Retinal DOG Filters: Effects of the Discretization Process

This paper aims at analyzing the effects of the discretization process of the continuous Difference-of-Gaussians models obtained empirically by Enroth-Cugell and Robson (1966). The filter properties of the Discrete DoG kernels were analyzed in the frequency domain and their effects on input images were characterized by means of GLCM descriptors. The results demonstrate that the DoG Kernels behaviour range between true High-Frequency Enhancing filters and Band-pass filters depending on the discretization parameters. Moreover, the analysis of filtered images suggest that those kernels that enhance contrast come at a cost of higher entropy as well as lower spatial correlation.

[1]  H B Barlow,et al.  PATTERN RECOGNITION AND THE RESPONSES OF SENSORY NEURONS * , 1969, Annals of the New York Academy of Sciences.

[2]  C. Enroth-Cugell,et al.  Chapter 9 Visual adaptation and retinal gain controls , 1984 .

[3]  C. Enroth-Cugell,et al.  The contrast sensitivity of retinal ganglion cells of the cat , 1966, The Journal of physiology.

[4]  S. Laughlin,et al.  Predictive coding: a fresh view of inhibition in the retina , 1982, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[5]  S. W. Kuffler.  Discharge patterns and functional organization of mammalian retina. , 1953, Journal of neurophysiology.

[6]  D Marr,et al.  Theory of edge detection , 1979, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[7]  Joseph J. Atick,et al.  What Does the Retina Know about Natural Scenes? , 1992, Neural Computation.

[8]  C. Enroth-Cugell,et al.  Functional characteristics and diversity of cat retinal ganglion cells. Basic characteristics and quantitative description. , 1984, Investigative ophthalmology & visual science.

[9]  H. B. Barlow,et al.  Possible Principles Underlying the Transformations of Sensory Messages , 2012 .

[10]  E. Kandel,et al.  Essentials of Neural Science and Behavior , 1996 .

[11]  R. W. Rodieck.  Quantitative analysis of cat retinal ganglion cell response to visual stimuli. , 1965, Vision research.