Random sets in data fusion problems
Shozo Mori · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1997
A general theory of multi-object state-estimation problems, also known as multi-target tracking problems, is presented, using explicit random-set formalism. Probability density functions of random sets, as well as Choquet's capacity functionals, are used to represent random sets, in pursuit of the possibility of such a theory becoming a theoretical foundation of data fusion theory. The theoretical and algorithmic developments over the past three decades in this area are also re-examined in the light of this new formalism, as well as the recent development of correlation-free algorithms that utilize random-set formalism explicitly.