A Gauge Field Model of Modal Completion

作者:Citti Giovanna; Sarti Alessandro*
来源:Journal of Mathematical Imaging and Vision, 2015, 52(2): 267-284.
DOI:10.1007/s10851-015-0557-0

摘要

Perceptual completion of figures is a basic process revealing the deep architecture of low level vision. In this paper, a complete gauge field Lagrangian is proposed which couples the retinex equation with neurogeometrical models and solves the problem of modal completion, i.e. the pop up of the Kanizsa triangle. Euler-Lagrange equations are derived by variational calculus and numerically solved. Plausible neurophysiological implementations of the particle and field equations are discussed and a model of the interaction between LGN and visual cortex is proposed.