论文标题
基于皮质的最佳运输
Cortically based optimal transport
论文作者
论文摘要
我们在主视觉皮层V1中引入了用于图像变形的模型，以及时执行缺失图像的完成。我们通过Gabor过滤器系列对简单细胞的输出进行建模，并将神经信号的传播相应地传播到由水平连通性引起的功能几何形状上。然后，我们将两个图像之间的变形建模为依赖两个不同输出的路径。考虑到与V1上输出自然诱导的某些概率指标相关的Wasserstein距离测量学相关的最佳运输，可以通过最佳运输获得此路径。 Gabor过滤器的框架允许投影输出路径，从而获得相关的图像刺激变形。我们对皮质模型进行数值实现，评估了其重建简单形状刚性动作的能力。
We introduce a model for image morphing in the primary visual cortex V1 to perform completion of missing images in time. We model the output of simple cells through a family of Gabor filters and the propagation of the neural signal accordingly to the functional geometry induced by horizontal connectivity. Then we model the deformation between two images as a path relying two different outputs. This path is obtained by optimal transport considering the Wasserstein distance geodesics associated to some probability measures naturally induced by the outputs on V1. The frame of Gabor filters allows to project back the output path, therefore obtaining an associated image stimulus deformation. We perform a numerical implementation of our cortical model, assessing its ability in reconstructing rigidi motions of simple shapes.
