An interval refinement technique for surface intersection

This paper describes a technique for computing the intersections of two parametric surfaces based on interval arithmetic. The algorithm, which can be stopped and restarted at any point, uses search techniques to refine its description of the intersections progressively. Interval arithmetic provides guaranteed points on the intersection curves to within a user-specified tolerance. These points are connected into polygons and used to triangulate the trimmed surfaces. We provide details of an implementation and give examples of the algorithm's use.

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