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The Computer Journal 1976 19(4):336-338; doi:10.1093/comjnl/19.4.336
© 1976 by British Computer Society
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A method for displaying the intersection curve of two quadric surfaces

M. A. Sabin *

Dynamics and Mathematical Services, British Aircraft Corporation, Commercial Aircraft Division, Weybridge, UK

A representation of algebraic curves not widely known is shewn to be highly appropriate for calculating views of curves such as the intersections of general second order surfaces (quadrics), a problem approached by Luh and Krolak (1965), by Weiss (1966), and by Woon and Freeman (1971). By allowing the repetitive calculation to be performed in the picture plane it reduces the number of degrees of freedom involved from three to two. This representation gives an algorithm with rather different characteristics from the usual methods of drawing such curves, and these differences are discussed.

Received November 1973.

* Now at Computers and Automation Institute, Hungarian Academy of Sciences, Budapest, Hungary.

§ Dynamics and Mathematical Services, British Aircraft Corporation, Commercial Aircraft Division, Weybridge, Surrey, England


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