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Proceedings Paper

The Wave Equation And Optic Flow
Author(s): Michael Kass
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Paper Abstract

The standard optic-flow gradient constraint equation relates temporal and spatial derivatives of the image to the image-plane velocities. Differentiating this equation with respect to time produces a non-standard wave equation. Since the resulting equation involves second spatial and temporal derivatives of the intensity, it is probably too noise sensitive for use in computing the velocity field. However, it is likely to be of use in checking the results of a velocity computation for consistency. Most optic-flow computations assume that the intensity of a scene point remains unchanged as it moves around. The wave equation constraint can be used to check this assumption. If the equation is strongly violated, then it is a signal that the velocity field should not be believed, probably because the illumination is changing.

Paper Details

Date Published: 21 August 1987
PDF: 4 pages
Proc. SPIE 0754, Optical and Digital Pattern Recognition, (21 August 1987); doi: 10.1117/12.939970
Show Author Affiliations
Michael Kass, Schlumberger Palo Alto Research (United States)

Published in SPIE Proceedings Vol. 0754:
Optical and Digital Pattern Recognition
Hua-Kuang Liu; Paul S. Schenker, Editor(s)

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