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Curvature and the visual perception of shape: Theory on information along object boundaries and the minima rule revisited.

<29>Based on information theory, this work formally derives shape information content as a function of curvature, which explains and links a large set of empirical works on visual perception of object contours. It replaces an influential work (Psychological Review, 112:243-252, 2005). It extends the formal derivation to the domain of 3D surface curvature—a fundamental issue in research on visual perception, which not only corrects an influential work (Cognition, 18:65-96, 1984), but also generates novel empirical predictions for 3D shape perception; recent empirical findings confirm some of these predictions (Journal of Vision 12(1):7, 1-15, 2012).