Abstract

KHACHATUROV, Georgii; GONZALEZ BRAMBILA, Silvia Beatriz  and  GONZALEZ TREJO, Jesús Isidro. Periodicity-Based Computation of Optical Flow. Comp. y Sist. [online]. 2014, vol.18, n.4, pp.741-754. ISSN 2007-9737.  https://doi.org/10.13053/CyS-18-4-1557.

The standard Brightness Constancy Equation states spatiotemporal shift invariance of the input data along a local velocity of optical flow. In its turn, the shift invariance leads to a periodic function of a real argument. This allows application of a known test for periodicity to computation of optical flow at random locations. The approach is valid also for higher dimensions: for example, it applies to a sequence of 3D tomography images. The proposed method has a reasonably high accuracy for continuous flow and is noise tolerant. Special attention is paid to weak signal input. It is shown that a drastic reduction in the signal strength worsens the accuracy of estimates insignificantly. For a possible application to tomography, this would lead to an unprecedented diminution of harmful radiation exposure.

Keywords : Optical flow; periodicity-based processing; preventive tomography; night vision.

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