38 citations · 166 across the 30 of their papers we have counts for
4 papers · 1 filter
Cortical Functional architectures as contact and sub-Riemannian geometry
Giovanna Citti, Alessandro Sarti
In a joint paper, Jean Petitot together with the authors of the present paper described the functional geometry of the visual cortex as the symplectization of a contact form to des…
A sub-Riemannian model of the functional architecture of M1 for arm movement direction
Caterina Mazzetti, Alessandro Sarti, Giovanna Citti
In this paper we propose a neurogeometrical model of the behaviour of cells of the arm area of the primary motor cortex (M1). We mathematically express the hypercolumnar organizati…
A model of reaching via subriemannian geodesics in Engel-type group
Caterina Mazzetti, Alessandro Sarti, Giovanna Citti
In this paper, we propose a model of arm reaching movements expressed in terms of geodesics in a sub-Riemannian space. We will choose a set of kinematic variables to which motor co…
Good continuation in 3D: the neurogeometry of stereo vision
Maria Virginia Bolelli, Giovanna Citti, Alessandro Sarti +1
Classical good continuation for image curves is based on position and orientation. It is supported by the columnar organization of cortex, by psychophysical experiments, and b…