A cortical based model of perceptual completion in the roto-translation space

Citti, G. ; Sarti, A. (2004) A cortical based model of perceptual completion in the roto-translation space. [Preprint]
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Abstract

We present a mathematical model of perceptual completion and formation of subjective surfaces, which is at the same time inspired by the architecture of the visual cortex, and is the lifting in the 3-dimensional rototranslation group of the phenomenological variational models based on elastica functional. The initial image is lifted by the simple cells to a surface in the rototraslation group and the completion process is modelled via a diffusion driven motion by curvature. The convergence of the motion to a minimal surface is proved. Results are presented both for modal and amodal completion in classic Kanizsa images.

Abstract
Tipologia del documento
Preprint
Autori
AutoreAffiliazioneORCID
Citti, G.
Sarti, A.
Settori scientifico-disciplinari
DOI
Data di deposito
17 Giu 2004
Ultima modifica
16 Mag 2011 11:36
URI

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