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Journal Articles Journal of Mathematical Imaging and Vision Year : 2018

Highly corrupted image inpainting through hypoelliptic diffusion

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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 [1] and based upon a (semi-discrete) variation of the Citti--Petitot--Sarti model of the primary visual cortex V1. In particular, we focus on reconstructing highly corrupted images (i.e. where more than the 80% of the image is missing). [1] U. Boscain, R. A. Chertovskih, J. P. Gauthier, and A. O. Remizov, Hypoelliptic diffusion and human vision: a semidiscrete new twist, SIAM J. Imaging Sci., vol. 7, no. 2, pp. 669--695, 2014.
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Dates and versions

hal-01139521 , version 1 (04-03-2017)
hal-01139521 , version 2 (08-06-2018)

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Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier, Dario Prandi, Alexey Remizov. Highly corrupted image inpainting through hypoelliptic diffusion. Journal of Mathematical Imaging and Vision, 2018, pp.1-15. ⟨10.1007/s10851-018-0810-4⟩. ⟨hal-01139521v2⟩
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