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M2AN. M

ATHEMATICAL MODELLING AND NUMERICAL ANALYSIS

- M

ODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE

R OBERT B ARNHILL

Topics in computer aided geometric design

M2AN. Mathematical modelling and numerical analysis - Modéli- sation mathématique et analyse numérique, tome 26, n

o1 (1992), p. V

<http://www.numdam.org/item?id=M2AN_1992__26_1_5_0>

© AFCET, 1992, tous droits réservés.

L’accès aux archives de la revue « M2AN. Mathematical modelling and nume- rical analysis - Modélisation mathématique et analyse numérique » implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/

conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fi- chier doit contenir la présente mention de copyright.

Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques

http://www.numdam.org/

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TOPICS IN COMPUTER AIDED GEOMETRIC DESIGN

D

uring a beautiful Sicilian week in May (12-19), 1990, a working conference was held on the subject, « Topics in Computer Aided Geometrie Design », at the Ettore Majorana International Centre for Scientific Culture, Erice, Sicily The mathematical ambience was enhan- eed with the héritage of Pythagoras as the « tyrant of Selinunte », a nearby ancient city The conference was unique in lts pursuit of state-of-the-art science in a médiéval environment The conference was led by Drs M Bercovier and V Capasso with assistance trom Drs R Barnhill, W Boehm and J Hoschek

The purpose of the conference was « to make an authoritative review of CAGD to date, as well as to develop new topics » The papers in thts Volume give a permanent record of the successful completion of this task Difficult curve design topics, such as achieving appropnate smoothness and fairness are represented Surface design, both three-dimensional and for « surfaces defined on surfaces », is becoming increasingly important in CAGD Vanational methods, the basis for splines as well as for, say, the finite element methods continues to be fruitful

At a lower level of detail, this Volume includes the following topics surface design of the Clough-Tocher type (Farm and Kashyap), two papers related to the emerging subject of « surfaces on surfaces » for sphères (Hoschek and Seemann, Prautzsch), « geometry processing » including intersections, contouring, and intégration (Barnhill), trivanate contouring (Hamann), quadric surfaces (Boehm and Hansford), curvature analysis for higher-dimensional surfaces (Chuang and Hoffmann), vana- tional methods for curves and surfaces (Bercovter and Jacobi, Nowacki, Kakhs and Weber, Micchelli), and smoothness of curves and surfaces (Dyn, Levin and Yad-Shalom, Seidel)

Computer Aided Geometrie Design is a subject with the dual charm of scientific interest and practical application This Volume contains several new thèmes, for example, higher dimensional surfaces, which are hkely to become of practical use in the near future Thus this Volume can be read both for the subject matter's intrinsic interest as wel! as possible future utihty

Robert Barnhill

Proceedmgs of a conference held at Ence, Sicily, May 12-19, 1990 Edited by R Barnhill, M Bercovier, W Boehm, V Capasso, J Hoschek and R Temam

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