Abstract:

 The virtual 3D space is a digital one of real world and the human stereo visional space is a 3D reconstruction of the real world or virtual scene through human visional system. Traditionally, human views the environment around himself directly and the geometric relationship between the human stereo visional space and the real world exists undoubtedly. How about the relations of stereo visional space to the virtual 3D space are? According to the principle of binocular disparity, a geometric model of stereo vision is established for the virtual 3D scene and the corresponding visional 3D model is constructed too. And the screen disparity and retina disparity are analyzed with respect to an arbitrary spatial point. As a result, the geometric mapping between the point of virtual space and the one in visional space is established with matrix algebra, indicating that the 3D visional model can be mapped to a virtual 3D model unambiguously and the metric capability of human visional system is intrinsic. The main contribution of this paper is that a wholesome visional 3D model is proposed, which lays down a quantitative analysis foundation for the traditional stereo vision. The results are useful theory explorations for the stereo presence, the virtual interaction and the metric applications.

Key words: stereo vision;binocular disparity;3D visional model;stereo image pair;conjugated points;virtual 3D space