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Computación y Sistemas

Print version ISSN 1405-5546

Comp. y Sist. vol.18 n.4 México Oct./Dec. 2014

http://dx.doi.org/10.13053/CyS-18-4-1557 

Artículos regulares

 

Periodicity-Based Computation of Optical Flow

 

Georgii Khachaturov, Silvia Beatriz González Brambila, and Jesús Isidro González Trejo

 

Departamento de Sistemas, Universidad Autónoma Metropolitana (Azcapotzalco). Mexico. xgeorge@correo.azc.uam.mx

 

Article received on 27/09/2013.
Accepted on 27/06/2014.

 

Abstract

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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