A Novel Reconstruction of the Sparse-View CBCT Algorithm for Correcting Artifacts and Reducing Noise

Jie Zhang (), Bing He, Zhengwei Yang and Weijie Kang
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Jie Zhang: College of Missile Engineering, Rocket Force University of Engineering, Xi’an 710025, China
Bing He: College of Missile Engineering, Rocket Force University of Engineering, Xi’an 710025, China
Zhengwei Yang: College of Missile Engineering, Rocket Force University of Engineering, Xi’an 710025, China
Weijie Kang: College of Missile Engineering, Rocket Force University of Engineering, Xi’an 710025, China

Mathematics, 2023, vol. 11, issue 9, 1-16

Abstract: X-ray tomography is often affected by noise and artifacts during the reconstruction process, such as detector offset, calibration errors, metal artifacts, etc. Conventional algorithms, including FDK and SART, are unable to satisfy the sampling theorem requirements for 3D reconstruction under sparse-view constraints, exacerbating the impact of noise and artifacts. This paper proposes a novel 3D reconstruction algorithm tailored to sparse-view cone-beam computed tomography (CBCT). Drawing upon compressed sensing theory, we incorporate the weighted Schatten p-norm minimization (WSNM) algorithm for 2D image denoising and the adaptive steepest descent projection onto convex sets (ASD-POCS) algorithm, which employs a total variation (TV) regularization term. These inclusions serve to reduce noise and ameliorate artifacts. Our proposed algorithm extends the WSNM approach into three-dimensional space and integrates the ASD-POCS algorithm, enabling 3D reconstruction with digital brain phantoms, clinical medical data, and real projections from our portable CBCT system. The performance of our algorithm surpasses traditional methods when evaluated using root mean square error (RMSE), peak signal-to-noise ratio (PSNR), and structural similarity index measure (SSIM) metrics. Furthermore, our approach demonstrates marked enhancements in artifact reduction and noise suppression.

Keywords: CBCT; sparse-view reconstruction; fusion denoising image; ADS-POCS; WSNM (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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