论文标题
皮质V1转换为异质泊松问题
The cortical V1 transform as a heterogeneous Poisson problem
论文作者
论文摘要
V1皮层细胞的接受度非常异构，并通过区分刺激图像作为操作员从点到点变化来起作用。轻度和颜色恒定图像可以作为相关问题的解决方案重建，即具有异质差分运算符的泊松方程。在神经层面，短距离连通性的权重构成了泊松问题的基本解决方案。通过均化技术，提出了结果向同质重建的收敛性的首次证明。
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.
