Another look at the retina as an image dithered scalar quantizer

Khaled Masmoudi 1 Marc Antonini 2 Pierre Kornprobst 3
3 NEUROMATHCOMP
CRISAM - Inria Sophia Antipolis - Méditerranée , INRIA Rocquencourt, ENS Paris - École normale supérieure - Paris, UNS - Université Nice Sophia Antipolis, CNRS - Centre National de la Recherche Scientifique : UMR8548
Abstract : We explore, in this paper, the behavior of the mammalians retina considered as an analog-to-digital converter for the incoming light stimuli. This work extends our previous effort towards combining results in neurosciences with image processing techniques [1]. We base our study on a biologically realistic model that reproduces the neural code as generated by the retina. The neural code, that we consider here, consists of non-deterministic temporal sequences of uniformly shaped electrical impulses, also termed as spikes. We describe, starting from this spike-based code, a dynamic quantization scheme that relies on the so-called rate coding hypothesis. We, then, propose a possible decoding procedure. This yields an original quantizing/de-quantizing system which evolves dynamically from coarse to fine, and from uniform to non-uniform. Furthermore, we emit a possible interpretation for the non-determinism observed in the spike timings. In order to do this, we implement a three-staged processing system mapping the anatomical architecture of the retina. We, then, model the retinal noise by a dither signal which permits us to define the retina behavior as a non-subtractive dithered quantizer. The quantizing/de-quantizing system, that we propose, offers several interesting features as time scalability as well as reconstruction error whitening and de-correlation from the input stimuli.
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Khaled Masmoudi, Marc Antonini, Pierre Kornprobst. Another look at the retina as an image dithered scalar quantizer. International Workshop on Image Analysis for Multimedia Interactive Services (WIAMIS 2010), Apr 2010, Desenzano del Garda, Italy. paper 21. ⟨hal-00481337⟩

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