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On structured sparsity and selected applications in tomographic imaging

Aleksandra Pizurica (UGent) , Jan Aelterman (UGent) , Funing Bai (UGent) , Sam Vanloocke, Hiep Luong (UGent) , Bart Goossens (UGent) and Wilfried Philips (UGent)
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Abstract
This work explores the potentials of structure encoding in sparse tomographic reconstructions. We are encoding spatial structure with Markov Random Field (MRF) models and employ it within Magnetic Resonance Imaging (MRI) and Quantitative Microwave Tomography. We illustrate thereby also different ways of MRF modelling: as a discrete, binary field imposed on hidden labels and as a continuous model imposed on the observable field. In case of MRI, the analyzed approach is a straightforward extension of sparse MRI methods and is related to the so-called LaMP (Lattice Matching Pursuit) algorithm, but with a number of differences. In case of Microwave Tomography, we give another interpretation of structured sparsity using much different, but also effective approach. Thorough experiments demonstrate clear advantages of MRF based structure encoding in both cases and motivate strongly further development.
Keywords
Markov Random Field, Magnetic Resonance Imaging, RECONSTRUCTION, REGRESSION, SIGNAL RECOVERY, INVERSE PROBLEMS, ROBUST, MODEL, ALGORITHMS, MRI, structure, sparsity, Microwave Tomography

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Chicago
Pizurica, Aleksandra, Jan Aelterman, Funing Bai, Sam Vanloocke, Hiep Luong, Bart Goossens, and Wilfried Philips. 2011. “On Structured Sparsity and Selected Applications in Tomographic Imaging.” In Proceedings of Spie, the International Society for Optical Engineering, ed. Manos Papadakis, Dimitri Van De Ville, and Vivek K Goyal, 8138:81381D–1–81381D–12. Bellingham, WA, USA: SPIE.
APA
Pizurica, A., Aelterman, J., Bai, F., Vanloocke, S., Luong, H., Goossens, B., & Philips, W. (2011). On structured sparsity and selected applications in tomographic imaging. In M. Papadakis, D. Van De Ville, & V. K. Goyal (Eds.), PROCEEDINGS OF SPIE, THE INTERNATIONAL SOCIETY FOR OPTICAL ENGINEERING (Vol. 8138, pp. 81381D–1–81381D–12). Presented at the Conference on Wavelets and Sparsity XIV, Bellingham, WA, USA: SPIE.
Vancouver
1.
Pizurica A, Aelterman J, Bai F, Vanloocke S, Luong H, Goossens B, et al. On structured sparsity and selected applications in tomographic imaging. In: Papadakis M, Van De Ville D, Goyal VK, editors. PROCEEDINGS OF SPIE, THE INTERNATIONAL SOCIETY FOR OPTICAL ENGINEERING. Bellingham, WA, USA: SPIE; 2011. p. 81381D–1–81381D–12.
MLA
Pizurica, Aleksandra, Jan Aelterman, Funing Bai, et al. “On Structured Sparsity and Selected Applications in Tomographic Imaging.” Proceedings of Spie, the International Society for Optical Engineering. Ed. Manos Papadakis, Dimitri Van De Ville, & Vivek K Goyal. Vol. 8138. Bellingham, WA, USA: SPIE, 2011. 81381D–1–81381D–12. Print.
@inproceedings{2034392,
  abstract     = {This work explores the potentials of structure encoding in sparse tomographic reconstructions. We are encoding spatial structure with Markov Random Field (MRF) models and employ it within Magnetic Resonance Imaging (MRI) and Quantitative Microwave Tomography. We illustrate thereby also different ways of MRF modelling: as a discrete, binary field imposed on hidden labels and as a continuous model imposed on the observable field. In case of MRI, the analyzed approach is a straightforward extension of sparse MRI methods and is related to the so-called LaMP (Lattice Matching Pursuit) algorithm, but with a number of differences. In case of Microwave Tomography, we give another interpretation of structured sparsity using much different, but also effective approach. Thorough experiments demonstrate clear advantages of MRF based structure encoding in both cases and motivate strongly further development.},
  articleno    = {81381D},
  author       = {Pizurica, Aleksandra and Aelterman, Jan and Bai, Funing and Vanloocke, Sam and Luong, Hiep and Goossens, Bart and Philips, Wilfried},
  booktitle    = {PROCEEDINGS OF SPIE, THE INTERNATIONAL SOCIETY FOR OPTICAL ENGINEERING},
  editor       = {Papadakis, Manos and Van De Ville, Dimitri and Goyal, Vivek K},
  isbn         = {9780819487483},
  issn         = {0277-786X},
  language     = {eng},
  location     = {San Diego, CA, USA},
  pages        = {81381D:81381D-1--81381D:81381D-12},
  publisher    = {SPIE},
  title        = {On structured sparsity and selected applications in tomographic imaging},
  url          = {http://dx.doi.org/10.1117/12.893784},
  volume       = {8138},
  year         = {2011},
}

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