Depth, Motion & Spatial Perception

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Abstractions about depth cues, mental rotation, projections, perceptual constancy, apparent motion, and visual illusions involving three-dimensional interpretation.

7 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.

• Depth Perception — Recover egocentric distance, depth order, and three-dimensional scene layout from two-dimensional retinal projections by exploiting binocular disparity, motion, occlusion, perspective, texture, oculomotor state, and their reliability-sensitive combination.
• Double-Nail Illusion — A binocular-correspondence illusion in which two slender objects aligned at different egocentric depths are perceived side by side at a common, vergence-linked distance rather than in their physical front–back arrangement.
• Isometric Projection — Represent a three-dimensional object by an orthographic axonometric projection whose three principal axes have equal projected scale and appear pairwise 120 degrees apart.
• Kinetic depth effect — The perceptual recovery of vivid 3D structure from the 2D motion of a stimulus that looks flat when static — the visual system solving an underdetermined inverse problem by adding motion as constraint under a rigidity prior.
• Mental Rotation — The cognitive process of imagining an object rotating continuously through intermediate orientations to align it with a comparison object before judging a match — diagnosed by reaction time that scales linearly with angular disparity.
• Perceptual Constancy — The phenomenon by which a perceiver holds an object's properties — size, shape, color, identity — stable despite large variation in the proximal stimulus, by inferring the distal property and implicitly factoring out the viewing condition.
• Wagon-Wheel Effect — A rapidly spinning spoked wheel appears to slow, freeze, or reverse because a periodic feature sampled at discrete intervals above its Nyquist limit produces a lower-frequency alias — the apparent motion being the slowest rotation consistent with the snapshots, not the true speed.