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arXiv · 2206.06895

The cortical V1 transform as a heterogeneous Poisson problem

Alessandro Sarti·Mattia Galeotti·Giovanna Citti
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Abstract

Receptive profiles of V1 cortical cells are very heterogeneous and act by differentiating the stimulus image as operators changing from point to point. A lightness and color constancy image can be reconstructed as the solution of the associated inverse problem, that is a Poisson equation with heterogeneous differential operators. At the neural level the weights of short range connectivity constitute the fundamental solution of the Poisson problem adapted point by point. A first demonstration of convergence of the result towards homogeneous reconstructions is proposed by means of homogenisation techniques.

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Alessandro Sarti, Mattia Galeotti, Giovanna Citti. 2022-06-14. The cortical V1 transform as a heterogeneous Poisson problem. https://arxiv.org/abs/2206.06895

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