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Marta Favali

Ph.D. student @ Centre National de la Recherche Scientifique (CNRS)

joint supervision with Alma Mater Studiorum Università di Bologna - Dipartimento di Matematica (UNIBO)

since 5/1/2014 for 3 years.

under the supervision of Prof. Giovanna Citti, Prof. Alessandro Sarti

Ph.D. Thesis

“Formal models of visual perception based on cortical architectures” on April 18, 2017

Research

In the first part of my project I began to study geometric models of visual perception using dimensionality reduction techniques and I studied some first examples of grouping and figure-ground segmentation techniques. Starting from the kernels that represent the cortical connectivity, the problem of grouping has been faced by means of spectral analysis of suitable affinity matrices. For the numerical simulations, I have first considered particularly Kanizsa figures as clear examples of problems of visual perception. Other examples of stimulus formed by different perceptual units have been studied. Then, I started to apply the model of cortical connectivity obtained with different stochastic kernel to the analysis of retinal images, to afford problems of grouping during the tracking of blood vessels. Combining spectral analysis and spectral clustering algorithm it has been possible to group different perceptual units in these images. My activity is going on comparing the results obtained through these models with functional data fMRI, analyzing encoding and decoding models.

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Publications and Preprints

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