Advances in Discrete Tomography and Its Applications
Advances in Discrete Tomography and Its Applications is a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image reconstruction by discrete tomographic methods. The self-contained chapte
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Douglas Cochran Arizona State University
Ingrid Daubechies Princeton University
Hans G. Feichtinger University of Vienna
Christopher Heil Georgia Institute of Technology
Murat Kunt Swiss Federal Institute of Technology, Lausanne
James McClellan Georgia Institute of Technology
Wim Sweldens Lucent Technologies, Bell Laboratories
Michael Unser Swiss Federal Institute of Technology, Lausanne
Martin Vetterli Swiss Federal Institute of Technology, Lausanne
M. Victor Wickerhauser Washington University
Advances in Discrete Tomography and Its Applications
Gabor T. Herman Attila Kuba Editors
Birkh¨auser Boston • Basel • Berlin
Gabor T. Herman Ph.D. Program in Computer Science The Graduate Center The City University of New York 365 Fifth Avenue New York, NY 10016 U.S.A.
Attila Kuba† Department of Image Processing and Computer Graphics University of Szeged ´ ad t´er 2. Arp´ H-6720 Szeged Hungary
Cover design by Joseph Sherman. Mathematics Subject Classification (2000): 05-04, 06-04, 15A29, 52-04, 65K10, 68U10, 90C05, 92-08 Library of Congress Control Number: 2006937473 ISBN-10: 0-8176-3614-5 ISBN-13: 978-0-8176-3614-2
e-ISBN-10: 0-8176-4543-8 e-ISBN-13: 978-0-8176-4543-4
Printed on acid-free paper. c 2007 Birkh¨auser Boston All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Birkh¨auser Boston, c/o Springer Science+Business Media LLC, 233 Spring Street, New York, NY 10013, USA) and the author, except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.
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(KeS/SB)
To the memory of Alberto Del Lungo
ANHA Series Preface
The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract harmonic analysis to basic applications. The title of the series reflects the importance of applications and numerical implementation, but richness and relevance of applications and implementation depend fundamentally on the structure and depth of theoretical underpinnings. Thus, from our point of view, the interleaving of theory and applications and their creative symbiotic evolution is axiomatic. Harmonic analysis is a wellspring of ideas and applicability that has flourished, developed, and deepened over time within many disciplines and by means of creative cross-fertilization with diverse areas. The intricate and fundamental relationship between harmonic analysis and fields such as signal processing, partial differential equat
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