Retinal filtering and image reconstruction

Adrien Wohrer 1, 2 Pierre Kornprobst 1, * Marc Antonini 3
* Auteur correspondant
1 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 : In previous work, we have proposed a bio-plausible model of retinal processing, based on the physiological literature. A strong characteristic of this model was to reproduce the temporal delay of the surround component of filtering, as observed in real retinas. In this report, we study the possibilities of image reconstruction based on the response of such a model to the sudden appearance of a static image. In this report, we mostly focus on the first stage of the model, which performs \emph{linear spatio-temporal filtering} on the input image. We view this stage as a linear application from a 2D space (the image) to a 2D+T space (the temporal response of the retina), which bears an optimal inverse transformation in terms of robustness to noise: the pseudo-inverse of Moore-Penrose. We study the particular structure of this pseudo-inverse, due to the structure of retinal filtering with a delayed surround component. As a result, the pseudo-inverse-based image reconstruction reconstructs low spatial frequencies before high spatial frequencies. This property could have psychophysical correlates, for example during perception of very short image presentations.
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Rapport
[Rapport de recherche] RR-6960, INRIA. 2009, pp.25
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Adrien Wohrer, Pierre Kornprobst, Marc Antonini. Retinal filtering and image reconstruction. [Rapport de recherche] RR-6960, INRIA. 2009, pp.25. 〈inria-00394547v2〉

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