Spline and Spline Wavelet Methods with Applications to Signal and Image Processing
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-perio
- PDF / 13,103,938 Bytes
- 441 Pages / 453.543 x 683.15 pts Page_size
- 100 Downloads / 219 Views
and Spline Wavelet Methods with Applications to Signal and Image Processing Volume II: Non-Periodic Splines
Spline and Spline Wavelet Methods with Applications to Signal and Image Processing
Amir Z. Averbuch Pekka Neittaanmäki Valery A. Zheludev •
Spline and Spline Wavelet Methods with Applications to Signal and Image Processing Volume II: Non-Periodic Splines
123
Valery A. Zheludev School of Computer Science Tel Aviv University Tel Aviv Israel
Amir Z. Averbuch School of Computer Science Tel Aviv University Tel Aviv Israel Pekka Neittaanmäki Department of Mathematical Information Technology University of Jyväskylä Jyväskylä Finland
Additional material to this book can be downloaded from http://extras.springer.com. ISBN 978-3-319-22302-5 DOI 10.1007/978-3-319-22303-2
ISBN 978-3-319-22303-2
(eBook)
Library of Congress Control Number: 2015946739 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
To Dorit Peled-Averbuch Neittaanmäki Family Tatiana Zheludev
Preface
Since their introduction in the pioneering work by Schoenberg [73], splines have become one of the powerful tools in mathematics [2, 44, 74, 75, 94] and, for example, in computer-aided geometric designs [20, 27, 43, 45, 56, 103]. In recent decades, splines have served as a source for the wavelet [1, 3, 4, 10, 12, 15, 29, 37, 38, 57, 68, 78, 87, 90, 91, 95, 100, 101, 102], multiwavelet [11, 41, 72, 80], and wavelet frame constructions [14, 17, 19, 35, 36, 42, 64, 69]. Splines and splinebased wavelets, wavelet packets, and frames have been extensively used in signal and image processing applications [5, 6, 9, 13, 16, 22, 24, 25, 31, 32, 46, 49, 51, 52, 63, 79, 84, 86, 88, 89], to name a few. An excellent survey for the state-of-the-art (as of year 1999) on spline theory an
Data Loading...
