Cognitive Informatics Model for Non-Overlapped Image Filtering Based on the Optical Aberrations of the Eye
Barna Reskó*, Ákos Antal**, and Péter Baranyi***
*Budapest Tech, Regional Education and Innovation Center
**Budapest University of Technology and Economics, Dept. of Mechatronics, Optics and Instr. Tech.
***Computer and Automation Research Institute, Hungarian Academy of Sciences
Recent results in retinal research have shown that ganglion cell receptive fields cover the mammalian retina in a mosaic arrangement, with insignificant amounts of overlap in the central fovea. This finding implies that from the informatics point of view there is a major conceptual gap between traditional and widely accepted, convolution based image filtering algorithms, and the way visual information is processed by the retina in the eye. The use of traditional filters with non-overlapping operator architectures leads to considerable information losses between centers of filter kernels. This paper introduces a novel model of the eye-retina system that fills the conceptual gap of information processing between the retina and the overlapping (convolution based) architectures used by today’s widely adapted algorithms. The proposed computational model takes into consideration data convergence, as well as the dynamic and optical properties of the eye lens. Based on the evaluation of the model, three hypotheses are formulated on the role of the optical precision of the eye-lens and involuntary eye accommodation dynamics.
-  C. Grigorescu, N. Petkov, and M. A. Westenberg, “Contour and boundary detection improved by surround suppression of texture edges,” Image and Vision Computing, Vol.22, No.8, pp. 609-622, 2004.
-  T. N. Mundhenk and L. Itti, “Computational modeling and exploration of contour integration for visual saliency,” Biological Cybernetics, Vol.93, No.3, pp. 188-212, 2005.
-  J. Thiem, C. Wolff, and G. Hartmann, “Biology-Inspired Early Vision System for a Spike Processing Neurocomputer,” Biologically Motivated Computer Vision, pp. 387-396, 2000.
-  H. B. Barlow, “Summation and inhibition of the frog's retina,” J. Physiology, Vol.119, pp. 69-88, 1953.
-  S. W. Kuffler, “Discharge patterns and functional organization of mammalian retina,” J. Neurophysiology, Vol.16, pp. 37-68, 1953.
-  A. Polans, W. Baehr, and K. Palczewski, “Turned on by Ca2+! The physiology and pathology of Ca2+-binding proteins in the retina,” Trends in Neurosciences, Vol.19, No.12, pp. 547-554, 1996.
-  H. J. A. Dartnall, J. K. Bowmaker, and J. D. Mollon, “Human visual pigments: Microspectrophotometric results from the eyes of seven persons,” Proc. of Royal Society of London, B., Vol.220, pp. 115-130, 1983.
-  B. A. McGuire, J. K. Stevens, and P. Sterling, “Microcircuitry of beta ganglion cells in cat retina,” J. Neurosci., Vol.6, No.4, pp. 907-918, 1986.
-  O. S. Packer and D. M. Dacey, “Receptive field structure of H1 horizontal cells in macaque monkey retina,” J. Vision, Vol.2, No.4, pp. 272-292, 2002.
-  M. Meister, “Multineural codes in retinal signaling,” In Proc. Natl. Acad. Sci. USA, Vol.93, pp. 609-614, January 1996.
-  S. Devries and D. Baylor, “Mosaic arrangement of ganglion cell receptive fields in rabbit retina,” J. Neurophysiology, Vol.78, No.4, pp. 2048-2060, October 1997.
-  L. R. Stark and D. A. Atchison, “Pupil size, mean accommodation response and the fluctuations of accommodation,” Ophthalmic and Physiological Optics, Vol.17, No.4, pp. 316-323, 1997.
-  M. S. d. Almeida and L. A. Carvalho, “Different Schematic Eyes and their Accuracy to the in vivo Eye: A Quantitative Comparison Study,” Brazilian Journal of Physics, Vol.37, No.2A, pp. 378-387, 2007.
-  I. Escudero-Sanz and R. Navarro, “Off-axis aberrations of a wideangle schematic eye model,” J. Opt. Soc. Am. A, Vol.16, No.8, pp. 1881-1891, 1999.
-  E. J. Fernández, A. Unterhuber, B. Povavzay, B. Hermann, P. Artal, and W. Drexler, “Chromatic aberration correction of the human eye for retinal imaging in the near infrared,” Optics Express, Vol.14, No.13, pp. 6213-6225, 2006.
-  R. Navarro, J. Santamaria, and J. Bescos, “Accomodationdependent model of the human eye with aspherics,“ J. Opt. Soc. Am. A, Vol.2, No.8, pp. 1273-1281, 1985.
-  H. L. Liou and N. A. Brennan, “Anatomically accurate, finite model eye for optical modeling,” J. Opt. Soc. Am. A, Vol.14, pp. 1684-1695, 1997.
-  A. Atchinson and G. Smith, “Continuous gradient index and shell models of the human lens,” Vision Res., Vol.35, pp. 2529-2538, 1995.
-  M. A. Rama, M. V. Pérez, C. Bao, M. T. Flores-Arias, and C. G'omes-Reino, “Gradient-index crystalline lens model: A new method for determining the paraxial properties by the axial and field rays,” Optics Communications, Vol.249, pp. 595-609, 2005.
-  W. J. Smith, “Modern Optical Engineering, The Design of Optical Systems,” McGraw-Hill, New York, 2000.
-  L. A. Carvalho, “A Simple mathematical model for simulation of the human optical system based on in vivo corneal data,” Brazilian Journal of Physics, Vol.19, No.1, pp. 29-37, 2003.
-  A. V. Goncharov, M. Nowakowski, M. T. Sheehan, and C. Dainty, “Reconstruction of the Optical System of the Human Eye with Reverse Ray-Tracing,” Optics Express, Vol.16, No.3, pp. 1692-1703, 2008.
-  S. Norrby, P. Piers, C. Campbell, and M. v. d. Mooren, “Model eyes for evalution of intraocular lenses,” Applied optics, Vol.46, No.26, pp. 6596-6605, 2007.
-  M. v. Waldkirch, P. Lukowicz, and G. Tröstner, ”Defocusing simulation on a retinal scanning display for quasi accommodation-free viewing,” Optics Express, Vol.11, No.24, pp. 3220-3233, 2003.
-  A. Ho, P. Erickson, F. Manns, T. Pham, and J.-M. Parel, ”Theoretical Analysis of Accommodation and Ametropia Correction by Varying Refractive Index in Phaco-Ersatz,” Optometry and Vision Science, Vol.78, No.6, pp. 405-410, 2001.