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New insights in huber and TV-like regularizers in microwave imaging

Funing Bai (UGent) , Aleksandra Pizurica (UGent) , Ann Franchois (UGent) and Wilfried Philips (UGent)
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Abstract
In this paper we give new insights into quantitative microwave tomography with robust Huber regularizer and Gauss-Newton optimization. Firstly, we validate this approach for the first time on real electromagnetic measurements. Secondly, we extend the framework with a modified Huber function, which behaves like TV regularization. This is interesting for reconstructing piece-wise constant permittivities that appear in non-destructive testing of installations and other man-made objects.
Keywords
sparsity, inverse problem, inverse scattering, Huber function, microwave imaging, ELECTROMAGNETIC INVERSE SCATTERING

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Chicago
Bai, Funing, Aleksandra Pizurica, Ann Franchois, and Wilfried Philips. 2013. “New Insights in Huber and TV-like Regularizers in Microwave Imaging.” In IEEE International Conference on Image Processing ICIP, 1026–1030. Piscataway, NJ, USA: IEEE.
APA
Bai, F., Pizurica, A., Franchois, A., & Philips, W. (2013). New insights in huber and TV-like regularizers in microwave imaging. IEEE International Conference on Image Processing ICIP (pp. 1026–1030). Presented at the 20th IEEE International Conference on Image Processing (ICIP), Piscataway, NJ, USA: IEEE.
Vancouver
1.
Bai F, Pizurica A, Franchois A, Philips W. New insights in huber and TV-like regularizers in microwave imaging. IEEE International Conference on Image Processing ICIP. Piscataway, NJ, USA: IEEE; 2013. p. 1026–30.
MLA
Bai, Funing, Aleksandra Pizurica, Ann Franchois, et al. “New Insights in Huber and TV-like Regularizers in Microwave Imaging.” IEEE International Conference on Image Processing ICIP. Piscataway, NJ, USA: IEEE, 2013. 1026–1030. Print.
@inproceedings{3206853,
  abstract     = {In this paper we give new insights into quantitative microwave tomography with robust Huber regularizer and Gauss-Newton optimization. Firstly, we validate this approach for the first time on real electromagnetic measurements. Secondly, we extend the framework with a modified Huber function, which behaves like TV regularization. This is interesting for reconstructing piece-wise constant permittivities that appear in non-destructive testing of installations and other man-made objects.},
  author       = {Bai, Funing and Pizurica, Aleksandra and Franchois, Ann and Philips, Wilfried},
  booktitle    = {IEEE International Conference on Image Processing ICIP},
  isbn         = {9781479923410},
  issn         = {1522-4880},
  keyword      = {sparsity,inverse problem,inverse scattering,Huber function,microwave imaging,ELECTROMAGNETIC INVERSE SCATTERING},
  language     = {eng},
  location     = {Melbourne, Australia},
  pages        = {1026--1030},
  publisher    = {IEEE},
  title        = {New insights in huber and TV-like regularizers in microwave imaging},
  year         = {2013},
}

Web of Science
Times cited: