Analytic Combinatorics for Multiple Object Tracking

Name: Analytic Combinatorics for Multiple Object Tracking
Brand: Springer Nature Switzerland AG
SKU: 9783030611934
Price: 718.66 RON
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Autor: Murat Efe, Robert Blair Angle

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Editura: Springer Nature Switzerland AG

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The book shows that the analytic combinatorics (AC) method encodes the combinatorial problems of mul...

Informații despre carte

Autor

Murat Efe, Robert Blair Angle

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2021

Pagini

221

EAN

9783030611934

ISBN

3030611930

Enbook ID

38380859

Editura

Springer Nature Switzerland AG

Greutate

373

Dimensiuni

155 x 235 x 14

Descriere completă

The book shows that the analytic combinatorics (AC) method encodes the combinatorial problems of multiple object tracking-without information loss-into the derivatives of a generating function (GF). The book lays out an easy-to-follow path from theory to practice and includes salient AC application examples. Since GFs are not widely utilized amongst the tracking community, the book takes the reader from the basics of the subject to applications of theory starting from the simplest problem of single object tracking, and advancing chapter by chapter to more challenging multi-object tracking problems. Many established tracking filters (e.g., Bayes-Markov, PDA, JPDA, IPDA, JIPDA, CPHD, PHD, multi-Bernoulli, MBM, LMBM, and MHT) are derived in this manner with simplicity, economy, and considerable clarity. The AC method gives significant and fresh insights into the modeling assumptions of these filters and, thereby, also shows the potential utility of various approximation methods that are well established techniques in applied mathematics and physics, but are new to tracking. These unexplored possibilities are reviewed in the final chapter of the book.

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