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12/09/2022
Cortical origins of MacKay-type visual illusions. A case for the non-linearity
To study the interaction between retinal stimulation by redundant geomet...
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07/08/2022
Reproducing sensory induced hallucinations via neural fields
Understanding sensory-induced cortical patterns in the primary visual co...
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12/28/2020
A cortical-inspired sub-Riemannian model for Poggendorff-type visual illusions
We consider Wilson-Cowan-type models for the mathematical orientation-de...
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10/15/2019
Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling
We consider the evolution model proposed in [9, 6] to describe illusory ...
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12/18/2018
A cortical-inspired model for orientation-dependent contrast perception: a link with Wilson-Cowan equations
We consider a differential model describing neuro-physiological contrast...
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01/11/2018
Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion
In this paper we review several algorithms for image inpainting based on...
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04/10/2017
A semidiscrete version of the Petitot model as a plausible model for anthropomorphic image reconstruction and pattern recognition
In his beautiful book [54], Jean Petitot proposes a subriemannian model ...
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11/23/2016
Generalized Fourier-Bessel operator and almost-periodic interpolation and approximation
We consider functions f of two real variables, given as trigonometric fu...
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07/23/2015
Fourier descriptors based on the structure of the human primary visual cortex with applications to object recognition
In this paper we propose a supervised object recognition method using ne...
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02/25/2015