NDLI: Identifiability of motion parameters under perspective stereo vision

Content Provider	IEEE Xplore Digital Library
Author	Kano, H. Fujioka, H. Chen, X.
Copyright Year	2004
Description	Author affiliation: Dept. of Inf. Sci., Tokyo Denki Univ., Saitama, Japan (Kano, H.; Fujioka, H.)
Abstract	We consider a problem of recovering motion of object moving in space under perspective observation. It is assumed that the motion equation is described by a linear system with unknown constant motion parameters and that a single feature point on the object is perspectively observed by two cameras. Then we analyze the identifiability of motion parameters from the stereo image data observed over an interval of time. The identifiability problem is solved by employing theories on linear dynamical systems. It is shown that the parameters are identifiable generically. Moreover, the only cases where the parameters can not be determined uniquely imply very much restrictive motions, confined either in certain planes or lines, in which case any identification algorithms will fail. Moreover whenever the parameters can be determined uniquely, the parameters can be recovered from stereo image data over any time interval of arbitrary length. The problem is also analyzed in discrete-time settings, which can be used far the case of continuous-time motion with discrete-time observations.
Starting Page	3605
Ending Page	3610
File Size	188951
Page Count	6
File Format	PDF
ISBN	0780386825
ISSN	01912216
DOI	10.1109/CDC.2004.1429277
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-12-14
Publisher Place	Bahamas
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stereo vision Cameras Nonlinear equations Motion analysis Observability Linear systems Image motion analysis Image analysis Data engineering Machine vision
Content Type	Text
Resource Type	Article

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