Geometrical Structures of Photographic and Stereoscopic Spaces

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.