title: Implementing the Retinex algorithm with Wilson-Cowan equations.
abstract: It is shown that a form of the Wilson-Cowan equations representing large-scale activity in interacting neural populations can implement a form of the Retinex algorithm for color vision. It has also been shown recently that a color enhancement algorithm closely related to Retinex can be derived from a variational principle. It follows that a variational principle exists for equations of Wilson-Cowan type. Thus the Wilson-Cowan equations are the Euler-Lagrange solution of the minimization of an energy functional. This result suggests many interesting neural applications.
authors.affiliation: Department of Information and Communication Technologies, Universitat Pompeu Fabra, Barcelona, Spain. marcelo.bertalmio@upf.edu
authors.forename: Marcelo
authors.initials: M
authors.lastname: Bertalmío
authors.forename: Jack D
authors.initials: JD
authors.lastname: Cowan
mesh_terms: D000465:Algorithms; D000818:Animals; D003118:Color Perception / Q000502:physiology*; D055253:Color Vision / Q000502:physiology*; D019277:Entropy; D006801:Humans; D007090:Image Interpretation, Computer-Assisted; D019579:Neocortex / Q000502:physiology; D016571:Neural Networks, Computer; D010775:Photic Stimulation / Q000379:methods