A Matrix Information-Geometric Method for Change-Point Detection of Rigid Body Motion

• Published in: Entropy (Basel, Switzerland) Vol. 21; no. 5; p. 531
• Main Authors: Duan, Xiaomin, Sun, Huafei, Zhao, Xinyu
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 25.05.2019; MDPI
• Subjects: Algebra; Algorithms; change-point detection; Euclidean geometry; Geometry; Iterative methods; Lie algebra; Lie groups; matrix information geometry; Motion perception; Neighborhoods; Rigid structures; Rigid-body dynamics; special Euclidean group; Systems stability; Time series

A matrix information-geometric method was developed to detect the change-points of rigid body motions. Note that the set of all rigid body motions is the special Euclidean group S E ( 3 ) , so the Riemannian mean based on the Lie group structures of S E ( 3 ) reflects the characteristics of change-p...