2014/06/02 by Alessandro Sarti, Sarti, Alessandro, Giovanna Citti +1
Computer Science · Neuroscience · #Advanced Vision and Imaging #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #Neural Networks and Applications #Neural dynamics and brain function #Visual perception and processing mechanisms #cs.CV
paper · pdf · doi:10.48550/arxiv.1406.0289
arxiv created 2014/06/02 · openalex publication_date 2014/06/02 · arxiv updated 2014/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Scope of this paper is to consider a mean field neural model which takes into account the functional neurogeometry of the visual cortex modelled as a group of rotations and translations. The model generalizes well known results of Bressloff and Cowan which, in absence of input, accounts for hallucination patterns. The main result of our study consists in showing that in presence of a visual input, the eigenmodes of the linearized operator which become stable represent perceptual units present in the image. The result is strictly related to dimensionality reduction and clustering problems.