Abstract
This chapter presents some shape specification examples. The GENMOD language is based on the C programming language, with some operators overloaded to have a nonstandard meaning and some new operators added. Intersections between regions with boundary as a piecewise series of line segments can be computed by solving for intersections between line segments. Profile products have the undesirable property that points on the cross section move outward at a rate proportional to their original distance from the origin and along rays from the origin. Affine transformations combine sweep techniques, including scaling, translating, twisting, and skewing and can be used to move a cross section. In Hermite interpolation, the ending tangent vectors and the ending positions are specified. A curve offset is viewed as the envelope of centers of circles of a given radius tangent to the curve. The parameterized cross sections are a useful way of conceptualizing surface shape that takes advantage of the full power of the generative modeling approach.
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