Abstract

In this paper, we focus on the restoration of images that are simultaneously blurred and corrupted by multiplicative noise. First, we introduce a variational restoration model consisting of the convex data-fitting term and the Gaussian curvature of the image as a regularizer to remove multiplicative Gamma noise because it is able to eliminate staircase effects while preserving sharp edges, textures, and other fine structures of the image. We then propose computing the minimizers of our restoration functionals by applying the augmented Lagrange multiplier method with splitting techniques. The numerical results in this paper show that our method has the potential to outperform other approaches in multiplicative noise removal with simultaneous deblurring.

© 2018 Optical Society of America

Full Article  |  PDF Article
More Like This
High-order total variation-based multiplicative noise removal with spatially adapted parameter selection

Jun Liu, Ting-Zhu Huang, Zongben Xu, and Xiao-Guang Lv
J. Opt. Soc. Am. A 30(10) 1956-1966 (2013)

Hybrid high-order nonlocal gradient sparsity regularization for Poisson image deconvolution

Tao He, Jie Hu, and Haiqing Huang
Appl. Opt. 57(35) 10243-10256 (2018)

Selection of regularization parameter in total variation image restoration

Haiyong Liao, Fang Li, and Michael K. Ng
J. Opt. Soc. Am. A 26(11) 2311-2320 (2009)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (10)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (4)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (44)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription