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1 PRISME - Geometry, Algorithms and Robotics CRISAM - Inria Sophia Antipolis - Méditerranée 2 Brown University - Department of Computer Science

Abstract : Given is a set \s\ of $n$ points, each colored with one of $k \geq 3$ colours.
We say that a triangle defined by three points of \s\ is 3-colored if its vertices have distinct colours.
We prove in this paper that the problem of constructing the boundary of the union \ts\ of all such 3-colored triangles can be done in optimal $On \log n$ time.

Author: Jean-Daniel Boissonnat - Olivier Devillers - Franco Preparata -



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