New iterative reconstruction methods for fan-beam tomography

DOI10.1080/17415977.2017.1340946zbMath1409.92133OpenAlexW2722326837MaRDI QIDQ3121994

Daniil Kazantsev, Valery Pickalov

Publication date: 20 March 2019

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://www.research.manchester.ac.uk/portal/en/publications/new-iterative-reconstruction-methods-for-fanbeam-tomography(3355c2aa-543e-4b32-a4a1-9e9df1ff9d3c).html

zbMATH Keywords

Radon transforminverse problemsintegral equationscomputational methodstomographynumerical solutionsFourier methodsfew-view

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Computational methods for problems pertaining to biology (92-08) Software, source code, etc. for problems pertaining to biology (92-04)

Uses Software

• Matlab

Cites Work

• Nonlinear total variation based noise removal algorithms
• Fundamentals of Computerized Tomography
• Employing temporal self-similarity across the entire time domain in computed tomography reconstruction
• Cubic convolution interpolation for digital image processing
• Computational Methods for Inverse Problems
• Development and Optimization of Regularized Tomographic Reconstruction Algorithms Utilizing Equally-Sloped Tomography
• Discrete Radon transform has an exact, fast inverse and generalizes to operations other than sums along lines
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