A Block Components Average Algorithm for Compressed Sensing Based Tomography

Xiezhang Li; Jiehua Zhu

doi:10.1109/SOPO.2011.5780399

A Block Components Average Algorithm for Compressed Sensing Based Tomography

Xiezhang Li, Jiehua Zhu

Mathematical Sciences

Georgia Southern University

Research output: Contribution to book or proceeding › Chapter

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.

Original language	American English
Title of host publication	Proceedings of the International Symposium on Photonics and Optoelectronics
DOIs	https://doi.org/10.1109/SOPO.2011.5780399
State	Published - May 16 2011

Disciplines

Mathematics

Keywords

Cimmino algorithms
block component average algorithm
block cyclic projection
compressed sensing
computerized tomography
constrained total variation minimization
image reconstruction
total convergence

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10.1109/SOPO.2011.5780399License: Unspecified

Cite this

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title = "A Block Components Average Algorithm for Compressed Sensing Based Tomography",

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.",

keywords = "Cimmino algorithms, block component average algorithm, block cyclic projection, compressed sensing, computerized tomography, constrained total variation minimization, image reconstruction, total convergence",

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N2 - 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.

AB - 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.

KW - Cimmino algorithms

KW - block component average algorithm

KW - block cyclic projection

KW - compressed sensing

KW - computerized tomography

KW - constrained total variation minimization

KW - image reconstruction

KW - total convergence

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DO - 10.1109/SOPO.2011.5780399

M3 - Chapter

BT - Proceedings of the International Symposium on Photonics and Optoelectronics

ER -

A Block Components Average Algorithm for Compressed Sensing Based Tomography

Abstract

Disciplines

Keywords

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