Adapive polygonization of geometrically constrained surfaces

摘要

Many surfaces in geometric and solid modeling, including offsets and blends, are naturally defined from given surfaces subject to geometric constraints. Surfaces that are geometrically constrained can be uniformly defined as the projection of two-dimensional manifolds(2-surfaces)in n-dimensional space, where n > 3. This dif- inition can be used for given surface that are implicit or parametric. This paper pre- sents a robust, adaptive polygonization al- gorithm for evaluating and visualizing geo- metrically constrained surfaces.