Mathematics for Computer Graphics.pdf

M ATHEMATICS FOR C OMPUTER G RAPHICS

John Vince

Mathematics for

Computer Graphics

Second Edition

With 175 Illustrations

John Vince, MTech, PhD, DSc, FBCS, CEng

Media School,

University of Bournemouth, Talbot Campus, Fern Barrow, Poole BH12 5BB, UK

Library of Congress Control Number: 2005928172

ISBN-10: 1-84628-034-6

ISBN-13: 978-1-84628-034-4

ISBN 1-85233-380-4 1st edition

Printed on acid-free paper.

Springer-Verlag London Limited 2006

Apart from any fair dealing for the purposes of research or private study, or criticism or review, as per-

mitted 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 publish-

ers, or in the case of reprographic reproduction in accordance with the terms of licences issued by the

the publishers.

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 infor-

mation contained in this book and cannot accept any legal repsonsibility or liability for any errors or

omissions that may be made.

Printed in the United States of America.

(SPI/MVY)

987654321

Springer Science+Business Media

springeronline.com

Dedication

I dedicate this book to my wife Annie, who has had to tolerate a year of me

reading math books in bed, on planes, boats, trains, in hotels, in the garden,

in the bath, on holiday, and probably in my sleep!