Probing Convex Polygons with Half-planes1
نویسنده
چکیده
A half-plane probe through a polygon measures the area of intersection between a half-plane and the polygon. We dev elop techniques based on xray probing to determine convex n-gons in 7n + 7 half-plane probes. We also show n + 1 half-plane probes are sufficient to verify a specified convex polygon and prove linear lower bounds for determination and verification.
منابع مشابه
Probing Polygons Minimally Is Hard
Belleville, P. and T.C. Shermer, Probing polygons minimally is hard, Computational Geometry: Theory and Applications 2 (1993) 255-265. Let r be a set of convex unimodal polygons in fixed position and orientation. We prove that the problem of determining whether k finger probes are sufficient to distinguish among the polygons in f is NP-complete for two types of finger probes. This implies that ...
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