Multidimensional Signal and Color Image Processing Using Lattices (eBook)

Eric Dubois (Autor)

eBook Download: PDF

2019
John Wiley & Sons (Verlag)
978-1-119-11175-7 (ISBN)

Infos

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 video/image 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 research.

PROFESSOR ERIC DUBOIS is Emeritus Professor at the University of Ottawa, Canada, a Life Fellow of the Institute of Electrical and Electronic Engineers and a Fellow of the Engineering Institute of Canada. He is a recipient of the 2013 George S. Glinski Award for Excellence in Research from the Faculty of Engineering at the University of Ottawa. His current research is focused on stereoscopic and multiview imaging, image sampling theory, image-based virtual environments and color signal processing.

Produkt-Details

• Erscheint lt. Verlag: 12.3.2019
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Themenwelt: Technik ► Nachrichtentechnik
• Schlagworte: advanced software engineering • Bild- u. Videoverarbeitung • color processing • color signal processing • Color theory • Computational Algorithms • Computer Engineering • continuous domain signals • continuous domain systems • data storage • discrete domain periodic signals • discrete domain signals • discrete transform representations • Electrical & Electronics Engineering • Elektrotechnik u. Elektronik • equivalence relations • Fourier series • Fourier transformation properties • Image and Video Processing • Image Compression • Image estimation • Image Processing • image representation • image sampling • image sampling theory • lattices • lattices in signal processing • lattice theory • light signal processing • MATLAB example sources • multidimensional Fourier transformation properties • multidimensional signal and color image processing • multiD signal processing • random field models for signal processing • rectangular sampling • sampling and reconstruction • signal periodicities • Signal Processing • Signalverarbeitung • software development • Software engineering • Symmetry Groups • symmetry invariant signals • symmetry invariant systems • vector signals • Video signal processing
• ISBN-10: 1-119-11175-7 / 1119111757
• ISBN-13: 978-1-119-11175-7 / 9781119111757