Periodicity-Based Computation of Optical Flow

Authors

  • Georgii Khachaturov UAM-Azc
  • Silvia Beatriz González-Brambila UAM-Azc
  • Jesús Isidro González-Trejo UAM-Azc

DOI:

https://doi.org/10.13053/cys-18-4-1557

Keywords:

Optical flow, periodicity-based processing, preventive tomography, night-vision

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.

Author Biographies

Georgii Khachaturov, UAM-Azc

Departamento de Sistemas, Profesor Titular

Silvia Beatriz González-Brambila, UAM-Azc

Departamento de Sistemas, Profesor Titular

Jesús Isidro González-Trejo, UAM-Azc

Departamento de Sistemas, Profesor Titular

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Published

2014-12-31

Issue

Vol. 18 No. 4 (2014): 19(4) 2014 Thematic issue: Computational Intelligence (Guest editors: Mateo Valero, Ulises Cortés)

Section

Articles

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