Conformal Model of Hypercolumns in V1 Cortex and the Möbius Group. Application to the Visual Stability Problem

Alekseevsky, Dmitri V.

doi:10.1007/978-3-030-80209-7_8

Cited by 2 publications

(1 citation statement)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Over the past two decades, great progress has been made in understanding the functional architecture of early vision in static and constructing the neurogeometric models of early vision systems (primary visual cortex V1, hypercolumns), see [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 ]. The models are based mostly on the results obtained in experiments on anesthetized animals.…”

Section: Introductionmentioning

confidence: 99%

Microsaccades, Drifts, Hopf Bundle and Neurogeometry

Alekseevsky

2022

J. Imaging

Self Cite

View full text Add to dashboard Cite

The first part of the paper contains a short review of the image processing in early vision is static, when the eyes and the stimulus are stable, and in dynamics, when the eyes participate in fixation eye movements. In the second part, we give an interpretation of Donders’ and Listing’s law in terms of the Hopf fibration of the 3-sphere over the 2-sphere. In particular, it is shown that the configuration space of the eye ball (when the head is fixed) is the 2-dimensional hemisphere SL+, called Listing hemisphere, and saccades are described as geodesic segments of SL+ with respect to the standard round metric. We study fixation eye movements (drift and microsaccades) in terms of this model and discuss the role of fixation eye movements in vision. A model of fixation eye movements is proposed that gives an explanation of presaccadic shift of receptive fields.

show abstract