Alternative fan-beam backprojection and adjoint operators

DOI10.1515/jiip-2022-0029arXiv1812.06519OpenAlexW4319451633MaRDI QIDQ6085050

Matheus Bernardi, Patricio Guerrero, Eduardo X. Miqueles

Publication date: 2 December 2023

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

Full work available at URL: https://arxiv.org/abs/1812.06519

zbMATH Keywords

Radon transformtomographic reconstructionbackprojectionfan-beam

Mathematics Subject Classification ID

Radon transform (44A12) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Automatic regularization for tomographic image reconstruction
• The Mathematics of Computerized Tomography
• Mathematical Methods in Image Reconstruction
• Powers of tensors and fast matrix multiplication
• Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
• Optical Wavefront Reconstruction: Theory and Numerical Methods
• A Backprojection Slice Theorem for Tomographic Reconstruction
• Uniform asymptotic expansions at a caustic
• Fast Tomographic Reconstruction via Rotation-Based Hierarchical Backprojection
• Multiplying matrices faster than coppersmith-winograd