bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

Citti, G. and Sarti, A.:
Geometria differenziale per il completamento percettivo
La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana Serie 1 1 (2008), fasc. n.1, p. 107-130, (Italian)
pdf (13.81 MB), djvu (446 Kb). | MR 2394840

Sunto

In questo lavoro richiamiamo alcuni esperimenti classici di psicologia della percezione dovuti a Kanizsa e a Heiss, Fields e Hess, che indicano l'importanza del concetto di direzione nei processi percettivi. Poi presentiamo un modello di corteccia, che descrive la corteccia visiva con strumenti di geometria differenziale e analisi in gruppi di Lie. È basato sulla modellazione di alcuni meccanismi neurali, ed in particolare sulla capacità delle cellule semplici di individuare in ogni punto la direzione dei bordi degli oggetti, e giustifica da un punto di vista microscopico, i fenomeni percettivi precedentemente descritti.
Referenze Bibliografiche
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