27 August 1992 Relationship between hovering depth and viewing position
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Abstract
Random-dot stereograms first generated by Julesz have since been much used for research in vision and perception. When stereograms are binocularly viewed, three-dimensional surfaces can be perceived hovering over the random-dot background. It can be observed that when the viewing distance alters, the hovering depth of the surface also changes and that if we move our eyes to and fro sideways while viewing, the hovering surface moves with our eye movement. It is believed that the information about depth and three-dimensional shape available from the horizontal component of the stereo disparity field requires interpretation in conjunction with information about egocentric viewing distance. This paper shows the relationship between hovering depth and viewing position. The hovering depth can be calculated providing the interocular distance, the convergence angle and the disparity are known. The ratio of the hovering depths at two different viewing positions is equal to the ratio of the corresponding viewing distances. A mathematical explanation is given of the fact that changing viewing position results in changing of the perceived depth of the hovering surface in stereograms. The horizontal shift of the hovering surface has a linear relationship with the amount of eye movement, and the ratio between them is determined by a the disparity and the interocular distance.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Chang-Ming Sun, Chang-Ming Sun, Andrew K. Forrest, Andrew K. Forrest, } "Relationship between hovering depth and viewing position", Proc. SPIE 1666, Human Vision, Visual Processing, and Digital Display III, (27 August 1992); doi: 10.1117/12.135994; https://doi.org/10.1117/12.135994
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