Journal article
Generalized Higher Degree Total Variation (HDTV) Regularization
IEEE transactions on image processing, Vol.23(6), pp.2423-2435
06/2014
DOI: 10.1109/TIP.2014.2315156
PMCID: PMC4411246
PMID: 24710832
Abstract
We introduce a family of novel image regularization penalties called generalized higher degree total variation (HDTV). These penalties further extend our previously introduced HDTV penalties, which generalize the popular total variation (TV) penalty to incorporate higher degree image derivatives. We show that many of the proposed second degree extensions of TV are special cases or are closely approximated by a generalized HDTV penalty. Additionally, we propose a novel fast alternating minimization algorithm for solving image recovery problems with HDTV and generalized HDTV regularization. The new algorithm enjoys a tenfold speed up compared with the iteratively reweighted majorize minimize algorithm proposed in a previous paper. Numerical experiments on 3D magnetic resonance images and 3D microscopy images show that HDTV and generalized HDTV improve the image quality significantly compared with TV.
Details
- Title: Subtitle
- Generalized Higher Degree Total Variation (HDTV) Regularization
- Creators
- Yue Hu - Sch. of Electron. & Inf. Eng., Harbin Inst. of Technol., Harbin, ChinaGreg Ongie - Dept. of Math., Univ. of Iowa, Iowa City, IA, USASathish Ramani - GE Global Res. Center, Niskayuna, NY, USAMathews Jacob - Dept. of Electr. & Comput. Eng., Univ. of Iowa, Iowa City, IA, USA
- Resource Type
- Journal article
- Publication Details
- IEEE transactions on image processing, Vol.23(6), pp.2423-2435
- DOI
- 10.1109/TIP.2014.2315156
- PMID
- 24710832
- PMCID
- PMC4411246
- NLM abbreviation
- IEEE Trans Image Process
- ISSN
- 1057-7149
- eISSN
- 1941-0042
- Publisher
- IEEE
- Grant note
- 1R21HL109710-01A1 / National Institutes of Health (10.13039/100000002)\nN000141310202 / Office of Naval Research (10.13039/100000006)\nCCF-0844812; 1116067 / National Science Foundation (10.13039/100000001)\nRSG-11-267-01-CCE / in part by American Cancer Society
- Language
- English
- Date published
- 06/2014
- Academic Unit
- Roy J. Carver Department of Biomedical Engineering; Radiology; Electrical and Computer Engineering; Iowa Neuroscience Institute; Radiation Oncology
- Record Identifier
- 9984070234602771
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