Inpainting in discrete Sobolev spaces: structural information for uncertainty reduction

Marco Seracini; Stephen R. Brown

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arXiv · 2211.03711

Inpainting in discrete Sobolev spaces: structural information for uncertainty reduction

Marco Seracini·Stephen R. Brown

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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.

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Marco Seracini, Stephen R. Brown. 2022-11-07. Inpainting in discrete Sobolev spaces: structural information for uncertainty reduction. https://arxiv.org/abs/2211.03711

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