Target enumeration via euler characteristic integrals

Yuliy Baryshnikov, Robert Ghrist

研究成果: ジャーナルへの寄稿学術誌査読

48 被引用数 (Scopus)

抄録

We solve the problem of counting the total number of observable targets (e.g., persons, vehicles, landmarks) in a region using local counts performed by a network of sensors, each of which measures the number of targets nearby but neither their identities nor any positional information. We formulate and solve several such problems based on the types of sensors and mobility of the targets. The main contribution of this paper is the adaptation of a topological sheaf integration theory - integration with respect to Euler characteristic - to yield complete solutions to these problems.

本文言語英語
ページ(範囲)825-844
ページ数20
ジャーナルSIAM Journal on Applied Mathematics
70
3
DOI
出版ステータス出版済み - 8月 14 2009

!!!All Science Journal Classification (ASJC) codes

  • 応用数学

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