Geometric Algebra Applications Vol. I Computer Vision, Graphics and
The goal of the Volume I Geometric Algebra for Computer Vision, Graphics and Neural Computing is to present a unified mathematical treatment of diverse problems in the general domain of artificial intelligence and associated fields using Cliffo
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Geometric Algebra Applications Vol. I Computer Vision, Graphics and Neurocomputing
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Geometric Algebra Applications Vol. I
Eduardo Bayro-Corrochano
Geometric Algebra Applications Vol. I Computer Vision, Graphics and Neurocomputing
123
Eduardo Bayro-Corrochano Electrical Engineering and Computer Science Department CINVESTAV, Campus Guadalajara Jalisco, Mexico
ISBN 978-3-319-74828-3 ISBN 978-3-319-74830-6 https://doi.org/10.1007/978-3-319-74830-6
(eBook)
Library of Congress Control Number: 2018937319 © Springer International Publishing AG, part of Springer Nature 2019 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. Printed on acid-free paper This Springer imprint is published by the registered company Springer International Publishing AG part of Springer Nature The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
My Three Dedication Strophes I. To the social fighters Nelson Mandela who achieved the elimination of the African apartheid and Evo Morales Aima who worked to eliminate the Andean Indian apartheid according the quechua saying Ama Sua, Ama Qhella, Ama Llulla, Ama Llunk’a. II. To all scientists who do not work for the development of weapons and technology destined to occupy and dominate countries; for all who work for education, health, preservation of the environment and social justice. III. To my beloved wife Joanna Jablonska and my first wife Mechthild Kaiser for their constant and patient support during all these years of my scientific work; and to my adored children: Esteban, Fabio, Vinzenz, Silvana, Nikolai, Claudio and Gladys.
Preface
This book presents the theory and applications of an advanced mathematical language called geometric algebra that greatly helps to express the ideas and concepts and to develop algorithms in the broad domain of robot physics. In the history of science, without essential mathematical
