Deeper Understanding on Solution Ambiguity by Homography Decomposition

He Liu, Hiroyuki Hase, and Shogo Tokai


3D motion parameters, homography decomposition, solution ambiguity


This paper discusses two dependencies of the solution ambiguity problem on 3D motion parameter estimation by homography decomposition. By considering the geometrical and the algebraic relations of the planar object before and after the 3D motion, we found the solution ambiguity is not inevitably. It depends on two kinds of factors: (1) for the same object size, it depends on the 3D motion parameters; (2) for the same 3D motion, it depends on the size of the object. To the former, more reliable proof than the related works is presented in this paper; to the latter, it has not been reported until now.

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