We extend to a Engel type structure a cortically inspired model of perceptual completion initially proposed in the Lie group of positions and orientations with a sub-Riemannian metric. According to this model, a given image is lifted in the group and completed by a minimal surface. The main obstacle in extending the model to a higher dimensional group, which can code also curvatures, is the lack of a good definition of codimension 2 minimal surface. We present here this notion, and describe an application to image completion.

Submanifolds of Fixed Degree in Graded Manifolds for Perceptual Completion

Citti G.;
2021

Abstract

We extend to a Engel type structure a cortically inspired model of perceptual completion initially proposed in the Lie group of positions and orientations with a sub-Riemannian metric. According to this model, a given image is lifted in the group and completed by a minimal surface. The main obstacle in extending the model to a higher dimensional group, which can code also curvatures, is the lack of a good definition of codimension 2 minimal surface. We present here this notion, and describe an application to image completion.
2021
GSI 2021: Geometric Science of Information
47
55
Citti G.; Giovannardi G.; Ritore M.; Sarti A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/880683
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