東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Analytic combinatorics for multiple ...

Streit, Roy.

Linked to FindBook

Google Book

Amazon

博客來

Analytic combinatorics for multiple object tracking

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analytic combinatorics for multiple object tracking/ by Roy Streit, Robert Blair Angle, Murat Efe.
Author:	Streit, Roy.
other author:	Angle, Robert Blair.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xvi, 221 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Extended object tracking -- Multiple sensors -- Other high computational complexity tracking problems -- Multiframe assignment and combinatorial optimization -- Saddle Point Method -- Multicomplex Algebra -- Automatic Differentiation -- Conclusion.
Contained By:	Springer Nature eBook
Subject:	Signal, Image and Speech Processing. -
Online resource:	https://doi.org/10.1007/978-3-030-61191-0
ISBN:	9783030611910

Analytic combinatorics for multiple object tracking
Streit, Roy.

Analytic combinatorics for multiple object tracking[electronic resource] /by Roy Streit, Robert Blair Angle, Murat Efe. - Cham :Springer International Publishing :2021. - xvi, 221 p. :ill., digital ;24 cm.

Introduction -- Extended object tracking -- Multiple sensors -- Other high computational complexity tracking problems -- Multiframe assignment and combinatorial optimization -- Saddle Point Method -- Multicomplex Algebra -- Automatic Differentiation -- Conclusion.

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.

ISBN: 9783030611910

Standard No.: 10.1007/978-3-030-61191-0doiSubjects--Topical Terms:

891073
Signal, Image and Speech Processing.

LC Class. No.: QA164 / .S77 2021

Dewey Class. No.: 511.6

Analytic combinatorics for multiple object tracking
LDR:02449nmm a2200337 a 4500 001 2236405
003 DE-He213
005 20201126182535.0
006 m d
007 cr nn 008maaau
008 211111s2021 sz s 0 eng d
020 $a 9783030611910 $q (electronic bk.)
020 $a 9783030611903 $q (paper)
024 7 $a 10.1007/978-3-030-61191-0 $2 doi
035 $a 978-3-030-61191-0
040 $a GP $c GP $e rda
041 0 $a eng
050 4 $a QA164 $b .S77 2021
072 7 $a TTBM $2 bicssc
072 7 $a TEC008000 $2 bisacsh
072 7 $a TTBM $2 thema
072 7 $a UYS $2 thema
082 0 4 $a 511.6 $2 23
090 $a QA164 $b .S915 2021
100 1 $a Streit, Roy. $3 3487774
245 1 0 $a Analytic combinatorics for multiple object tracking $h [electronic resource] / $c by Roy Streit, Robert Blair Angle, Murat Efe.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xvi, 221 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- Extended object tracking -- Multiple sensors -- Other high computational complexity tracking problems -- Multiframe assignment and combinatorial optimization -- Saddle Point Method -- Multicomplex Algebra -- Automatic Differentiation -- Conclusion.
520 $a 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.
650 1 4 $a Signal, Image and Speech Processing. $3 891073
650 2 4 $a Probability and Statistics in Computer Science. $3 891072
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
650 0 $a Combinatorial analysis. $3 523878
700 1 $a Angle, Robert Blair. $3 3487775
700 1 $a Efe, Murat. $3 3487776
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-61191-0
950 $a Engineering (SpringerNature-11647)