A PDE approach to image restoration problem with observation on a meager domain

被引：17

作者：

Barbu, Tudor ^{[2
]}

Barbu, Viorel ^{[1
]}

机构：

[1] Romanian Acad, Inst Math, Iasi, Romania

[2] Romanian Acad, Inst Comp Sci, Iasi, Romania

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 03期

关键词：

Image restoration; PDE-based approach; lnpainting techniques; Sobolev space; Minimization problem; Scale space model; VARIATIONAL MODEL; EDGE-DETECTION; DIFFUSION; SPACE;

D O I：

10.1016/j.nonrwa.2011.09.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present here a new nonlinear PDE approach to image restoration (the inpainting problem) using a meager blurred image or a finite number of observation points. To this end, one uses a least square approach with the H-1 distributional metric. Some important theoretical and numerical results are provided in this paper. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1206 / 1215

页数：10

共 27 条

[1]

[Anonymous], IMAGE PROCESSING ANA

[2]

[Anonymous], 2002, Level Set Methods and Dynamic Implicit Surfaces

[3] A PDE variational approach to image denoising and restoration [J].