Introduction Traditionally, the perception of three-dimensional (3D) scenes and objects was assumed to be the result of the reconstruction of 3D surfaces from available depth cues, such as binocular disparity, motion parallax, texture, and shading (Marr, 1982). In this approach, the role of figure-ground organization was kept to a minimum. Figure-ground organization refers to finding […]
Introduction We present a new mathematical model of the visual cortex, which takes into account and integrates geometric and probabilistic aspects. From a geometric point of view, the cortex has been recently described as a noncommutative Lie group, equipped with a sub-Riemannian metric (Hoffman, 1989; Ben Shahar and Zucker, 2003; Bressloff et al., 2001; Citti […]