A wavelet-laplace variational technique for image deconvolution and inpainting

被引:107
作者
Dobrosotskaya, Julia A. [1 ]
Bertozzi, Andrea L. [1 ]
机构
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
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
收藏
页码:657 / 663
页数:7
相关论文
共 32 条
  • [1] [Anonymous], 1999, WAVELET TOUR SIGNAL
  • [2] Simultaneous structure and texture image inpainting
    Bertalmio, M
    Vese, L
    Sapiro, G
    Osher, S
    [J]. IEEE TRANSACTIONS ON IMAGE PROCESSING, 2003, 12 (08) : 882 - 889
  • [3] Image inpainting
    Bertalmio, M
    Sapiro, G
    Caselles, V
    Ballester, C
    [J]. 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
    Bertozzi, Andrea L.
    Esedoglu, Selim
    Gillette, Alan
    [J]. IEEE TRANSACTIONS ON IMAGE PROCESSING, 2007, 16 (01) : 285 - 291
  • [6] MOTION BY MEAN-CURVATURE AS THE SINGULAR LIMIT OF GINZBURG-LANDAU DYNAMICS
    BRONSARD, L
    KOHN, RV
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 90 (02) : 211 - 237
  • [7] Image recovery via total variation minimization and related problems
    Chambolle, A
    Lions, PL
    [J]. NUMERISCHE MATHEMATIK, 1997, 76 (02) : 167 - 188
  • [8] Nonlinear wavelet image processing: Variational problems, compression, and noise removal through wavelet shrinkage
    Chambolle, A
    DeVore, RA
    Lee, NY
    Lucier, BJ
    [J]. IEEE TRANSACTIONS ON IMAGE PROCESSING, 1998, 7 (03) : 319 - 335
  • [9] Chan T. F., 2005, SIAM
  • [10] Mathematical models for local nontexture inpaintings
    Chan, TF
    Shen, JH
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2002, 62 (03) : 1019 - 1043