Computation of Curves and Surfaces / Edition 1

by Wolfgang Dahmen, Mariano Gasca, Charles A. Micchelli

Overview

Assembled here is a collection of articles presented at a NATO ADVANCED STU­ DY INSTITUTE held at Puerto de la Cruz, Tenerife, Spain during the period of July 10th to 21st, 1989. In addition to the editors of these proceedings Professor Larry L. Schumaker from Vanderbilt University, Nashville, Tennessee, served as a member of the international organizing committee. The contents of the contributions fall within the heading of COMPUTATION OF CURVES AND SURFACES and therefore address mathematical and computational issues pertaining to the dis­ play, modeling, interrogation and representation of complex geometrical objects in various scientific and technical environments. As is the intent of the NATO ASI program the meeting was two weeks in length and the body of the scientific activities was organized around prominent experts. Each of them presented lectures on his current research activity. We were fortunate to have sixteen distinguished invited speakers representing nine NATO countries: W. Bohm (Federal Republic of Germany), C. de Boor (USA), C.K. Chui (USA), W. Dahmen (Federal Republic of Germany), F. Fontanella (Italy), M. Gasca (Spain), R. Goldman (Canada), T.N.T. Goodman (UK), J.A. Gregory (UK), C. Hoffman (USA), J. Hoschek (Federal Republic of Germany), A. Le Mehaute (France), T. Lyche (Norway), C.A. Micchelli (USA), 1.1. Schumaker (USA), C. Traas (The Netherlands). The audience consisted of both young researchers as well as established scientists from twelve NATO countries and several non-NATO countries.

Product Details

ISBN-13:	9780792307242
Publisher:	Springer Netherlands
Publication date:	04/30/1990
Series:	Nato Science Series C: , #307
Edition description:	1990
Pages:	536
Product dimensions:	6.14(w) x 9.21(h) x 0.24(d)

Table of Contents

I. Discrete Methods for Curves and Surface Representation.- Stationary Subdivision, Fractals and Wavelets.- Recursive Triangles.- Exact and Approximate Conversion of Spline Curves and Spline Surfaces.- Discrete B-splines and Conversion Problems.- II. Interpolation and Data Fitting.- Vertex Splines and their Applications to Interpolation of Discrete Data.- Shape Preserving Interpolation.- Multivariate Polynomial Interpolation.- A Finite Element Approach to Surface Reconstruction.- Reconstructing 3D Objects from Cross-Sections.- III. Multivariate Splines and Applications.- Quasiinterpolants and Approximation Power of Multivariate Splines.- Polyhedral Splines.- Practice of Bivariate Quadratic Simplicial Splines.- IV. Algebraic and Differential Geometric Techniques.- Algebraic and Differential Geometric Methods in C.A.G.D..- Smooth Parametric Surfaces and n-Sided Patches.- Algebraic and Numerical Techniques for Offsets and Blends.- List of Attendants.- Contributed papers.- Poster Presentations.

Editorial Reviews

Computing and manipulating with curves and surfaces is an important issue in various areas of applied mathematics and technology, and draws upon a diversity of techniques and algorithms from different fields of mathematics and computer science. The common ground in these articles is an interest in mathematical ideas relating to algorithmic issues in the geometry of curves and surfaces. The contributions are grouped under four headings: discrete methods for curve and surface representation; interpolation and data fitting; multivariate splines and applications; and differential and algebraic geometric techniques. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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