Convergence of object focused simultaneous estimation of optical flow and state dynamics

Bauer, Nicholas, Pathirana, Pubudu, Ekanayake, Samitha and Srinivasan, Mandyam (2014) Convergence of object focused simultaneous estimation of optical flow and state dynamics. International Journal of Advanced Robotic Systems, 11 158.1-158.11. doi:10.5772/58698


Author Bauer, Nicholas
Pathirana, Pubudu
Ekanayake, Samitha
Srinivasan, Mandyam
Title Convergence of object focused simultaneous estimation of optical flow and state dynamics
Journal name International Journal of Advanced Robotic Systems   Check publisher's open access policy
ISSN 1729-8806
1729-8814
Publication date 2014-10
Sub-type Article (original research)
DOI 10.5772/58698
Open Access Status DOI
Volume 11
Start page 158.1
End page 158.11
Total pages 11
Place of publication Rijeka, Croatia
Publisher InTech Europe
Collection year 2015
Language eng
Abstract The purpose of this study is to prove the convergence of the simultaneous estimation of the optical flow and object state (SEOS) method. The SEOS method utilizes dynamic object parameter information when calculating optical flow in tracking a moving object within a video stream. Optical flow estimation for the SEOS method requires the minimization of an error function containing the object's physical parameter data. When this function is discretized, the Euler-Lagrange equations form a system of linear equations. The system is arranged such that its property matrix is positive definite symmetric, proving the convergence of the Gauss-Seidel iterative methods. The system of linear equations produced by SEOS can alternatively be resolved by Jacobi iterative schemes. The positive definite symmetric property is not sufficient for Jacobi convergence. The convergence of SEOS for a block diagonal Jacobi is proved by analysing the Euclidean norm of the Jacobi matrix. In this paper, we also investigate the use of SEOS for tracking individual objects within a video sequence. The illustrations provided show the effectiveness of SEOS for localizing objects within a video sequence and generating optical flow results.
Keyword Optical Flow
Simultaneous Estimation
Tracking
Uncertain Systems
Sequence
Vision
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

 
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