111773
1119111757
9781119111757
1119111765
9781119111764
9781119111740
Index Number: TK5102
CLC: TN911.7
Contents: Continuous-domain signals and systems -- Discrete-domain signals and systems -- Discrete-domain periodic signals -- Continuous-domain periodic signals -- Sampling and reconstruction -- Light and color -- Color signals and systems -- Random field models -- Analysis and design -- Changing the sampling structure -- Symmetry invariant signals and systems -- Lattices