Higher degree total variation for 3-D image recovery

Author

Ongie, Greg ; Yue Hu ; Jacob, Mathews

Author_Institution

Dept. of Math., Univ. of Iowa, Iowa City, IA, USA

fYear

2014

fDate

April 29 2014-May 2 2014

Firstpage

1003

Lastpage

1006

Abstract

We extend the novel higher degree total variation (HDTV) image regularization penalties to 3-D signals. These penalties generalize the popular total variation (TV) penalty to incorporate higher degree image derivatives. We adapt a fast alternating minimization algorithm designed for solving 2-D image recovery problems with HDTV regularization to the 3D setting. Numerical experiments on the compressed sensing recovery of 3-D magnetic resonance images show that HDTV and generalized HDTV improve the image quality significantly compared with TV. We also investigate the relationship between the recently introduced Hessian Schatten-norms and HDTV.

Keywords

biomedical MRI; compressed sensing; medical image processing; minimisation; 3-D image recovery; HDTV image regularization penalties; Hessian Schatten-norms; MR image; compressed sensing recovery; fast alternating minimization algorithm; higher degree total variation; image quality; magnetic resonance images; popular total variation penalty; Algorithm design and analysis; Approximation methods; Compressed sensing; HDTV; Image reconstruction; Signal to noise ratio; 3-D image restoration; Higher degree total variation; compressed sensing;

fLanguage

English

Publisher

ieee

Conference_Titel

Biomedical Imaging (ISBI), 2014 IEEE 11th International Symposium on

Conference_Location

Beijing

Type

conf

DOI

10.1109/ISBI.2014.6868042

Filename

6868042