Calculus of Variations and Geometric Measure Theory
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G. Citti - A. Sarti

A cortical based model of perceptual completion in the rototraslation space

created by citti on 08 Nov 2004


Submitted Paper

Inserted: 8 nov 2004

Year: 2004


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.


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