Geospatial Algebraic Computations Theory and Applications
Improved geospatial instrumentation and technology such as in laser scanning has now resulted in millions of data being collected, e.g., point clouds. It is in realization that such huge amount of data requires efficient and robust mathematical solutions
- PDF / 16,229,920 Bytes
- 548 Pages / 439.43 x 683.15 pts Page_size
- 79 Downloads / 217 Views
Geospatial Algebraic Computations Theory and Applications Third Edition
Geospatial Algebraic Computations
Joseph L. Awange • Béla Paláncz
Geospatial Algebraic Computations Theory and Applications Third Edition
123
Béla Paláncz Budapest University of Technology and Economics Budapest, Hungary
Joseph L. Awange Curtin University Perth, West Australia Australia
ISBN 978-3-319-25463-0 DOI 10.1007/978-3-319-25465-4
ISBN 978-3-319-25465-4 (eBook)
Library of Congress Control Number: 2015958020 Springer Cham Heidelberg New York Dordrecht London © Springer-Verlag Berlin Heidelberg 2016 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. Printed on acid-free paper Springer-Verlag GmbH (www.springer.com)
Berlin
Heidelberg
is
part
of
Springer
Science+Business
Media
Foreword
I compliment the authors in this book because it brings together mathematical methods for the solution of multivariable polynomial equations that hardly are covered side by side in any ordinary mathematical book: The book explains both algebraic (exact) methods and numerical (approximate) methods. It also points to the recent combination of algebraic and numerical methods (hybrid methods), which is currently one of the most promising directions in the area of computer mathematics. The reason why this book manages to bring the algebraic and the numerical aspect together is because it is strictly goal oriented toward the solution of fundamental problems in the area of geodesy and geoinformatics – e.g., the positioning problem – and the solution of application problems does not allow purism in methodology but, rather, has to embrace different approaches with different benefits in different circumstances. Personally, it is very fulfilling for me to see that my Groebner bases methodology, mainly by the work of the authors, finds now also useful applications in the area of geodesy and geoinformatics. Since the book compares, in the applications, Groebner bases and resultants as the two main algebraic approa
Data Loading...
