A class of surfaces for computer display

Authors:
Theodore M. P. Lee
Affiliations:
Harvard University, Cambridge, Massachusetts
Venue:
AFIPS '69 (Spring) Proceedings of the May 14-16, 1969, spring joint computer conference
Year:
1969

Citing 4
Cited 1

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Abstract

This paper describes the mathematical formulation of a class of three-dimensional surfaces parametrically represented for efficient computer display. The degrees of freedom in the representation are such as to provide a rich variety of surfaces with convenient parameters for manipulation and constraint satisfaction. Historically this work began as an investigation of the properties of rational parametric cubics, a class of curves well-suited to the Harvard three-dimensional display. The desire to represent curvilinear surfaces in terms of these curves and an introduction to the Coons' surface formulation were sufficient to suggest the approach discussed here.