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Anyone who has written programs for computer graphics,CAD,scientific visualization,computer games,virtual reality or computer animation will know that mathematics is extremely useful. Topics such as transformations, matrix algebra, vector algebra, curves and surfaces are at the heart ofany application program in these areas,but the one topic that is really central is geometry, which is the theme of this book.
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Geometry for Computer Graphics
00 29/09/04 15:36 Page i
John Vince
Geometry for
Computer Graphics
Formulae,Examples and Proofs
123
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John Vince MTech, PhD, CEng, FBCS
National Centre for Computer Animation
Bournemouth University, UK
British Library Cataloguing in Publication Data
Vince, John (John A.)
Geometry for computer graphics : formulae, examples and proofs
1. Computer graphics 2. Geometry – Data processing
I. Title
516′.0028566
ISBN 1852338342
Library of Congress Cataloging-in-Publication Data
A catalog record for this book is available from the Library of Congress
Apart from any fair dealing for the purposes of research or private study,or criticism or review,as permitted under the
Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form
or by any means,with the prior permission in writing of the publishers, or in the case of reprographic reproduction in
accordance with the terms of licences issued by the Copyright Licensing Agency. Enquiries concerning reproduction
outside those terms should be sent to the publishers.
ISBN 1-85233-834-2 Springer-Verlag London Berlin Heidelberg
Springer ScienceBusiness Media
springeronline.com
© Springer-Verlag London Limited 2005
Printed in the United States of America
The use of 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 laws and regulations and therefore free for general use.
The publisher makes no representation,express or implied,with regard to the accuracy of the information contained in
this book and cannot accept any legal responsibility or liability for any errors or omissions that may be made.
Typesetting: Gray Publishing, Tunbridge Wells, UK
34/3830-543210 Printed on acid-free paper SPIN 10981696
00 29/09/04 15:36 Page iv
Dedication
This book is dedicated to my family, Annie, Samantha,Anthony, Megan, and Monty, who have
not seen much of me over the past two years.
00 29/09/04 15:36 Page v
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