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Next seminar:
Next seminar:
10/12/25 - Davide Barbieri - 5:30 p. m.
10/12/25 - Davide Barbieri - 5:30 p. m.
(Universidad Autónoma de Madrid)
(Universidad Autónoma de Madrid)
Image representation and reconstruction in the SE(2) gaussian wavelets model of primary visual cortex
Abstract. The purpose of this talk is to present some new insights on a classical model of visual neurons in brain's primary visual cortex V1 from the point of view of harmonic analysis.
Most of the linear behaviour of a single V1 neuron can be described as a wavelet coefficient of the visual stimulus, associated with the quasiregular representation of the SE(2) group on a gaussian mother wavelet. However, the set of available coefficients (as observed with neurophysiological measurements on V1) has a puzzling distribution, which does not immediately resemble known sampling sets. We want to present - with analytical and numerical arguments - an approach that can allow us to obtain frame conditions, and quantify the accuracy of the representation, for a relevant function space of images. We will also show an elementary reconstruction algorithm that does not require the explicit computation of a dual frame.
This series of seminars is addressed to an audience interested in Harmonic Analysis in the broadest possible sense. The seminars will not necessarily concern the latest research results; the speaker may also give a talk about open problems or a survey colloquium.
The conferences take place generally every two weeks on Wednesday at 5:30 p. m. (Rome time).
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Organizers:
Tommaso Bruno (Università di Genova)
Valentina Casarino (Università degli Studi di Padova)
Bianca Gariboldi (Università degli Studi di Bergamo)
Alessio Martini (Politecnico di Torino)
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