Functional equations in binocular space perception

A general theory of the relationship of binocular visual space to physical space is formulated within a conjoint measurement framework:. Psychophysica lly motivated invariance relations induce various functional equations. Ano ther class of functional equations arises if we additionally assume the val idity of a different psychophysical theory that is based on a formula sugge sted by A. A. Blank. We solve and interpret most of these equations and poi nt out an unsolved problem. The obtained results lead to a measurement-theo retic foundation of the psychophysical assumptions underlying the Luneburg theory of binocular vision. They also contribute to clarifying the relation ship between the presented general theory and Blank's approach. (C) 1999 Ac ademic Press.