Title
Brief A set theoretic approach for time-to-contact estimation in dynamic vision
Abstract
This paper deals with the estimation of the time-to-contact in dynamic vision. It is well known that differential invariants of the image velocity field can be used to characterize the shape changes of objects in the scene, due to relative motion between the observer and the scene. Under the hypothesis of constant velocity along the optical axis, the time-to-contact turns out to be a function of the area enclosed by the object contour and its time derivative. In the paper, a novel approach based on set membership estimation theory is proposed to estimate the variables involved in the computation of the time-to-contact. Both errors in the motion model and image measurement noise are described as unknown-but-bounded disturbances, without requiring any statistical assumption. The proposed technique allows for the computation of guaranteed bounds on the time-to-contact estimates in finite time, a crucial issue in all problems where a robust evaluation of the time-to-contact is in order.
Year
DOI
Venue
2003
10.1016/S0005-1098(03)00062-1
Automatica (Journal of IFAC)
Keywords
Field
DocType
time-to-contact estimate,constant velocity,image velocity field,paper deal,set membership estimation theory,theoretic approach,brief a,relative motion,finite time,time-to-contact estimation,motion model,proposed technique,image measurement noise,dynamic vision,estimation,estimation theory
Control theory,Optical axis,Time derivative,Artificial intelligence,Estimation theory,Computation,Computer vision,Mathematical optimization,Vector field,Invariant (mathematics),Observer (quantum physics),Statistical assumption,Mathematics
Journal
Volume
Issue
ISSN
39
6
0005-1098
Citations 
PageRank 
References 
1
0.35
9
Authors
4
Name
Order
Citations
PageRank
M. Di Marco1945.89
Andrea Garulli288386.33
Domenico Prattichizzo32079177.15
Antonio Vicino4848134.14