Highly Corrupted Image Inpainting Through Hypoelliptic Diffusion

被引：8

作者：

Boscain, Ugo V. ^{[1
,2
]}

Chertovskih, Roman ^{[3
,4
]}

Gauthier, Jean-Paul ^{[5
]}

Prandi, Dario ^{[6
]}

Remizov, Alexey O. ^{[7
]}

机构：

[1] UPMC Univ Paris 06, CNRS, Lab Jacques Louis Lions, F-75005 Paris, France

[2] INRIA, INRIA Team CAGE, Paris, France

[3] Univ Porto, Res Ctr Syst & Technol, Fac Engn, Rua Dr Roberto Frias S-N, P-4200465 Porto, Portugal

[4] Samara Natl Res Univ, 34 Moskovskoye Ave, Samara 443086, Russia

[5] Univ Toulon USTV, LSIS, UMR CNRS 7296, F-83957 La Garde, France

[6] Cent Supelec, CNRS, L2S, 3 Rue Joliot Curie, F-91192 Gif Sur Yvette, France

[7] CMAP Ecole Polytech, CNRS, F-91128 Palaiseau, France

来源：

JOURNAL OF MATHEMATICAL IMAGING AND VISION | 2018年 / 60卷 / 08期

基金：

欧洲研究理事会;

关键词：

Image reconstruction; Inpainting; Sub-Riemannian hypoelliptic diffusion; INVARIANT PARABOLIC EVOLUTIONS; INVERTIBLE ORIENTATION SCORES; CONTOUR ENHANCEMENT; RECONSTRUCTION; FRAMEWORK; EQUATIONS; FIELDS; SE(2);

D O I：

10.1007/s10851-018-0810-4

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We present a new biomimetic image inpainting algorithm, the Averaging and Hypoelliptic Evolution (AHE) algorithm, inspired by the one presented in Boscain et al. (SIAM J. Imaging Sci. 7(2):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 highly corrupted images (i.e., where more than the 80% of the image is missing), for which we obtain high-quality reconstructions.

引用

页码：1231 / 1245

页数：15

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