Geometric Modeling with Splines: An Introduction

Geometric Modeling with Splines An Introduction

Elaine Cohen
University of Utah School of Computing
Richard F. Riesenfeld
University of Utah School of Computing
Gershon Elber
Technion Israel Institute of Technology
AK Peters
Natick, Massachusetts

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Copyright 2001 by A K Peters, Ltd.

All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any form, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without written permission from the copyright owner.

Library of Congress Cataloging-in-Publication Data

Cohen, Elaine, 1946    Geometric modeling with splines : an introduction/Elaine Cohen, Richard F.Riesenfeld, Gershon Elber.      p. cm.   Includes bibliographical references and index.

ISBN 1-56881-137-3

1. Curves on surfaces-Mathematical models. 2. Surfaces-Mathematical models. 3. Spline theory. 4. Computer-aided design. I. Riesenfeld, Richard F. II. Elber, Gershon, 1960-III. Title.

QA565 .C656 2001

516.3'52 dc21 2001032921

Printed in Canada

05 04 03 02 01 10 9 8 7 6 5 4 3 2 1

Dedicated

to Pierre B zier, Steven A. Coons, I. J. Schoenberg, and Ivan E. Sutherland, the giants on whose shoulders we stand. Their diverse, fundamental works and powerful visions provided the critical elements that have been forged into this increasingly important, multi-disciplinary field.

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