Abstract

We derive a new output-sensitive algorithm for hidden surface removal in a collection ofn triangles, viewed from a pointz such that they can be ordered in an acyclic fashion according to their nearness toz. Ifk is the combinatorial complexity of the outputvisibility map, then we obtain a sophisticated randomized algorithm that runs in (randomized) timeO(n4/3 log2.89n +k3/5n4/5 + δ for anyδ > 0. The method is based on a new technique for tracing the visible contours using ray shooting.

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