MULTI-DIMENSIONAL STATE SPACE OF PERCEPTION
A typical traditional psychophysics has been concerned with a functional relation between a single sensory dimension and a single physical dimension. However, a perceptual object is usually defined by many perceptual dimensions and related to many physical dimensions. Accordingly a multidimensional state-space model of perception is proposed. The state space of visual perception consists of several dimensions including perceptual dimensions of color, shape, size, as well as spatial dimensions. A point in the state space represents a perceptual object which has some color, size, shape, and is located at a certain point in the visual space of an observer. Different points in the state space correspond to different perceptual objects in some perceptual characteristics and/or in location. Distances between these points correspond to differences in perceptual characteristics and/or perceived spatial separation. Interactions between different points indicate some perceptual phenomena related to these objects, e.g. perceptual grouping, apparent motion, etc.