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; Giovannardi, G; Ritore, M; Sarti, A. - ELETTRONICO. - 12829:(2021), pp. 47-55. (Intervento presentato al convegno 5th International Conference, GSI 2021 tenutosi a Paris, France nel July 21–23, 2021) [10.1007/978-3-030-80209-7_6].
Submanifolds of Fixed Degree in Graded Manifolds for Perceptual Completion
Giovannardi, 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.File | Dimensione | Formato | |
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