Weak solutions of a parabolic-elliptic type system for image inpainting

Zhengmeng Jin; Xiaoping Yang

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 16, Issue: 4, page 1040-1052
  • ISSN: 1292-8119

Abstract

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In this paper we consider the initial boundary value problem of a parabolic-elliptic system for image inpainting, and establish the existence and uniqueness of weak solutions to the system in dimension two.

How to cite

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Jin, Zhengmeng, and Yang, Xiaoping. "Weak solutions of a parabolic-elliptic type system for image inpainting." ESAIM: Control, Optimisation and Calculus of Variations 16.4 (2010): 1040-1052. <http://eudml.org/doc/250734>.

@article{Jin2010,
abstract = { In this paper we consider the initial boundary value problem of a parabolic-elliptic system for image inpainting, and establish the existence and uniqueness of weak solutions to the system in dimension two. },
author = {Jin, Zhengmeng, Yang, Xiaoping},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Weak solutions; parabolic-elliptic system; image inpainting; weak solutions; image inpainting; initial boundary value problem; existence and uniqueness},
language = {eng},
month = {10},
number = {4},
pages = {1040-1052},
publisher = {EDP Sciences},
title = {Weak solutions of a parabolic-elliptic type system for image inpainting},
url = {http://eudml.org/doc/250734},
volume = {16},
year = {2010},
}

TY - JOUR
AU - Jin, Zhengmeng
AU - Yang, Xiaoping
TI - Weak solutions of a parabolic-elliptic type system for image inpainting
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/10//
PB - EDP Sciences
VL - 16
IS - 4
SP - 1040
EP - 1052
AB - In this paper we consider the initial boundary value problem of a parabolic-elliptic system for image inpainting, and establish the existence and uniqueness of weak solutions to the system in dimension two.
LA - eng
KW - Weak solutions; parabolic-elliptic system; image inpainting; weak solutions; image inpainting; initial boundary value problem; existence and uniqueness
UR - http://eudml.org/doc/250734
ER -

References

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  11. J.L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaries. Dunod (1969).  
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  13. P. Perona and J. Malik, Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Machine Intell.12 (1990) 629–639.  
  14. X.C. Tai, S. Osher and R. Holm, Image inpainting using a TV-Stokes equation, in Image Processing based on partial differential equations, X.C. Tai, K.-A. Lie, T.F. Chan and S. Osher Eds., Springer, Heidelberg (2007) 3–22.  

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