A frequency domain performance analysis of Horn and Schunck´s optical flow algorithm for deformable motion

Author

Denney, Thomas S., Jr. ; Prince, Jerry L.

Author_Institution

Dept. of Electr. Eng., Auburn Univ., AL, USA

Volume

4

Issue

9

fYear

1995

fDate

9/1/1995 12:00:00 AM

Firstpage

1324

Lastpage

1327

Abstract

A frequency domain performance analysis of Horn and Schunck´s (1981) optical flow (HSOF) algorithm for estimation of deformable motion is presented. Noise sources in the algorithm are modeled using the discrete Fourier transform of the brightness pattern. This noise model along with the estimation error covariance function derived in previous work is used to derive an expression for the expected performance of the optical flow estimate that is valid for an arbitrary discrete brightness pattern. Simulation results are presented that demonstrate the validity of our methods and show that HSOF is more accurate that the optical flow estimate of Anandan for certain low-frequency patterns

Keywords

brightness; covariance analysis; discrete Fourier transforms; error analysis; frequency-domain analysis; image sequences; motion estimation; noise; deformable motion estimation; discrete Fourier transform; discrete brightness pattern; estimation error covariance function; frequency domain performance analysis; low-frequency patterns; noise model; noise sources; optical flow algorithm; simulation results; Brightness; Discrete Fourier transforms; Estimation error; Frequency domain analysis; Frequency estimation; Image motion analysis; Motion analysis; Motion estimation; Optical noise; Performance analysis;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/83.413178

Filename

413178