We consider a differential model describing neuro-physiologi-cal contrast perception
phenomena induced by surrounding orientations. The mathematical formulation relies on a …

We consider the evolution model proposed in Bertalmío (Front Comput Neurosci 8: 71,
2014), Bertalmío et al.(IEEE Trans Image Process 16 (4): 1058–1072, 2007) to describe …

The property of covariance, also referred to as equivariance, means that an image operator
is well-behaved under image transformations, in the sense that the result of applying the …

We reproduce suprathreshold perception phenomena, specifically visual illusions, by Wilson–
Cowan (WC)-type models of neuronal dynamics. Our findings show that the ability to …

We consider Wilson-Cowan-type models for the mathematical description of orientation-
dependent Poggendorff-like illusions. Our modelling improves two previously proposed …

Visual illusions emerge as an attractive field of research with the discovery over the last
century of a variety of deep and mysterious mechanisms of visual information processing in …

Orientation detection is an important step in image understanding. Simple cells in the
primary visual cortex are sensitive to stimuli of specific orientation. Hubel and Wiesel's …

The properties of human contrast perception show a close correlation to the responses of
retinal ganglion cells (Kelly, 1977; Lee, 1990), whose spatial processing properties (the …

Abstract Divisive Normalization and the Wilson–Cowan equations are well-known influential
models of nonlinear neural interaction (Carandini and Heeger in Nat Rev Neurosci 13 (1) …

In this paper we present a new model for the generation of orientation preference maps in
the primary visual cortex (V1), considering both orientation and scale features. First we …