Invariants in visual motion

Daniel Raviv

doi:10.1117/12.150220

6 August 1993 Invariants in visual motion

Daniel Raviv

Proceedings Volume 2056, Intelligent Robots and Computer Vision XII: Active Vision and 3D Methods; (1993) https://doi.org/10.1117/12.150220
Event: Optical Tools for Manufacturing and Advanced Automation, 1993, Boston, MA, United States

Abstract

This paper deals with new and simple representations of 3-D points in a moving-observer coordinate system. Assuming rectilinear motion with no rotation of an observer where the optical axis coincides with the direction of motion, and a stationary scene, points in 3-D space that lie on a particular 3-D surface produce constant value of some nonlinear function of the measurable image optical flow. Five sets of different surfaces are introduced and there is one optical-flow based constant value for each surface. We called these values `invariants.' It is shown how to extract these invariants and how to use them for representing 3-D space.

Citation Download Citation

Daniel Raviv "Invariants in visual motion", Proc. SPIE 2056, Intelligent Robots and Computer Vision XII: Active Vision and 3D Methods, (6 August 1993); https://doi.org/10.1117/12.150220

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