全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

原对偶积极集法求解改进的有界约束图像恢复问题

DOI: 10.11834/jig.20090309

Keywords: 图像恢复,有界约束,原对偶积极集方法,正则化方法

Full-Text   Cite this paper   Add to My Lib

Abstract:

为了提高模糊加噪声图像的恢复质量,提出了一种用于图像恢复处理的改进的带约束的正则化模型。该模型首先利用Levine等人提出的变指数、线性增长函数作为正则项,并根据图像局部特征选择合适的正则参数,这样既保留了总变差正则化方法在恢复图像边缘方面的优势,又减少了梯子现象;其次,为进一步提高恢复图像的质量,在此基础上再添加有界约束条件,如将灰度值固定在某范围内,以形成约束优化问题。由于它的求解相对复杂,为此可应用原对偶积极集法求解,其实质就是用半光滑Newton法来求解由约束优化问题转化所得到的方程组。数值实验表明,此方法是可行的和有效的。

References

[1]  Rudin Leonid I, Osher Stanley, Fatemi Emad. Nonlinear total variation based noise removal algorithms [J] . Physica D, 1992, 60(1-4) :259-268.
[2]  Chan Tony F, Esedoglu Selim, Park Frederick E. A Fourth Order Dual Method for Staircase Reduction in Texture Extraction and Image Restoration Problems [R]. Technical Reports : 05- 28, University of California, Los Angeles, CA, USA.
[3]  Bardsley Johnathan M, Vogel Curtis R. A nonnegatively constrained convex programming method for image reconstruction [J]. SIAM Journal of Computed Science, 2004,25 (4) : 1326-1343.
[4]  Krishnan D, Lin Ping, Yip Andy M. A Primal-dual Active-set Method for Nonnegativity Constrained Total Variation Deblurring Problems[R]. Technical Reports: 07- 03, University of California, Los Angeles, CA, USA. 2007
[5]  Zheng Hong-wei, Hellwich Olaf. Adaptive data-driven regularization for variational image restoration in the BV space [ A ] . In: International Conference on Computer Vision Theory and Applications [C] , Barcelona Spain, 2007.
[6]  Chan Tony F, Golub Gene H, Mulet Pep. A nonlinear primal-dual method for total variation based image restoration[J]. SIAM Journal of Computed Science, 1999,20(6) : 1964-1977.
[7]  Chambolle Antomin, Lions P Louis. Image recovery via total variation minimization and related problems [J]. Numerical Mathematics, 1997,76(2) : 167-188.
[8]  Blomgren Peter, Chan Tony F, Mulet Pep,et al. Total variation image restoration: Numerical methods and extensions[ A]. In: Proceedings of 1997 IEEE International Conference on Image Processing Ⅲ [C], Santa Babara, CA,USA, 1997: 354-387.
[9]  Levine Stacey, Stanich John, Chert Yum-mei. Image Restoration Via Nonstandard Diffusion [R]. Technical Reports: 04-01, Duquesne University, Pittsburge Pennsylvania, USA.
[10]  Hanke Martin, Nagy James, Vogel Curtis R. Quasi-Newton approach to nonnegative image restoration [J]. Linear Algebra and its Applications,2000,316( 1 ) : 223-236.
[11]  Chen Yun-mei, Levine Stacey, Rao Murali. Variable exponent,linear growth functionals in imgae restoration. SIAM [J]. Journal of Applied, 2006,66 ( 4 ) : 1383-1406.
[12]  Strong David, Blomgren Peter,Chan Tony F. Spatially Adaptive Local Feature Driven Total Variation Minimizing Image Restoration [R]. Technical Reports: 97-32, University of California, Los Angeles, CA, USA. 1997.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133