Observability of perspective dynamical systems

Author

Inaba, Hirosh ; Yoshida, Akikfumi ; Abdursul, Rixat ; Ghosh, Bijoy K.

Author_Institution

Dept. of Inf. Sci., Tokyo Denki Univ., Japan

Volume

5

fYear

2000

fDate

2000

Firstpage

5157

Abstract

Perspective dynamical systems arise in machine vision, and the essential problem in such a system is how to determine any unknown states and/or any unknown parameters from its perspective observation. Considering simple perspective dynamical systems, we study the state observability and the parameter identifiability of such systems, using the differential geometric method, that is, the observability rank condition, which has been developed for general nonlinear systems, and present various necessary and/or sufficient conditions for observability and/or identifiability

Keywords

computer vision; differential geometry; identification; observability; differential geometric method; general nonlinear systems; machine vision; necessary and sufficient conditions; observability rank condition; parameter identifiability; perspective dynamical systems; perspective observation; state observability; unknown parameters; unknown states; Image motion analysis; Linear systems; Machine vision; Nonlinear optics; Nonlinear systems; Observability; Shape; Sufficient conditions; System testing; Terminology;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2001.914771

Filename

914771