Alain Le Mehaute - Surface Fitting and Multiresolution Methods
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Refereed and edited papers on the most current developments in the theory and applications of curves and surfaces.
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Institut National des Sciences Appliques University of Toulouse Toulouse, France
Larry L. Schumaker
Department of Mathematics Vanderbilt University Nashville, Tennessee
(Volume II)
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 Surface fitting and mutiresolution methods, / 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 II." Includes bibliographical references. ISBN 0-8265-1294-1 (cloth: alk. paper) 1. Wavelets (Mathematics)Congresses. 2. Approximation 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) QA403.3.S87 1997 511'.4dc2197-9472 CIP
Manufactured in the United States of America
Page v
Contents
Preface
vii
Contributors
xiii
Fast Evaluation of Cardinal Radial Basis Interpolants
G. Allasia and P. Giolito
1
Scaled Pivoting and Error Bounds for Totally Positive Linear Systems
P. Alonso, M. Gasca and J. M. Pea
9
Reproducing Kernels of Vector-Valued Function Spaces
L. Amodei
17
Multivariate Mean Value Interpolation
A. Augel
27
The Error in Polynomial Tensor-Product, and in Chung-Yao, Interpolation
C. de Boor
35
A Study of Biorthogonal Sinusoidal Wavelets
C. K. Chui and X. Shi
51
Quasi-Interpolant Spline Functions in the Hilbert SpaceD-mL2(IR)
C. Conti
67
An Application of Multiwavelet Analysis to Signal Compression
M. Cotronei and L. Puccio
75
Biorthogonal Box Spline Wavelet Bases
S. Dahlke, K. Grchenig and V. Latour
83
Wavelets in Numerical Analysis and their Quantitative Properties
W. Dahmen, A. Kunoth and K. Urban
93
Solving Partial Differential Equations by Collocation with Radial Basis Functions
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