Alain Le Mehaute - Curves and Surfaces with Applications in CAGD (Curves & Surfaces)
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Curves and Surfaces with Applications in CAGD (Curves & Surfaces)
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Alain Le Mhaut University of Nantes Nantes, France
Christophe Rabut Institut National des Sciences Appliques University of Toulouse Toulouse, France
Larry L. Schumaker Department of Mathematics Vanderbilt University Nashville, Tennessee
(Volume I)
VANDERBILT UNIVERSITY PRESS Nashville & London
Page iv
Copyright 1997 by Vanderbilt University Press All Rights Reserved
No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher.
First Edition 1997
97 98 99 00 01 5 4 3 2 1
This publication is made from recycled paper and meets the minimum requirements of American National Standard for Information SciencesPermanence of Paper for Printed Library Materials.
Library of Congress Cataloging-in-Publication Data Curves and surfaces with applications in CAGD / edited by Alain Le Mhaut, Christophe Rabut, and Larry L. Schumaker. 1st ed. p. cm. Papers from the Third International Conference on Curves and Surfaces, held June 27-July 3, 1996, in Chamonix-Mont-Blanc, France. "Volume I." Includes bibliographical references. ISBN 0-8265-1293-3 (cloth: alk. paper) 1. Approximation theoryCongresses. 2. Spline theoryCongresses. 3. SurfacesComputer simulationCongresses. 4. CurvesComputer simula tionCongresses. I. Le Mhaut, Alain. II. Rabut, Christophe, 1951- . III. Schumaker, Larry L., 1939-. IV. International Conference on Curves and Surfaces (3rd: 1996: Chamonix-Mont-Blanc, France) QA221.C876 1997
511'.4dc2197-9342
CIP
Manufactured in the United States of America
Page v
Contents
Preface
ix
Contributors
x
Parallelization Strategies for the B-Spline Curve Interpolation Problem
M. D'Apuzzo and L. Maddalena
1
Connection-Matrix Splines by Divided Differences
R. H. Bartels and J. C. Beatty
9
Massic-Vector-Based Conics Modelling
J. P. Bcar and J. C. Fiorot
17
Globally G1 Free Form Surfaces Using Kirchhoff-Love Plate Energy Methods
M. Bercovier, O. Volpin and T. Matskewich
25
A New Approach to Tchebycheffian B-Splines
D. Bister and H. Prautzsch
35
Flaw Removal on Surfaces
J. Bousquet and M. Daniel
43
On Some Polynomial Curves Derived from Trigonometric
Kernels J. Cao, H. H. Gonska and D. P. Kacs
53
Spline Curves in Polar and Cartesian Coordinates
G. Casciola and S. Morigi
61
La Tolrance d'usinage chez Citron dans les annes (19)60
P. de Faget de Casteljau
69
Avoiding Local Minima for Deformable Curves in Image Analysis
L. D. Cohen
77
Variable Degree Polynomial Splines
P. Costantini
85
Approximation of Monotone Functions: A Counter Example
R. A. DeVore, D. Leviatan and I. A. Shevchuk
95
Uniform Point Distribution on a Circle
J-C. Fiorot and I. Cattiaux-Huillard
103
BR-form of an Entire Rational Curve with a Preassigned Point
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