The Mathematics of surfaces III : based on the proceedings of a conference organized by the Institute of Mathematics and Its Applications on the Mathematics of Surfaces held at Keble College, Oxford in September 1988
Author(s)
Bibliographic Information
The Mathematics of surfaces III : based on the proceedings of a conference organized by the Institute of Mathematics and Its Applications on the Mathematics of Surfaces held at Keble College, Oxford in September 1988
（The Institute of Mathematics and its Applications conference series, new ser.,
Clarendon , Oxford University Press, 1989
- Other Title
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Mathematics of surfaces 3
Mathematics of surfaces three
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Note
The third IMA Conference on the Mathematics of Surfaces was held on 19-21, Sept. 1988 in Oxford
Description and Table of Contents
Description
Computer-aided geometric design is an increasingly important component of industrial research and manufacturing. It involves topics as wide-ranging as the description and approximation of surfaces, the design of new surfaces and the fitting of surfaces to data. In consequence, it involves the application of several branches of mathematics including differential and projective geometry, pattern recognition, and numerical analysis. The papers in this volume provide an up-to-date survey of many of the applications of mathematics to the theory of surfaces and computer-aided design. Particular subjects covered include symbolic computation in geometric modelling, numerical stability in geometric algorithms and grid generation. The papers comprise the proceedings of a conference held at Keble College, Oxford in September 1988.
Table of Contents
- Part 1 Invited papers: geometric modelling with algebraic surfaces, Chanderjit L.Bajaj
- geometry processing - numerical multiple integration, Robert E.Barnhill and Stephen S.Watson
- visual reconstruction by linear filter, Andrew Blake
- numerical stability in geometric algorithms and representations, Rida T.Farouki
- radial basis functions - a survey and new results, Ian R.H.Jackson
- the circles of a surface, Ian R.Porteous
- circles and cyclides - applying the absolute, Malcolm Sabin
- efficient algorithms for the acceleration of geometric modelling, H.P.Seidel and W.Strafer
- parametric blending in a boundary representation solid modeller, T.Varady et al
- the use of symbolic computation in geometric modelling, Andrew F.Wallis et al
- Philip S.Milne and Julian Padget
- computational geometry research in China - a survey, C.Y.Wang. Part 2 Submitted papers: clipping of b-spline surface patches at surface curves, I.Applegarth et al
- A C1 monotonicity preserving surface interpolation scheme, S.Asaturyan and K.Unsworth
- a diffusion smoothing approach to sculptured surfaces, Li-Dong Cai
- modelling non-rectangular patches using box splines, Morten Dahlen and Vibeke Skytt
- integrating sculptured surface design with the "panel method" for flow visualisation, Timothy David et al
- grid generation on the surface of aircraft configurations (posters), J.M.Georgala
- parametric curve and surface approximation, R.J.Goult
- subdivision of n-sided regions into four-sided patches, T.Hermann and G.Renner
- spinor parameterizations of minimal surfaces, L.P.Hughston and W.T.Shaw
- the approximation of hydrographic survey data using tensor-product b-spline surfaces, B.L.MacCarthy and D.C.Handcomb
- swept volumes in sold modellers, R.R.Martin and P.C.Stephenson
- applications of cyclide surfaces in geometric modelling, M.J.Pratt
- fast quasi-interpolation of surfaces with generalised b-splines on regular nets, Christophe Rabut
- sculptured surface shapes using inner and outer bounded models, Anthony Saia et al
- analysis and presentation of human back shape in scoliosis, A.R.Turner-Smith and Rosalind J.Jefferson.
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