Carlton E H
Department of Psychology, Stanford University, CA 94305-2130.
Biol Cybern. 1988;59(6):419-29. doi: 10.1007/BF00336115.
A canonical unitary representation of the Euclidean group on the range space of the Gabor transform is constructed from mathematical properties of the Euclidean group and the quaternions. The visual cortical activity pattern corresponding to a given retinal image is represented by a point in the range space of the Gabor transform. Paths experienced in apparent motion and mental rotation are represented by paths in the Euclidean group. The key hypothesis of the paper is that an action of the Euclidean group on the Gabor transform space brings the perceived paths into relation with corresponding successive neural microstructure activity patterns. Possible experimental tests are suggested.
基于欧几里得群和四元数的数学性质，在伽博变换的值域空间上构建了欧几里得群的一个标准酉表示。与给定视网膜图像相对应的视觉皮层活动模式由伽博变换值域空间中的一个点来表示。在表观运动和心理旋转中经历的路径由欧几里得群中的路径来表示。本文的关键假设是，欧几里得群在伽博变换空间上的作用使感知到的路径与相应的连续神经微结构活动模式建立联系。文中还提出了可能的实验测试方法。
