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. Psychophysically motivated invariance relations induce various functional equations. Another class of functional equations arises if we additionally assume the validity of a different psychophysical theory that is based on a formula suggested by A. A. Blank. We solve and interpret most of these equations and point out an unsolved problem. The obtained results lead to a measurement-theoretic foundation of the psychophysical assumptions underlying the Luneburg theory of binocular vision. They also contribute to clarifying the relationship between the presented general theory and Blank's approach. Copyright 1999 Academic Press.