Medial Representations Mathematics, Algorithms and Applications
The last half century has seen the development of many biological or physical theories that have explicitly or implicitly involved medial descriptions of objects and other spatial entities in our world. Simultaneously mathematicians have studied the prope
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Computational Imaging and Vision Managing Editor
MAX VIERGEVER Utrecht University, The Netherlands Series Editors GUNILLA BORGEFORS, Centre for Image Analysis, SLU, Uppsala, Sweden RACHID DERICHE, INRIA, France THOMAS S. HUANG, University of Illinois, Urbana, USA KATSUSHI IKEUCHI, Tokyo University, Japan TIANZI JIANG, Institute of Automation, CAS, Beijing REINHARD KLETTE, University of Auckland, New Zealand ALES LEONARDIS, ViCoS, University of Ljubljana, Slovenia HEINZ-OTTO PEITGEN, CeVis, Bremen, Germany JOHN K. TSOTSOS, York University, Canada This comprehensive book series embraces state-of-the-art expository works and advanced research monographs on any aspect of this interdisciplinary field. Topics covered by the series fall in the following four main categories: • Imaging Systems and Image Processing • Computer Vision and Image Understanding • Visualization • Applications of Imaging Technologies Only monographs or multi-authored books that have a distinct subject area, that is where each chapter has been invited in order to fulfill this purpose, will be considered for the series.
Volume 37 For other titles published in this series, go to www.springer.com/series/5754
Medial Representations Mathematics, Algorithms and Applications Edited by
Kaleem Siddiqi and Stephen M. Pizer Authors
Kaleem Siddiqi and Stephen M. Pizer – Principal Authors James N. Damon and Peter J. Giblin – Principal Mathematics Authors Nina Amenta
Diego Macrini
Gunilla Borgefors
Ingela Nyström
Sylvain Bouix Robert Broadhurst
Jayant Shah Gabriella Sanniti di Baja
Edward Chaney
Ali Shokoufandeh
Sunghee Choi Sven Dickinson
Gábor Sz ékely Martin Styner
P. Thomas Fletcher
Timothy Terriberry
Qiong Han Sarang Joshi
Andrew Thall Paul Yushkevich
Benjamin B. Kimia
Juan Zhang
Fr éderic F. Leymarie
ABC
Editors Kaleem Siddiqi McGill University School of Computer Science 3480 University St. Montreal QC H3A 2A7 Canada [email protected]
ISBN: 978-1-4020-8657-1
Stephen M. Pizer Department of Computer Science University of North Carolina Campus Box 3175 Chapel Hill NC 27599-3175 Sitterson Hall USA [email protected]
e-ISBN: 978-1-4020-8658-8
Library of Congress Control Number: 2008930851
c 2008 Springer Science + Business Media B.V. No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Cover illustration: WMXDesign Gmbh Printed on acid-free paper. 987654321 springer.com
This book is dedicated to Harry Blum, who started it all.
Preface
The last half century has seen the development of many biological or physical theories that have explicitly or implicitly involved medial descriptions of objects and other spatial entities in our world. Simultaneously mathematicians have studi
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