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February 1949

Mathematical Analysis of Binocular Vision.

Arch Ophthalmol. 1949;41(2):251-252. doi:10.1001/archopht.1949.00900040256014

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This work is, in the opinion of the reviewer, the most substantial advance in the mathematical theory of binocular vision which has been made in many years. Whether or not the concepts advanced will permit future improvement in the design of binocular microscopes, range find- ers, field glasses, slit lamps and other binocular instruments is, as Dr. Luneburg realizes, dependent on further experimental observations. These observations would be directed to the determination of what percentage of persons possess a visual space differing significantly from euclidean space.

It is the reviewer's thought that if the hypothesis is confirmed by further observation more immediate and feasible applications would be to orthoptic training, three dimensional motion pictures and television, particularly the last.

The basic thesis of the book is that visually perceived space is not Euclidean but is more readily described by the hyperbolic geometry of Lobachevski, although the applicability of Euclidean or

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