Toward the solution of the vertical exaggeration enigma in stereo vision
Abstract
The vertical exaggeration produced in stereoscopic vision has been the subject of numerous investigations, mainly based on optical geometry, which have given rise to several theories and mathematical formulations of questioned scientific validity. Consequently, the problem of measuring vertical exaggeration continues being an enigma. In the authors’ opinion, the theme of stereoscopic vision should be approached, not only from a strict geometric point of view, but also as a psychophysical phenomenon ruled by the Fechner’s law. The connection of the stereoscopic effect with psychophysics is evidenced by observing some geometric drawings under stereoscope. The authors consider that this new approach offers possibilities for a reliable mathematical formulation of the stereoscopic phenomenon, and the consequent solution of the vertical exaggeration enigma.
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Gottfred Konecny, profesor de la Universidad de Hannover, Alemania, laboratorios de Ingeniería de la Universidad Militar Nueva Granada (UMNG), Proyecto de la UMNG, ColcienciasReferences
ASCHENBRENNER, Claus M., (1952). A Review of Facts and Terms Concerning the Stereoscopic Effect: Photogrammetric Engineering, Vol.18, No 5, pp.818-825.
COLLINS, Stanley H. “Stereoscopic Depth Perception”, Photogrammetric Engineering, Vol. 47, No. 1, (1981), 45-52.
FECHNER, G. T., Elemente der psychophysik (Vol. 1) [Elements of psychophysics (Vol. 1)]. Leipzig, Germany: Breitkopf and Härte, (1889).
GOODALE, E.R., “An Equation for Approximating the Vertical Exaggeration of a stereoscopic view”, Photogrammetric Engineering, Vol 19, No. 4, (1953), pp.607-616.
LA PRADE, George L, “Stereoscopy – a More General Theory”, Photogrammetric Engineering, Vol 38, (1972), No.12.
MILLER, Charles L., “The Stereoscopic Space- Image”, Photogrammetric Engineering, Vol26, No.54, (1958), pp. 810-815.
RAASVELDT, Henri C., The Stereomodel, “How It is Formed and Deformed”, Photogrammetric Engineering, Vol. 22. N0. 9, (1956), pp. 708-726.
ROSAS, Humberto, “Vertical Exaggeration in Stereo-Vision”, Theories and Facts: Photogrammetric Engineering and Remote Sensing, Vol. 52, No. 11, (1986), 1747-1751.
ROSAS, H., VARGAS, W., CERÓN, A., DOMÍNGUEZ, D., CÁRDENAS, A., 2007, “Psychophysical Approach to the Measurement of Depth Perception in Stereo-Vision”, HCI International Conference 2007, Beijing, China, LNCS 4563, Ed Springer.
STONE, Kirk H, 1951. Geographical Air-Photo-Interpretation: Photogrammetric Engineering, Vol. 17, No. 5. Pp. 754-759.
YACOUMELOS, Nick G., “The Geometry of the Stereomodel: Photogrammetric Engineering”, Vol. 38, (1972), No. 8.
YACOUMELOS, Nick G., “Comments on Stereoscopy: Photogrammetric Engineering”, Vol. 39, No. 3, (1973), p. 274.