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arXiv · 1502.07331

Highly corrupted image inpainting through hypoelliptic diffusion

Ugo Boscain·Roman Chertovskih·Jean-Paul Gauthier·Dario Prandi·Alexey Remizov
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Abstract

We present a new image inpainting algorithm, the Averaging and Hypoelliptic Evolution (AHE) algorithm, inspired by the one presented in [SIAM J. Imaging Sci., vol. 7, no. 2, pp. 669--695, 2014] and based upon a semi-discrete variation of the Citti-Petitot-Sarti model of the primary visual cortex V1. The AHE algorithm is based on a suitable combination of sub-Riemannian hypoelliptic diffusion and ad-hoc local averaging techniques. In particular, we focus on reconstructing highly corrupted images (i.e. where more than the 80% of the image is missing), for which we obtain reconstructions comparable with the state-of-the-art.

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Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier, Dario Prandi, Alexey Remizov. 2015-02-25. Highly corrupted image inpainting through hypoelliptic diffusion. https://doi.org/10.1007/s10851-018-0810-4

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