A generalized perceptual space

Based upon experimental results on certain visual spatial discrimination ta sks, we have developed a formalism for a non-Euclidian perceptual space. In this formalism, the transformation from real to perceptual space is given by a generalized covariant tensor. The concept of parallel transport of vec tors in a curved space is used to prove that closed loops in real space imp ly closed loops with the same orientation in the perceptual space also.