Image reconstruction method for exterior circular cone-beam CT based on weighted directional total variation in cylindrical coordinates

DOI10.1515/jiip-2019-0012zbMath1444.94013OpenAlexW2972154001MaRDI QIDQ1987118

Zhaoqiang Shen, Yumeng Guo, Li Zeng, Jiaxi Wang

Publication date: 9 April 2020

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2019-0012

zbMATH Keywords

inverse problemcomputed tomographyimage reconstructionexterior CBCTweighted direction total variation

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Radon transform (44A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Inverse problems in linear algebra (15A29)

Uses Software

• FSIM

Cites Work

• Local algorithms in exterior tomography
• Incomplete data problems in X-ray computerized tomography. II: Truncated projections and region-of-interest tomography
• An adaptive iteration reconstruction method for limited-angle CT image reconstruction
• A non-smooth and non-convex regularization method for limited-angle CT image reconstruction
• Image reconstruction model for the exterior problem of computed tomography based on weighted directional total variation
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• Singularities of the X-Ray Transform and Limited Data Tomography in $\mathbb{R}^2 $ and $\mathbb{R}^3 $
• Convergence of the simultaneous algebraic reconstruction technique (SART)
• Active contours without edges
• FSIM: A Feature Similarity Index for Image Quality Assessment
• Characterization and reduction of artifacts in limited angle tomography

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