SIAM Journal on Imaging Sciences, Volume 17, Issue 1, Page 389-414, March 2024.
Abstract. Receptive profiles of the primary visual cortex (V1) cortical cells are very heterogeneous and act by differentiating the stimulus image as operators changing from point to point. In this paper we aim to show that the distribution of cells in V1, although not complete to reconstruct the original image, is sufficient to reconstruct the perceived image with subjective constancy. We show that a color constancy image can be reconstructed as the solution of the associated inverse problem, which 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 homogenization techniques.

中文翻译：

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作为异质泊松问题的皮质 V1 变换

SIAM 影像科学杂志，第 17 卷，第 1 期，第 389-414 页，2024 年 3 月。
摘要。初级视觉皮层 (V1) 皮层细胞的感受曲线非常异质，并且通过随着操作员逐点变化而区分刺激图像来发挥作用。在本文中，我们的目的是证明 V1 中的细胞分布虽然不足以重建原始图像，但足以重建具有主观稳定性的感知图像。我们证明，颜色恒常性图像可以重建为相关反问题的解，该问题是具有异构微分算子的泊松方程。在神经层面，短程连接的权重构成了逐点调整的泊松问题的基本解决方案。通过均质化技术提出了结果向同质重建收敛的第一个演示。