Titlebook: Neuromathematics of Vision; Giovanna Citti,Alessandro Sarti Book 2014 Springer-Verlag Berlin Heidelberg 2014 Algorithms for Computer Visio

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Shape, Shading, Brain and Awareness,n the geometry of the scene in front of the observer, the formal description of brain activity, and the visual awareness of the observer. These are three disjunct ontological levels, so the very notion of “causal connections” is problematic. Some silent assumptions in current accounts indeed invoke

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Why Shading Matters along Contours,ssumed light source direction. In contrast to these mathematical difficulties, we introduce a novel mathematical formulation for calculating local surface shape based on covariant derivatives of the shading flow field, rather than the customary integral minimization or P.D.E approaches.Working with

摘要

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Cuspless Sub-Riemannian Geodesics within the Euclidean Motion Group ,(,),curve with free total length ℓ. This problem comes from a 2D model of geometry of vision due to Petitot, Citti and Sarti. Here we will provide a general theory on cuspless sub-Riemannian geodesics within a sub-Riemannian manifold in .(.), with . ≥ 2, where we solve for their momentum in the general

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Psychophysics, Gestalts and Games,e pattern and background parameters. Nevertheless, even for these constrained percepts, psychophysics have not yet reached the challenging prediction stage, where human detection would be quantitatively predicted by a (generic) model. On the other hand, Computer Vision has attempted at defining auto

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Remarks on Invariance in the Primary Visual Systems of Mammals,environment, and active compensation ( [179], [180], [181], [182]). The research of Piaget has proved the importance of various kinds of geometrical invariance in cognitive and behaviorial development ( [173], [177], [176]). To him intelligence is a form of adaptation, the continuous process of usin

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Silent-Ischemia