Relative Depth And Local Surface Orientation From Image Motions

K. Prazdny

doi:10.1117/12.965753

12 November 1981 Relative Depth And Local Surface Orientation From Image Motions

K. Prazdny

Proceedings Volume 0281, Techniques and Applications of Image Understanding; (1981) https://doi.org/10.1117/12.965753
Event: 1981 Technical Symposium East, 1981, Washington, D.C., United States

Abstract

A simple mathematical formalism is presented suggesting a mechanism for computing relative depth of any two texture elements characterized by the same relative motion parameters. The method is based on a ratio of a function of the angular velocities of the projecting rays corresponding to the two texture elements. The angu-lar velocity of a ray cannot, however, be computed directly from the instantaneous characterization of motion of a "retinal" point. It is shown how it can be obtained from the (linear) velocity of the image element on the projection surface and the first time derivative of its direction vector. A similar analysis produces a set of equations which directly yield local surface orientation relative to a given visual direction. The variables involved are scalar quantities directly measurable on the projection surface but, unlike the case of relative depth, the direction of (instantaneous) motion has to be computed by different means before the method can be applied. The relative merits of the two for-malisms are briefly discussed.

Citation Download Citation

K. Prazdny "Relative Depth And Local Surface Orientation From Image Motions", Proc. SPIE 0281, Techniques and Applications of Image Understanding, (12 November 1981); https://doi.org/10.1117/12.965753

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