Conference proceeding
Higher degree total variation for 3-D image recovery
2014 IEEE 11th International Symposium on Biomedical Imaging (ISBI), pp.1003-1006
04/2014
DOI: 10.1109/ISBI.2014.6868042
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.
Details
- Title: Subtitle
- Higher degree total variation for 3-D image recovery
- Creators
- Greg Ongie - Dept. of Math., Univ. of Iowa, Iowa City, IA, USAYue Hu - Dept. of Electr. & Comput. Eng., Univ. of Rochester, Rochester, NY, USAMathews Jacob - Dept. of Electr. & Comput. Eng., Univ. of Iowa, Iowa City, IA, USA
- Resource Type
- Conference proceeding
- Publication Details
- 2014 IEEE 11th International Symposium on Biomedical Imaging (ISBI), pp.1003-1006
- DOI
- 10.1109/ISBI.2014.6868042
- ISSN
- 1945-7928
- eISSN
- 1945-8452
- Publisher
- IEEE
- Language
- English
- Date published
- 04/2014
- Academic Unit
- Roy J. Carver Department of Biomedical Engineering; Radiology; Electrical and Computer Engineering; Iowa Neuroscience Institute; Radiation Oncology
- Record Identifier
- 9984070710902771
Metrics
15 Record Views