Analytical expressions of 3D Reconstruction By Invariant Reduction Of Optical Flow Parameters

Ken-ichi Kanatani

doi:10.1117/12.950836

11 December 1985 Analytical expressions of 3D Reconstruction By Invariant Reduction Of Optical Flow Parameters

Ken-ichi Kanatani

Proceedings Volume 0579, Intelligent Robots and Computer Vision IV; (1985) https://doi.org/10.1117/12.950836
Event: 1985 Cambridge Symposium, 1985, Cambridge, United States

Abstract

This paper investigates the geometrical structure of parameters extracted from an optical flow. The transformation law is given with respect to the camera rotation around its focus by considering infinitesimal transformations. The parameter transformations form a representation of the 3D rotation group. The parameter space is decomposed into invariant subspaces of irreducible representations, and the optical flow is accordingly decomposed into two parts. The 3D reconstruction is described in terms of invariants extracted by this process. Their geometrical interpretation is also given.

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Ken-ichi Kanatani "Analytical expressions of 3D Reconstruction By Invariant Reduction Of Optical Flow Parameters", Proc. SPIE 0579, Intelligent Robots and Computer Vision IV, (11 December 1985); https://doi.org/10.1117/12.950836

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