Topological Methods in Data Analysis and Visualization IV Theory, Al
This book presents contributions on topics ranging from novel applications of topological analysis for particular problems, through studies of the effectiveness of modern topological methods, algorithmic improvements on existing methods, and parallel comp
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Hamish Carr · Christoph Garth Tino Weinkauf Editors
Topological Methods in Data Analysis and Visualization IV Theory, Algorithms, and Applications
Mathematics and Visualization
Series Editors Hans-Christian Hege David Hoffman Christopher R. Johnson Konrad Polthier Martin Rumpf
More information about this series at http://www.springer.com/series/4562
Hamish Carr • Christoph Garth • Tino Weinkauf Editors
Topological Methods in Data Analysis and Visualization IV Theory, Algorithms, and Applications
123
Editors Hamish Carr University of Leeds Leeds, United Kingdom
Christoph Garth Department of Computer Science Technical University of Kaiserslautern Kaiserslautern, Germany
Tino Weinkauf School of Computer Science and Communication KTH Royal Institute of Technology Stockholm, Sweden
ISSN 1612-3786 Mathematics and Visualization ISBN 978-3-319-44682-0 DOI 10.1007/978-3-319-44684-4
ISSN 2197-666X (electronic) ISBN 978-3-319-44684-4 (eBook)
Library of Congress Control Number: 2011944972 Mathematics Subject Classification (2010): 00A66, 57-04, 54-04 © Springer International Publishing AG 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Cover illustration from Morse-Smale Analysis of Ion Diffusion in Ab Initio Battery Materials Simulations by A. Gyulassy, A. Knoll, K. Chun Lau, B. Wang, P.-T. Bremer, M. E. Papka, L. A. Curtiss and V. Pascucci. By courtesy of the authors. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Since Helman and Hesselink’s landmark paper on vector topology in 1989, topological analysis has formed an increasingly important part of scientific visualization. This is not only because it opens up novel forms of understanding but also because as our da
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