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Spline and Spline Wavelet Methods with Applications to Signal and Image Processing: Volume III: Selected Topics

Autor Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev
en Limba Engleză Hardback – 9 iul 2018
This book provides a practical guide, complete with accompanying Matlab software, to many different types of polynomial and discrete splines and spline-based wavelets, multiwavelets and wavelet frames in signal and image processing applications. 
In self-contained form, it briefly outlines a broad range of polynomial and discrete splines with equidistant nodes and their signal-processing-relevant properties. In particular, interpolating, smoothing, and shift-orthogonal splines are presented.  







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Specificații

ISBN-13: 9783319921228
ISBN-10: 3319921223
Pagini: 287
Ilustrații: XXIV, 287 p. 131 illus., 91 illus. in color. With online files/update.
Dimensiuni: 155 x 235 mm
Greutate: 0.67 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Cuprins

Chapter 1. Introduction: Periodic Signals and Filters.- Chapter 2. Periodic Polynomial Splines.- Chapter 3. Periodic Discrete and Discrete-time Splines.- Chapter 4. Periodic Orthogonal Wavelets and Wavelet Packets.- Chapter 5. Two-dimensional Orthogonal Wavelets and Wavelet Packets.- Chapter 6. Local Splines on Non-uniform Grid.- Chapter 7. Spline-based Wavelet Transforms.- Chapter 8. Biorthogonal Wavelet Transforms Originating from Discrete and Discrete-time Splines.- Chapter 9. Wavelet Frames Generated by Spline-based p-filter Banks.- Chapter 10. Snapshot Spectral Imaging.- Chapter 11. Delineation of Malignant Skin Tumors by Hyperspectral Imaging.- Chapter 12. Acoustic Detection of Moving Vehicles.- Chapter 13. Detection of Incipient Bearing Fault in a Slowly Rotating Machine Using Spline Wavelet Packets.

Recenzii

“This book is well-written and contains numerous examples and figures. It is very convenient for broad readership of students and researchers in applied mathematics, computer science, physics, and engineering. Doubtless, these volumes will stimulate the applications of spline-based wavelet methods.” (Manfred Tasche, zbMATH 1398.65004, 2018)​

Textul de pe ultima copertă

This book provides a practical guide, complete with accompanying Matlab software, to many different types of polynomial and discrete splines and spline-based wavelets, multiwavelets and wavelet frames in signal and image processing applications. 

In self-contained form, it briefly outlines a broad range of polynomial and discrete splines with equidistant nodes and their signal-processing-relevant properties. In particular, interpolating, smoothing, and shift-orthogonal splines are presented.  


Caracteristici

Covers important practical applications for signal/image processing Provides state-of-the-art mathematical tools Presents various methods and Matlab codes, supported by accompanying software

Notă biografică

Amir Averbuch is a professor of Computer since 1987 in the School of Computer Science, Tel Aviv University. He is also the founder and CSO of ThetaRay LTD. He got his B.Sc and M.Sc in mathematics from the Hebrew University in Jerusalem in 1968, 1975, respectively, and a PhD in computer Science from Columbia University in 1983. He has over 30 years of experience in research and development in academia and industry. Between 1977-1986 he was research staff member in IBM T.J. Watson Research Center, Yorktown Heights. New York. His research interests include applied and computational harmonic analysis, big data processing and analysis, cyber security, signal/image processing, Wavelets, scientific computing He was visiting professor in many places. He has supervised 102 M.Sc. 19 PhD and 13 post-doc students. He has published 198 papers in refereed journals, 170 papers in conferences, 10 chapters in books and 20 patents.
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 best Ph.D thesis" at St. Petersburg University. He received Dr. Sci. degree (habilitation) on Comput. Math. from Siberia Branch of Acad. Sci. USSR. Took positions from Lecturer at Pedagogical Univ., St. Petersburg, to full Professor at St.-Petersburg Military Institute for Construction Engineering. In 1995 he moved to Israel, where took positions from Researcher to Associate Professor at the School of Computer Science, TelAviv University, Israel. Currently, he is retired from the Associate Professor position and is working as a Researcher at the RAMOT company, which is a research branch of Tel Aviv University. Starting from 2010 he is working as a Senior Researcher at the Dept. of Mathematical Information Technology, University of Jyvaskyla, Finland.
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.