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.
A Gauge Field Model of Modal Completion / Citti, Giovanna; Sarti, Alessandro. - In: JOURNAL OF MATHEMATICAL IMAGING AND VISION. - ISSN 0924-9907. - STAMPA. - 52:2(2015), pp. 267-284. [10.1007/s10851-015-0557-0]
A Gauge Field Model of Modal Completion
CITTI, GIOVANNA;SARTI, ALESSANDRO
2015
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
