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Highly corrupted image inpainting through hypoelliptic diffusion

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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Contributor : Dario Prandi <>
Submitted on : Saturday, March 4, 2017 - 11:19:42 PM
Last modification on : Friday, January 1, 2021 - 4:02:05 PM
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  • HAL Id : hal-01139521, version 1
  • ARXIV : 1502.07331



Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier, Dario Prandi, Alexey Remizov. Highly corrupted image inpainting through hypoelliptic diffusion. 2015. ⟨hal-01139521v1⟩



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