#### Title

A Block Components Average Algorithm for Compressed Sensing Based Tomography

#### Document Type

Article

#### Publication Date

5-16-2011

#### Publication Title

Proceedings of the International Symposium on Photonics and Optoelectronics

#### DOI

10.1109/SOPO.2011.5780399

#### ISBN

978-1-4244-6554-5

#### ISSN

2156-8480

#### Abstract

The constrained total variation minimization has been developed successfully for image reconstruction in computerized tomography. The convergence of the block cyclic projection and Cimmino algorithms for compressed sensing based tomography have been proved recently. In this paper, a block component averaging algorithm incorporation to the total variation minimization in the compressed sensing framework is proposed. The convergence of the new algorithm is derived in certain case. An example is given to illustrate its convergence behavior.

#### Recommended Citation

Li, Xiezhang, Jiehua Zhu.
2011.
"A Block Components Average Algorithm for Compressed Sensing Based Tomography."
*Proceedings of the International Symposium on Photonics and Optoelectronics*: 1-4 Wuhan, China: IEEE.
doi: 10.1109/SOPO.2011.5780399 isbn: 978-1-4244-6554-5

https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/262