Semisoft Generalized Total Variation Minimization for Image Reconstruction in Computed Tomography

Xiezhang Li; Fangjun Arroyo; Jiehua Zhu; Jianing Sun

doi:10.1109/ACCESS.2017.2692245

Semisoft Generalized Total Variation Minimization for Image Reconstruction in Computed Tomography

Xiezhang Li, Fangjun Arroyo, Jiehua Zhu, Jianing Sun

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The generalized l₁ greedy algorithm was recently proposed and shown to outperform the standard reweighted l₁-minimization and l₁-greedy algorithms for image reconstruction in computed tomography (CT). Herein, this algorithm is extended as a semisoft generalized l₁ greedy algorithm by adapting the wavelet technique of semisoft thresholding. The extended algorithm can also be applied to image reconstruction by incorporating it into the BCPCS framework, resulting in a semisoft generalized total variation minimization (SSGTV) algorithm for CT. Numerical tests indicate that the proposed SSGTV algorithm improves the image reconstruction for CT.

Original language	English
Article number	7909042
Pages (from-to)	8475-8481
Number of pages	7
Journal	IEEE Access
Volume	5
DOIs	https://doi.org/10.1109/ACCESS.2017.2692245
State	Published - 2017

Keywords

Generalized l greedy algorithm
reweighted l-minimization
semisoft thresholding
total variation

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10.1109/ACCESS.2017.2692245

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title = "Semisoft Generalized Total Variation Minimization for Image Reconstruction in Computed Tomography",

abstract = "The generalized l1 greedy algorithm was recently proposed and shown to outperform the standard reweighted l1-minimization and l1-greedy algorithms for image reconstruction in computed tomography (CT). Herein, this algorithm is extended as a semisoft generalized l1 greedy algorithm by adapting the wavelet technique of semisoft thresholding. The extended algorithm can also be applied to image reconstruction by incorporating it into the BCPCS framework, resulting in a semisoft generalized total variation minimization (SSGTV) algorithm for CT. Numerical tests indicate that the proposed SSGTV algorithm improves the image reconstruction for CT.",

keywords = "Generalized l greedy algorithm, reweighted l-minimization, semisoft thresholding, total variation",

author = "Xiezhang Li and Fangjun Arroyo and Jiehua Zhu and Jianing Sun",

note = "Publisher Copyright: {\textcopyright} 2013 IEEE.",

year = "2017",

doi = "10.1109/ACCESS.2017.2692245",

language = "English",

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AU - Li, Xiezhang

AU - Arroyo, Fangjun

AU - Zhu, Jiehua

AU - Sun, Jianing

PY - 2017

Y1 - 2017

N2 - The generalized l1 greedy algorithm was recently proposed and shown to outperform the standard reweighted l1-minimization and l1-greedy algorithms for image reconstruction in computed tomography (CT). Herein, this algorithm is extended as a semisoft generalized l1 greedy algorithm by adapting the wavelet technique of semisoft thresholding. The extended algorithm can also be applied to image reconstruction by incorporating it into the BCPCS framework, resulting in a semisoft generalized total variation minimization (SSGTV) algorithm for CT. Numerical tests indicate that the proposed SSGTV algorithm improves the image reconstruction for CT.

AB - The generalized l1 greedy algorithm was recently proposed and shown to outperform the standard reweighted l1-minimization and l1-greedy algorithms for image reconstruction in computed tomography (CT). Herein, this algorithm is extended as a semisoft generalized l1 greedy algorithm by adapting the wavelet technique of semisoft thresholding. The extended algorithm can also be applied to image reconstruction by incorporating it into the BCPCS framework, resulting in a semisoft generalized total variation minimization (SSGTV) algorithm for CT. Numerical tests indicate that the proposed SSGTV algorithm improves the image reconstruction for CT.

KW - Generalized l greedy algorithm

KW - reweighted l-minimization

KW - semisoft thresholding

KW - total variation

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JO - IEEE Access

JF - IEEE Access

M1 - 7909042

ER -

Semisoft Generalized Total Variation Minimization for Image Reconstruction in Computed Tomography

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