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.
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