Variational Methods in Imaging
This book is devoted to the study of variational methods in imaging. The presentation is mathematically rigorous and covers a detailed treatment of the approach from an inverse problems point of view. Key Features: - Introduces variational methods with mo
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Variational Methods in Imaging 13
Applied Mathematical Sciences Volume 167 Editors S.S. Antman J.E. Marsden L. Sirovich
Advisors J.K. Hale P. Holmes J. Keener J. Keller B.J. Matkowsky A. Mielke C.S. Peskin K.R. Sreenivasan
For further volumes: http://www.springer.com/series/34
Otmar Scherzer Harald Grossauer Frank Lenzen
Markus Grasmair Markus Haltmeier
Variational Methods in Imaging With 72 Figures
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Otmar Scherzer [email protected]
Markus Grasmair [email protected]
Markus Haltmeier [email protected]
Frank Lenzen [email protected]
Harald Grossauer [email protected]
All affiliated with: Department of Mathematics University of Innsbruck Techniker Str. 21a/2 6020 Insbruck Austria Editors S.S. Antman Department of Mathematics and Institute for Physical Science and Technology University of Maryland College Park, MD 20742-4015 USA [email protected]
J.E. Marsden Control and Dynamical Systems, 107-81 California Institute of Technology Pasadena, CA 91125 USA [email protected]
ISBN: 978-0-387-30931-6 DOI: 10.1007/978-0-387-69277-7
L. Sirovich Laboratory of Applied Mathematics Department of Biomathematical Sciences Mount Sinai School of Medicine New York, NY 10029-6574 USA [email protected]
e-ISBN: 978-0-387-69277-7
Library of Congress Control Number: 2008934867 Mathematics Subject Classification (2000): 68U10 c 2009 Springer Science+Business Media, LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), 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. Printed on acid-free paper springer.com
This book is dedicated to Zuhair Nashed on the occasion of his 70th birthday. Zuhair has collaborated with Heinz Engl, University of Linz, Austria. Heinz Engl in turn has supervised Otmar Scherzer, who was also supervised afterwards by Zuhair during several long- and-short term visits in the USA. Finally, Markus Grasmair was supervised by Otmar Scherzer during his PhD studies, and the thesis was also evaluated by Zuhair. Three generations of mathematicians in Austria congratulate Zuhair and his family on his 70th birthday. Otmar Scherzer also dedicates this book to his family: Roswitha, Anna, Simon, Heide, Kurt, Therese, Franz, Paula, and Josef. Markus Haltmeier dedicates this book to his family. Frank Lenzen dedicates this book to Bettina, Gisela, Dieter, and Ulli.
Preface
Imaging is an interdisciplinary research area with profound applications
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