METHOD OF GENERATING SURFACES AS A COMPOSITE OF CYCLIDE PATCHES.

Abstract

In this paper the author is more interested in generating surfaces by controlling the variation of the tangent plane over the surface than in fitting data points or boundary curves. Toward that end the notion of the spherical representation is introduced. The spherical representation associates to each point of a surface a point of the sphere where the tangent planes of the two surfaces are parallel. The user specifies for each patch the area of the sphere that will be covered by its spherical representation as a means of defining the patch.