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Axiomatics of Binocular Vision. The Foundations of Metric Geometry in Relation to Space Perception

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Abstract

The theory of binocular vision is given a foundation in the empirically defined relations of length ordering and alignment. The development differs significantly from earlier presentations in not requiring the presupposition of numerical metric relations, but shows instead how quantitative metric properties may be derived from the most elemental nonquantitative observations of visual experience. The requirement that the axioms reflect direct visual experience results in a development of the foundations of metric geometry which is unconventional in that topological assumptions and assumptions as to the prolongation of segments are proscribed.

© 1958 Optical Society of America

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