On the Linear Algorithm for Monocular Stereo-Scopy of Moving Objects

Koichiro Deguchi, Ikuko AKIBA · Transactions of the Society of Instrument and Control Engineers · 1990

From two time-sequential images of a moving object obtained by fixed monocular camera, three dimensional shape of the object can be reconstructed based on the same basic principle as of stereo-scopies.And a linear algorithm for this problem has been presented.But, the algorithm is known not to give solutions for some cases, and their conditions have not been clarified.This paper presents the condition, which tells that all corresponding points used in the linear algorithm and camera points must not lie on any quadratic surface in the three dimensional space.This fact also tells that, by selecting and using some other points off the surface for the corresponding points, such a incapable case can be avoided.It will promise the usefulness of the monocular stereo-scopy method and its linear algorithm.

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