Image reconstruction from partial pseudo polar Fourier sampling based on alternating direction total variation minimization

Qiu-hong Liu; Fan Shu; Wen-kun Zhang; Ai-long Cai; Lei Li; Bin Yan

doi:10.1117/12.2032816

30 August 2013 Image reconstruction from partial pseudo polar Fourier sampling based on alternating direction total variation minimization

Qiu-hong Liu, Fan Shu, Wen-kun Zhang, Ai-long Cai, Lei Li, Bin Yan

Author Affiliations +

Proceedings Volume 8910, International Symposium on Photoelectronic Detection and Imaging 2013: Imaging Spectrometer Technologies and Applications; 89100T (2013) https://doi.org/10.1117/12.2032816
Event: ISPDI 2013 - Fifth International Symposium on Photoelectronic Detection and Imaging, 2013, Beijing, China

Abstract

Linear scan Computed Tomography (LCT) has emerged as a promising technique in fields like industrial scanning and security inspection due to its straight-line source trajectory and high scanning speed. However, in practical applications of LCT, the ordinary algorithms suffer from serious artifacts owing to the limited-angle and insufficient data. In this paper, a new method which reconstructs image from partial Fourier data sampled in pseudo polar grid based on alternating direction anisometric total variation minimization has been proposed. The main idea is to reform the image reconstruction problem into solving an under-determined linear equation, and then reconstruct image by applying the popular total variation (TV) minimization to reform an unconstraint optimization by means of augmented Lagrange method and using the alternating minimization method of multiplier (ADMM) which contributes to the fast convergence. The proposed method is practical in the large-scale task of reconstruction due to its algorithmic simplicity and computational efficiency and reconstructs better images. The results of the numerical simulations and pseudo real data reconstructions from the linear scan validate that the proposed method is both efficient and accurate.

Citation Download Citation

Qiu-hong Liu, Fan Shu, Wen-kun Zhang, Ai-long Cai, Lei Li, and Bin Yan "Image reconstruction from partial pseudo polar Fourier sampling based on alternating direction total variation minimization", Proc. SPIE 8910, International Symposium on Photoelectronic Detection and Imaging 2013: Imaging Spectrometer Technologies and Applications, 89100T (30 August 2013); https://doi.org/10.1117/12.2032816

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KEYWORDS

Reconstruction algorithms

Sensors

Image restoration

Design for manufacturing

Algorithm development

Computed tomography

Detection and tracking algorithms

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