Johnston A, McOwan P W, Benton C P
Department of Psychology, University College London, Gower Street, London WC1E 6BT, UK.
J Physiol Paris. 2003 Mar-May;97(2-3):325-34. doi: 10.1016/j.jphysparis.2003.09.016.
A theory of early motion processing in the human and primate visual system is presented which is based on the idea that spatio-temporal retinal image data is represented in primary visual cortex by a truncated 3D Taylor expansion that we refer to as a jet vector. This representation allows all the concepts of differential geometry to be applied to the analysis of visual information processing. We show in particular how the generalised Stokes theorem can be used to move from the calculation of derivatives of image brightness at a point to the calculation of image brightness differences on the boundary of a volume in space-time and how this can be generalised to apply to integrals of products of derivatives. We also provide novel interpretations of the roles of direction selective, bi-directional and pan-directional cells and of type I and type II cells in V5/MT.
本文提出了一种关于人类和灵长类视觉系统早期运动处理的理论，该理论基于这样一种观点：时空视网膜图像数据在初级视觉皮层中由截断的三维泰勒展开表示，我们将其称为喷流向量。这种表示使得微分几何的所有概念都可应用于视觉信息处理的分析。我们特别展示了广义斯托克斯定理如何用于从计算某一点处图像亮度的导数，过渡到计算时空体积边界上的图像亮度差异，以及如何将其推广应用于导数乘积的积分。我们还对方向选择性、双向和全向细胞以及V5/MT区域中I型和II型细胞的作用提供了新颖的解释。
