Spline and Spline Wavelet Methods with Applications to Signal and Image Processing (PDF)
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This book presents various contributions of splines to signal and image processing from a unified perspective that is based on the Zak transform (ZT). It expands the methodology from periodic splines, which were presented in the first volume, to non-periodic splines. Together, these books provide a universal toolbox accompanied by MATLAB software for manipulating polynomial and discrete splines, spline-based wavelets, wavelet packets and wavelet frames for signal/ image processing applications.
In this volume, we see that the ZT provides an integral representation of discrete and polynomial splines, which, to some extent, is similar to Fourier integral. The authors explore elements of spline theory and design, and consider different types of polynomial and discrete splines. They describe applications of spline-based wavelets to data compression. These splines are useful for real-time signal processing and, in particular, real-time wavelet and frame transforms.
Furthertopics addressed in this volume include: "global" splines, such as interpolating, self-dual and smoothing, whose supports are infinite; the compactly supported quasi-interpolating and smoothing splines including quasi-interpolating splines on non-uniform grids; and cubic Hermite splines as a source for the design of multiwavelets and multiwavelet frames.
Readers from various disciplines including engineering, computer science and mathematical information technology will find the descriptions of algorithms, applications and software in this book especially useful.
Pekka Neittaanmäki is Professor in Scientific Computing and Dean of the Faculty of Information Technology and Head of COMAS (Computing and Mathematical Sciences) Graduate School at the University of Jyväskylä, Visiting Professor at the Tokyo Institute of Technology, Japan, and Adjoint Professor at the University of Houston, USA. His research interests are mathematical and numerical modeling, signal analysis, data analysis, optimization, and optimal control. He is the author or co-author of more than 300 publications in various parts of numerical analysis and applied mathematics including 14 books. He has supervised more than 80 PhD theses. He has participated in many industrial projects in Finland and Europe including among others paper machine, telecommunication, process industry as well as medical diagnostics applications.
Valery A. Zheludev, received his M.S. degree on Math. Physics from St. Petersburg State University, Russia. He received Ph.D. degree on Math. Physics from Steklov Math. Inst. of Acad. Sci. USSR and the prize "For the
Fields of research:|
Wavelet and Frame Analysis, Approximation Theory, Signal and Image Processing, Hyperspectral Processing, Geophysics, Pattern Recognition, Target Detection, Medical Imaging.
Participated in many industrialresearch projects in Israel and Finland in cooperation with the Israeli Ministries of Defense and Sciences and with companies such as Paradigm Geophysical Ltd, Waves Audio Ltd, Bar-Kal Systems Engineering Ltd, ELTA Systems Ltd., Applied Materials, Orbotech, Nova, ElOp, Elta, Metso, Patria Avation, TietoSaab.
- Autoren: Amir Z. Averbuch , Pekka Neittaanmäki , Valery A. Zheludev
- 2015, 1st ed. 2016, 426 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319223038
- ISBN-13: 9783319223032
- Erscheinungsdatum: 27.08.2015
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- Dateiformat: PDF
- Größe: 12 MB
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“This excellent monograph provides a universal toolbox (with numerous MATLAB codes) for methods with polynomial resp. discrete splines and spline wavelets and corresponding applications in signal and image processing. … This book is well-written and contains many examples and figures. It is very convenient for broad readership of graduate students and researchers in applied mathematics, computer science, physics, and engineering. Doubtless, this nice book will stimulate further applications of spline wavelet methods.” (Manfred Tasche, zbMATH 1338.65032, 2016)
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