Conference proceeding
A unified energy minimization framework for nonlocal regularization
2011 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, pp.1150-1153
03/2011
DOI: 10.1109/ISBI.2011.5872605
Abstract
We introduce a unifying framework for the non-local regularization of biomedical inverse problems. We choose the regularization functional as the sum of distances between pairs of patches in the image. We introduce a novel majorize minimize algorithm to minimize the proposed criterion. We observe that the first iteration of the algorithm to be very similar to the classical non-local regularization schemes. In addition to providing a novel interpretation for heuristic iterative nonlocal regularization schemes, the proposed scheme enables us to develop efficient optimization algorithms, design novel non-local schemes by choosing the distance metric, and minimize local minima problems. We demonstrate the benefits of the unified framework in deblurring and compressed sensing.
Details
- Title: Subtitle
- A unified energy minimization framework for nonlocal regularization
- Creators
- Zhili Yang - Dept. of Biomed. Eng., Univ. of Rochester, Rochester, NY, USAMathews Jacob - Dept. of Biomed. Eng., Univ. of Rochester, Rochester, NY, USA
- Resource Type
- Conference proceeding
- Publication Details
- 2011 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, pp.1150-1153
- Publisher
- IEEE
- DOI
- 10.1109/ISBI.2011.5872605
- ISSN
- 1945-7928
- eISSN
- 1945-8452
- Language
- English
- Date published
- 03/2011
- Academic Unit
- Iowa Neuroscience Institute; Radiation Oncology; Electrical and Computer Engineering; Roy J. Carver Department of Biomedical Engineering; Radiology
- Record Identifier
- 9984070974702771
Metrics
11 Record Views