6 citations · 10 across the 5 of their papers we have counts for
5 papers
Curvature Sensitive Cells in the Modular Structures of The Visual Cortex
Giovanna Citti, Vasiliki Liontou
We propose a model of the functional architecture of curvature-sensitive cells in the primary visual cortex. The model accounts for the modular and hierarchical organization of the…
Geometry of Cells Sensible to Curvature and Their Receptive Profiles
Vasiliki Liontou
We propose a model of the functional architecture of curvature sensible cells in the visual cortex that associates curvature with scale. The feature space of orientation and positi…
Gabor frames and higher dimensional boundaries in signal analysis on manifolds
Vasiliki Liontou, Matilde Marcolli
We provide a construction of Gabor frames that encode local linearizations of a signal detected on a curved smooth manifold of arbitrary dimension, with Gabor filters that can dete…
Gabor frames from contact geometry in models of the primary visual cortex
Vasiliki Liontou, Matilde Marcolli
We analyze the interplay between contact geometry and Gabor filters signal analysis in geometric models of the primary visual cortex. We show in particular that a specific framed l…
Jordan domains with a rectifiable arc in their boundary
V. Liontou, V. Nestoridis
We show that if an open arc J of the boundary of a Jordan domain is rectifiable, then the derivative ' of the Riemann map from the open unit disk D onto…