Abstract
In this paper we propose time-optimal convex hull algorithms for two classes of enhanced meshes. Our first algorithm computes the convex hull of an arbitrary set ofn points in the plane inO (logn) time on a mesh with multiple broadcasting of sizen×n. The second algorithm shows that the same problem can be solved inO (1) time on a reconfigurable mesh of sizen×n. Both algorithms achieve time lower bounds for their respective model of computation.
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This work was supported by NASA under grant NCCI-99.
Additional support by the National Science Foundation under grant CCR-8909996 is gratefully acknowledged.
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Olariu, S., Schwing, J.L. & Zhang, J. Optimal convex hull algorithms on enhanced meshes. BIT 33, 396–410 (1993). https://doi.org/10.1007/BF01990523
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DOI: https://doi.org/10.1007/BF01990523