Topology-based Methods in Visualization
Enabling insight into large and complex datasets is a prevalent theme in visualization research for which different approaches are pursued. Topology-based methods are built on the idea of abstracting characteristic structures such as the topological skele
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Helwig Hauser Hans Hagen Holger Theisel Editors
Mathematics
V
Mathematics and Visualization Series Editors Gerald Farin Hans-Christian Hege David Hoffman Christopher R. Johnson Konrad Polthier Martin Rumpf
Helwig Hauser Hans Hagen Holger Theisel Editors
Topology-based Methods in Visualization With 157 Figures, 54 in Color
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Helwig Hauser
Hans Hagen
University of Bergen Department of Informatics Postbok 7803 N-5020 Bergen, Norway E-mail: [email protected]
Fachbereich Informatik Technische Universität Kaiserslautern Postfach 3049 67653 Kaiserslautern, Germany E-mail: [email protected]
Holger Theisel Universität Bielefeld Technische Fakultät Postfach 100131 33501 Bielefeld, Germany E-mail: [email protected]
Library of Congress Control Number: 2007926110 Mathematics Subject Classification: 34-06, 34C05, 34C07, 34C23, 34C30, 34C37, 34C60, 37M99, 54H20, 65-06, 65D05, 65D10, 65D18, 68U20 ISBN-13 978-3-540-70822-3 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com c Springer-Verlag Berlin Heidelberg 2007 The use of general descriptive names, registered names, trademarks, 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. A EX macro package Typesetting by the authors and SPi using a Springer LT
Cover design: design & production GmbH, Heidelberg Printed on acid-free paper
SPIN: 12018635
46/SPi/3100
543210
Preface
Enabling insight into large and complex datasets is a prevalent theme in current visualization research for which different approaches are pursued. Topology-based methods are built on the idea of abstracting characteristic structures such as the topological skeleton from the data and to construct the visualization accordingly. Even though the roots of related research date back to the late 1980’s and thereafter, there are currently new demands for and renewed interest in topology-based visualization solutions. Practitioners see the potential for highly efficient and meaningful visualization techniques which communicate a lot more (information, sematics) than just data. To enable additional stimulation to the again sprouting field of research on topology-based methods in visualization, we initiated an international workshop of about forty researchers from about a dozen European a
