Microsaccades, Drifts, Hopf Bundle and Neurogeometry

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F22%3A50019342" target="_blank" >RIV/62690094:18470/22:50019342 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2313-433X/8/3/76" target="_blank" >https://www.mdpi.com/2313-433X/8/3/76</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/jimaging8030076" target="_blank" >10.3390/jimaging8030076</a>

Result language
angličtina
Original language name
Microsaccades, Drifts, Hopf Bundle and Neurogeometry
Original language description
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 S-L(+), called Listing hemisphere, and saccades are described as geodesic segments of S-L(+) 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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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