Diagonal total variation regularization criterion for fast convergence

Author

Kiriyama, Satoshi ; Usui, Tomoyuki ; Goto, Tomio ; Hirano, Satoshi ; Sakurai, Masaru ; Saito, Takahiro

Author_Institution

Dept. of Electr. & Electron. Eng., Nagoya Inst. of Technol., Nagoya, Japan

fYear

2010

fDate

23-25 Nov. 2010

Firstpage

1494

Lastpage

1498

Abstract

The total variation (TV) regularization method is very attractive for various image processing applications. In order to apply the TV approach to motion pictures, it is required to reduce the computational time of the iterative signal processing of the TV regularization. In this paper, we propose the diagonal TV criterion instead of conventional isotropic or anisotropic TV criteria. The experimental results show that we can obtain almost half of the iteration number both in the steepest descent algorithm and Chambolle´s algorithm by utilizing the diagonal TV compared with the conventional TV criteria.

Keywords

convergence; gradient methods; image motion analysis; Chambolle algorithm; TV regularization method; anisotropic TV criteria; diagonal total variation regularization criterion method; image processing; isotropic TV criteria; iterative signal processing; motion pictures; steepest descent algorithm; Convergence; Image processing; Noise reduction; Signal processing; Signal processing algorithms; TV; Transform coding;

fLanguage

English

Publisher

ieee

Conference_Titel

Audio Language and Image Processing (ICALIP), 2010 International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4244-5856-1

Type

conf

DOI

10.1109/ICALIP.2010.5684529

Filename

5684529