Title
2D shape tracking using algebraic curve spaces
Abstract
Tracking free form objects by fitting algebraic curve models to their boundaries in real-time is not feasible due to the computational burden of fitting algorithms. In this paper, we propose to do fitting once offline and calculate an algebraic curve space. Then, in every frame, algebraic curves from the search region of curve space are evaluated with the extracted edge points. The curve that has the smallest error according to some error metric is chosen to be the fit for that frame. The algorithm presented is for tracking a free-form shaped object, moving along an unknown trajectory, within the camera’s field of view (FOV). A discrete steady-state Kalman filter estimates the future position and orientation of the target object and provides the search area of curve space for the next frame. For initialization of the Kalman filter we used the “related points” extracted from the decomposition of algebraic curves, which represent the target’s boundary, and measured position of target’s centroid. Related points undergo the same motion with the curve, hence can be used to initialize the orientation of the target. Proposed algorithm is verified with experiments.
Year
DOI
Venue
2005
10.1007/11569596_72
ISCIS
Keywords
Field
DocType
discrete steady-state kalman filter,next frame,related point,algebraic curve,fitting algebraic curve model,fitting algorithm,target object,curve space,proposed algorithm,shape tracking,algebraic curve space,field of view,real time,steady state,kalman filter
Field of view,Topology,Discrete mathematics,Curve fitting,Edge detection,Computer science,Algebraic curve,Algorithm,Kalman filter,Initialization,Trajectory,Centroid
Conference
Volume
ISSN
ISBN
3733
0302-9743
3-540-29414-7
Citations 
PageRank 
References 
1
0.34
13
Authors
3
Name
Order
Citations
PageRank
Burak Yöndem110.68
Mustafa Ünel215420.71
Aytul Ercil317715.16