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Journal of RoboticsVolume 2010 2010, Article ID 130285, 16 pages

Research ArticleDepartment of Computer and Mathematical Sciences, University of Houston-Downtown, One Main Street, Houston, TX 77002, USA

Received 21 September 2009; Revised 17 January 2010; Accepted 8 February 2010

Academic Editor: Noriyasu Homma

Copyright © 2010 Jacek Turski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Humans make about 3 saccades per second at the eyeball-s speed of700 deg-sec to reposition the high-acuity fovea on the targets of interestto build up understanding of a scene. The brain-s visuosaccadic circuitryuses the oculomotor command of each impending saccade to shift receptivefields RFs to cortical locations before the eyes take them there, givinga continuous and stable view of the world. We have developed a modelfor image representation based on projective Fourier transform PFTintended for robotic vision, which may efficiently process visual informationduring the motion of a camera with silicon retina that resemblessaccadic eye movements. Here, the related neuroscience background ispresented, effectiveness of the conformal camera-s non-Euclidean geometryin intermediate-level vision is discussed, and the algorithmic steps inmodeling perisaccadic perception with PFT are proposed. Our modelingutilizes basic properties of PFT. First, PFT is computable by FFTin complex logarithmic coordinates that also approximate the retinotopy. Second, the shift of RFs in retinotopic logarithmic coordinates is modeledby the shift property of discrete Fourier transform. The perisaccadicmislocalization observed by human subjects in laboratory experiments isthe consequence of the fact that RFs- shifts are in logarithmic coordinates.

Autor: Jacek Turski



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