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Chapitre D'ouvrage Année : 2023

MacKay-Type Visual Illusions via Neural Fields

Cyprien Tamekue
Dario Prandi
Yacine Chitour

Résumé

To study the interaction between retinal stimulation by redundant geometrical patterns and the cortical response in the primary visual cortex (V1), we focus on the MacKay effect (Nature, 1957) and Billock and Tsou’s experiments (PNAS, 2007). We use a controllability approach to describe these phenomena, starting from a classical biological model of neural fields equations with a non-linear response function. The external input containing a localised control function is interpreted as a cortical representation of the static visual stimuli used in these experiments. We prove that while the MacKay effect is essentially a linear phenomenon (i.e., the nonlinear nature of the activation does not play any role in its reproduction), the phenomena reported by Billock and Tsou are wholly nonlinear and depend strongly on the shape of the nonlinearity used to model the response function.
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Dates et versions

hal-04270320 , version 1 (04-11-2023)

Identifiants

Citer

Cyprien Tamekue, Dario Prandi, Yacine Chitour. MacKay-Type Visual Illusions via Neural Fields. Nielsen, F.; Barbaresco, F. Geometric Science of Information. GSI 2023, 14072, Springer Nature Switzerland, pp.501-508, 2023, Lecture Notes in Computer Science, ⟨10.1007/978-3-031-38299-4_52⟩. ⟨hal-04270320⟩
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