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多目标跟踪的“统计学 103”。

"Statistics 103" for Multitarget Tracking.

机构信息

Random Sets LLC, Eagan, MN 55122, USA.

出版信息

Sensors (Basel). 2019 Jan 8;19(1):202. doi: 10.3390/s19010202.

DOI:10.3390/s19010202
PMID:30626012
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6338941/
Abstract

The finite-set statistics (FISST) foundational approach to multitarget tracking and information fusion was introduced in the mid-1990s and extended in 2001. FISST was devised to be as "engineering-friendly" as possible by avoiding avoidable mathematical abstraction and complexity-and, especially, by avoiding measure theory and measure-theoretic point process (p.p.) theory. Recently, however, an allegedly more general theoretical foundation for multitarget tracking has been proposed. In it, the constituent components of FISST have been systematically replaced by mathematically more complicated concepts-and, especially, by the very measure theory and measure-theoretic p.p.'s that FISST eschews. It is shown that this proposed alternative is actually a mathematical paraphrase of part of FISST that does not correctly address the technical idiosyncrasies of the multitarget tracking application.

摘要

有限集统计(FISST)的多目标跟踪和信息融合基础方法于 20 世纪 90 年代中期提出,并于 2001 年得到扩展。FISST 的设计尽可能地“工程友好”,避免了不必要的数学抽象和复杂性,尤其是避免了测度理论和测度理论点过程(p.p.)理论。然而,最近,据称已经提出了一种更通用的多目标跟踪理论基础。在其中,FISST 的组成部分已被数学上更复杂的概念系统地取代,尤其是被 FISST 回避的测度理论和测度理论 p.p.。结果表明,这种替代方法实际上只是 FISST 的一部分数学表述,并没有正确解决多目标跟踪应用的技术特殊性。