Math @ Duke

Publications [#235490] of Pankaj K. Agarwal
Papers Published
 Agarwal, PK; Brady, D; Matoušek, J, Segmenting object space by geometric reference structures,
ACM Transactions on Sensor Networks, vol. 2 no. 4
(2006),
pp. 455465, ISSN 15504859 [doi]
(last updated on 2018/12/10)
Abstract: A model for segmentation of an object space by an array of binary, radiationfield sensors and geometric reference structures is described. Given a family of binary, radiationfield sensors and a geometric reference structure, we refer to the set of sensor states induced by a source at point p as the signature of p. We study the segmentation of an object space into signature cells and prove near optimal bounds on the number of distinct signatures induced by a point source, as a function of sensor and reference structure complexity. We also show that almost any family of signatures can be implemented under this model. © 2006 ACM.


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