Abstract

This chapter discusses the methods for rendering shapes represented as generative models. Shapes of high-input dimension include curves, surfaces, and solids that change as a function of time or as a function of many parameters and must be projected, animated, or otherwise transformed into low-dimensional shapes before rendering. Superimposition renders the shape by rendering the entire collection of instances in a single image, whereas animation renders a sequence of instances, one at a time. The method of visualization appropriate for a shape depends on the interpretation of the shape. An algorithm for adaptive sampling of parametric shapes requires the evaluation of the shape at unstructured collection of points, and it is done by calling the shape's point evaluation method. GENMOD concentrates on interactive, z-buffer rendering and flexibly combines a small set of primitive visualization methods. It also provides visualization methods that use adaptive sampling with criteria selected by the user and expressed using the symbolic operators.

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