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Geometrical Structures of Photographic and Stereoscopic Spaces

Published online by Cambridge University Press:  10 April 2014

Toshio Watanabe
Toshio Watanabe*
Affiliation:
Keio University, Japan
*
Correspondence concerning this article should be addressed to Professor Toshio Watanabe, E-mail: watanabe@sfc.keio.ac.jp
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Abstract

Two experiments were conducted to investigate the geometrical structures of photographic and stereoscopic spaces. In Experiment 1, it was investigated how accurately photographic space reproduces real physical space, and the geometrical structure of photographic space was compared with that of visual space. As a result, the mapping function of distance between photographic and physical spaces (δ = adb) shows that a and b range from 0.96–1.1 and 0.69–0.78. The mapping function of angle between photographic and physical spaces (Φ = gϕh) shows that g and h range from 2.37–5.29 and 0.74–0.97. Further, photographic space has larger anisotropic property than visual space and photographic space may be hyperbolic. In Experiment 2, the geometrical structure of stereoscopic space was compared with that of visual space. It was found that stereoscopic space was almost the same as visual space.

Se realizaron dos experimentos para investigar las estructuras geométricas de los espacios fotográficos y estereoscópicos. En el Experimento 1 se investigó la precisión con que el espacio fotográfico reproduce el espacio físico real, y se comparó la estructura geométrica del espacio fotográfico con la del espacio visual. Como resultado la función de correspondencia para la distancia entre los espacios fotográficos y los físicos (δ = adb) muestra que a y b varían entre 0.96–1.1 y 0.69–0.78. La función de correspondencia angular del ángulo entre los espacios fotográficos y los físicos (Φ = gϕh) muestra que g y h varían entre 2.37–5.29 y 0.74–0.97. Además, el espacio fotográfico tiene una propiedad anisotrópica mayor que el espacio visual, y el espacio fotográfico podría ser hiperbólica. En el Experimento 2, se comparó la estructura geométrica del espacio estereoscópico con la del espacio visual. Se encontró que el espacio estereoscópico era casi igual que el espacio visual.

Keywords

depth perceptionphotographstereoscopic visionpercepción de la profundidadfotografíavisión estereoscópica
Type
Monographic Section: Spatial Vision and Visual Space
Information
The Spanish Journal of Psychology , Volume 9 , Issue 2 , November 2006 , pp. 263 - 272
Copyright
Copyright © Cambridge University Press 2006

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