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

Citti, G. and Sarti, A. (2004) A cortical based model of perceptual completion in the roto-translation space. [Preprint]
Full text available as:
[img]
Preview
PDF
Download (1MB) | Preview

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

Other metadata

Downloads

Downloads

Staff only: View the document

^