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SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS

Steven A. Coons

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Abstract

The design of airplanes, ships, automobiles, and so-called 'sculptured parts' involves the design, delineation, and mathematical description of bounding surfaces. A method is described which makes possible the description of free-form doubly curved surfaces of a very general kind. An extension of these ideas to hyper-surfaces in higher dimensional spaces is also indicated. This surface technique has been specifically devised for use in the Computer-Aided Design Project at M.I.T., and has already been successfully implemented here and elsewhere. (Author)

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The design of airplanes, ships, automobiles, and so-called 'sculptured parts' involves the design, delineation, and mathematical description of bounding surfaces. A method is described which makes possible the description of free-form doubly curved surfaces of a very general kind. An extension of these ideas to hyper-surfaces in higher dimensional spaces is also indicated. This surface technique has been specifically devised for use in the Computer-Aided Design Project at M.I.T., and has already been successfully implemented here and elsewhere. (Author)

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Available abstract

The design of airplanes, ships, automobiles, and so-called 'sculptured parts' involves the design, delineation, and mathematical description of bounding surfaces. A method is described which makes possible the description of free-form doubly curved surfaces of a very general kind. An extension of these ideas to hyper-surfaces in higher dimensional spaces is also indicated. This surface technique has been specifically devised for use in the Computer-Aided Design Project at M.I.T., and has already been successfully implemented here and elsewhere. (Author)

Key concepts: Space (punctuation), Engineering drawing, Computer science, Computer graphics (images), Engineering, Operating system

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