Optical flow estimation from noisy data using differential techniques

Author

Tsai, Chun-Jen ; Galatsanos, Nikolas P. ; Katsaggelos, Aggelos K.

Author_Institution

Electr. & Comput. Sci., Northwestern Univ., Evanston, IL, USA

Volume

6

fYear

1999

fDate

15-19 Mar 1999

Firstpage

3393

Abstract

Many optical flow estimation techniques are based on the differential optical flow equation. These algorithms involve solving over-determined systems of optical flow equations. Least squares (LS) estimation is usually used to solve these systems even though the underlying noise does not conform to the model implied by LS estimation. To ameliorate this problem, work has been done using the total least squares (TLS) method instead. However, the noise model presumed by TLS is again different from the noise present in the system of optical flow equations. A proper way to solve the system of optical flow equations is the constrained total least squares (CTLS) technique. The derivation and analysis of the CTLS technique for optical flow estimation is presented in this paper. It is shown that CTLS outperforms TLS and LS optical flow estimation

Keywords

constraint theory; differential equations; image sequences; least squares approximations; motion estimation; noise; constrained total least squares technique; differential optical flow equation; differential techniques; image sequence; noisy data; optical flow estimation; total least squares method; Differential equations; Image motion analysis; Image sequences; Least squares approximation; Least squares methods; Noise robustness; Nonlinear optics; Optical computing; Optical noise; Singular value decomposition;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on

Conference_Location

Phoenix, AZ

ISSN

1520-6149

Print_ISBN

0-7803-5041-3

Type

conf

DOI

10.1109/ICASSP.1999.757570

Filename

757570