Ellipse Fitting Based Approach for Extended Object Tracking
Author(s) -
Borui Li,
Chundi Mu,
Yongqiang Bai,
Jianquan Bi,
Lei Wang
Publication year - 2014
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2014/632815
Subject(s) - ellipse , ellipsoid , centroid , object (grammar) , extension (predicate logic) , tracking (education) , matrix (chemical analysis) , computer science , artificial intelligence , computer vision , basis (linear algebra) , mathematics , algorithm , geometry , geography , psychology , pedagogy , materials science , geodesy , composite material , programming language
With the increase of sensors’ resolution, traditional object tracking technology, which ignores object’s physical extension, gradually becomes inappropriate. Extended object tracking (EOT) technology is able to obtain more information about the object through jointly estimating both centroid’s dynamic state and physical extension of the object. Random matrix based approach is a promising method for EOT. It uses ellipse/ellipsoid to describe the physical extension of the object. In order to reduce the physical extension estimation error when object maneuvers, the relationship between ellipse/ellipsoid and symmetrical positive definite matrix is analyzed at first. On this basis, ellipse/ellipsoid fitting based approach (EFA) for EOT is proposed based on the measurement model and centroid’s dynamic model of random matrix based EOT approach. Simulation results show that EFA is effective. The physical extension estimation error of EFA is lower than those of random matrix based approaches when object maneuvers. Besides, the estimation error of centroid’s dynamic state of EFA is also lower
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