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Inpainting in discrete Sobolev spaces: structural information for uncertainty reduction

2022-11-07 17:37:14
Marco Seracini, Stephen R. Brown
arXiv_CV
     
Abstract

In this article, using an exemplar-based approach, we investigate the inpainting problem, introducing a new mathematical functional, whose minimization determines the quality of the reconstructions. The new functional expression takes into account of fnite differences terms, in a similar fashion to what happens in the theoretical Sobolev spaces. Moreover, we introduce a new priority index to determine the scanning order of the points to inpaint, prioritizing the uncertainty reduction in the choice. The achieved results highlight important theoretical-connected aspects of the inpainting by patch procedure.

Abstract (translated)

URL

https://arxiv.org/abs/2211.03711

PDF

https://arxiv.org/pdf/2211.03711.pdf

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