A wavelet-laplace variational technique for image deconvolution and inpainting

被引：111

作者：

Dobrosotskaya, Julia A. ^{[1
]}

Bertozzi, Andrea L. ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

IEEE TRANSACTIONS ON IMAGE PROCESSING | 2008年 / 17卷 / 05期

基金：

美国国家科学基金会;

关键词：

barcode; binary image; inpainting; wavelet diffusion;

D O I：

10.1109/TIP.2008.919367

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We construct a new variational method for blind deconvolution of images and inpainting, motivated by recent PDE-based techniques involving the Ginzburg-Landau functional, but using more localized wavelet-based methods. We present results for both binary and grayscale images. Comparable speeds are achieved with better sharpness of edges in the reconstruction.

引用

页码：657 / 663

页数：7

共 32 条

[1]

[Anonymous], 1999, WAVELET TOUR SIGNAL

[2] Simultaneous structure and texture image inpainting [J].

Bertalmio, M ;

Vese, L ;

Sapiro, G ;

Osher, S .

IEEE TRANSACTIONS ON IMAGE PROCESSING, 2003, 12 (08) :882-889

[3] Image inpainting [J].

Bertalmio, M ;

Sapiro, G ;

Caselles, V ;

Ballester, C .

SIGGRAPH 2000 CONFERENCE PROCEEDINGS, 2000, :417-424

[4]

Bertalmio M., 2001, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001, V1, pI, DOI DOI 10.1109/CVPR.2001.990497

[5] Inpainting of binary images using the Cahn-Hilliard equation [J].

Bertozzi, Andrea L. ;

Esedoglu, Selim ;

Gillette, Alan .

IEEE TRANSACTIONS ON IMAGE PROCESSING, 2007, 16 (01) :285-291

[6] MOTION BY MEAN-CURVATURE AS THE SINGULAR LIMIT OF GINZBURG-LANDAU DYNAMICS [J].

BRONSARD, L ;

KOHN, RV .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 90 (02) :211-237

[7] Image recovery via total variation minimization and related problems [J].

Chambolle, A ;

Lions, PL .

NUMERISCHE MATHEMATIK, 1997, 76 (02) :167-188

[8] Nonlinear wavelet image processing: Variational problems, compression, and noise removal through wavelet shrinkage [J].

Chambolle, A ;

DeVore, RA ;

Lee, NY ;

Lucier, BJ .

IEEE TRANSACTIONS ON IMAGE PROCESSING, 1998, 7 (03) :319-335

[9]

Chan T. F., 2005, SIAM

[10] Mathematical models for local nontexture inpaintings [J].

Chan, TF ;

Shen, JH .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2002, 62 (03) :1019-1043

← 1 2 3 4 →