Non-interactive geometric probing: Reconstructing non-convex polygons
نویسندگان
چکیده
منابع مشابه
Convex Polygons in Geometric Triangulations
We show that the maximum number of convex polygons in a triangulation of n points in the plane is O(1.5029). This improves an earlier bound of O(1.6181) established by van Kreveld, Löffler, and Pach (2012) and almost matches the current best lower bound of Ω(1.5028) due to the same authors. Given a planar straight-line graph G with n vertices, we also show how to compute efficiently the number ...
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Minimizing the number of probes is one of the main challenges in reconstructing geometric objects with probing devices. In this paper, we investigate the problem of using an ω-wedge probing tool to determine the exact shape and orientation of a convex polygon. An ω-wedge consists of two rays emanating from a point called the apex of the wedge and the two rays forming an angle ω. A valid ω-probe...
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Geometric probing considers problems of determining a geometric structure or some aspect of that structure from the results of a mathematical or physical measuring device, a probe. A variety of problems from robotics, medical instrumentation, mathematical optimization, integral and computational geometry, graph theory and other areas fit into this paradigm. This paper surveys the field of geome...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 1999
ISSN: 0925-7721
DOI: 10.1016/s0925-7721(99)00039-5