Psychophysics of Stereopsis (02/11/08 SS) 1. Principles -Distance and depth Make a clear distinction between: absolute distance (between observer and object) & relative distance, or depth (between or within object(s)) -Depth “cues” and “common” representation Taxonomy: static vs. dynamic, monocular vs. binocular, physiological vs. pictorial, etc. Generic representation of depth based on various cues? cf. Transfer of depth contrast(simultaneous/sequential; Graham, M. & Rogers, B. 1982) cf. Stimulus convergence and response convergence (A. Yonas) -Horopter (Vieth-Mueller’s circle) defined by fixation points for a constant vergence angle. This determines “zero” disparity. -Binocular disparity =lateral displacement of retinal images between the eyes, caused by depth in the real world. -Binocular vision (fusion vs. rivalry), determined primarily by correlation between the two eye’s inputs. cf. Helmholtz’s stereogram(opposite contrast between the halfimages) -Scaling by distance Given a disparity, depth is correlated with distance2. 2. Classical stereogram & classical theories -Stereoscope (Wheatstone’s & Brewster’s) -Stereoacuity as a hyperacuity (both in order of several min. in the normal adult) -“Pseudoscopic” perception, or integration of cues -Contour-based theories (eg. Ogle) 3. Julesz' Random-dot stereogram & stereo as a module -“Purely cyclopean” (cf. Fodor “modularity”) -Early, and bottom-up -Ambiguity solving and the “ghosts”(-->4) -Binocular correlation (random-dot correlogram) -Hysteresis -Flexibility -Filling-in and surface formation 4. Constraints The stereo mechanism implements constraints to solve the correspondence problem. = THE computational belief. -Uniqueness D. Weinshall’s special case of violation. -Order(“shallow slope”) J. Foley’s nail illusion. D. Jones & J. Malik’s computational model. -Smoothness G. Mitchson & S. McKee’s spatially repeated stereogram. However, do not forget that the correspondence solving is not the final goal. --> Depth assignment is the final (see the following sections). 5. DaVinci Stereopsis (K. Nakayama & S. Shimojo, 1989) -Is interocular correspondence really necessary for stereo? No. (cf. slit view) -Depth perception and illusory occluding edge by “unpaired” stimulus (Da Vinci stereo). 6. Development of stereopsis and the “eye of origin” -Is 3D perception innate? Yes, and No. -Pre-stereoptic binocular vision and the onset of ocular- dominance segregation à constrains the onset of stereopsis at about 4-months of age in the normal human infant. 7. Adaptation and plasticity of stereopsis -Stereo adaptation (cf. Graham & Rogers, mentioned above). -Adaptation to exaggeration or reduction of disparity; occurs in order of minutes or hours (Brown, Wallach, etc.) -Adaptation to the reversal of disparity? (S. Shimojo & Y. Nakajima, 1980) -Paradox about Anisometropia; the patients do not suffer artificial tilt in depth (which is expected from the optical distortion) until they are tested with stereoscope. 8. Evolution of stereopsis - In ancient nocturnal mammals? Replacement of motion parallax? (J. Pettgrew’s speculation) - Anatomically different projections from the two eyes in birds -> an example of convergence of evolution.