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level set methods
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level set 讲的比较清楚 Level Set Methods and Dynamic Implicit Surfaces
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Level Set Methods and
Dynamic Implicit
Surfaces
Stanley Osher
Ronald Fedkiw
SPRINGER
Applied Mathematical Sciences
Volume 153
Editors
S.S. Antman J.E. Marsden L. Sirovich
Advisors
J.K. Hale P. Holmes J. Keener
J. Keller B.J. Matkowksy A. Mielke
C.S. Peskin K.R. Sreenivasan
Springer
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Stanley Osher Ronald Fedkiw
Level Set Methods and
Dynamic Implicit Surfaces
With 99 Figures, Including 24 in Full Color
Stanley Osher Ronald Fedkiw
Department of Mathematics Department of Computer Science
University of California Stanford University
at Los Angeles Stanford, CA 94305-9020
Los Angeles, CA 90095-1555 USA
USA fedkiw@cs.stanford.edu
sjo@math.ucla.edu
Editors:
S.S. Antman J.E. Marsden L. Sirovich
Department of Mathematics Control and Dynamical Division of Applied
and Systems, 107-81 Mathematics
Institute for Physical Science California Institute of Brown University
and Technology Technology Providence, RI 02912
University of Maryland Pasadena, CA 91125 USA
College Park, MD 20742-4015 USA chico@camelot.mssm.edu
USA marsden@cds.caltech.edu
ssa@math.umd.edu
Cover photos: Top left and right, hand and rat brain — Duc Nguyen and Hong-Kai
Zhao. Center campfire — Duc Nguyen and Nick Rasmussen and Industrial Light and
Magic. Lower left and center, water glasses — Steve Marschner and Doug Enright.
Mathematics Subject Classification (2000): 65Mxx, 65C20, 65D17, 65-02, 65V10, 73V
Library of Congress Cataloging-in-Publication Data
Osher, Stanley.
Level set methods and dynamic implicit surfaces / Stanley Osher, Ronald Fedkiw
p. cm. – (Applied mathematical sciences ; 153)
Includes bibliographical references and index.
ISBN 0-387-95482-1 (alk. paper)
1. Level set methods. 2. Implicit functions. I. Fedkiw, Ronald P., 1968– II. Title.
III. Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 153
QA1.A647 vol. 153
[QC173.4]
510s–dc21
[515’.8] 2002020939
ISBN 0-387-95482-1 Printed on acid-free paper.
c
2003 Springer-Verlag New York, Inc.
All rights reserved. This work may not be translated or copied in whole or in part without
the written permission of the publisher (Springer-Verlag New York, Inc., 175 Fifth Av-
enue, New York, NY 10010, 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 in the United States of America.
987654321 SPIN10874508
www.springer-ny.com
Springer-Verlag New York Berlin Heidelberg
A member of BertelsmannSpringer Science+Business Media GmbH
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