A Cell Model for the Detection of a Planar Surface Using Motion Stereo in Area MST of the Visual Cortex

I propose a series of modeled cells for detecting three plane parameters (i.e. a time-to-contact to a plane, its orientation, and its shortest distance) with motion stereo. This series is composed of lateral geniculate nucleus cells, nondirectionally selective simple cells, directionally selective (DS) simple cells, DS complex cells, motion-detection cells, and planar-surface-detection cells. These cell types perform the time delay, Hough transform, spatio-temporal correlation, accumulation, inverse Hough transform, and a combinations of the cross-ratio and polar transforms (or a small-circle transform) to detect these plane parameters, respectively. Each connection of the neural network connecting this series of cell types is modeled mathematically one by one using these transforms. The selective responses of SDCs to planar parameters are consistent with those of physiological experiments.