Sparse givens resolution of large system of linear equations: applications to image reconstruction

DOI10.1016/j.mcm.2010.03.016zbMath1205.65141OpenAlexW2023563976MaRDI QIDQ623029

Antonio Soriano, Amadeo Iborra, María-José Rodríguez-Alvarez, Filomeno Sánchez

Publication date: 13 February 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/58006

zbMATH Keywords

computed tomographyimage reconstructionGivens rotations\(Q\)R-factorization

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Direct numerical methods for linear systems and matrix inversion (65F05)

Uses Software

• CSparse

Cites Work

• Unnamed Item
• New pixellation scheme for CT algebraic reconstruction to exploit matrix symmetries
• Computation of Plain Unitary Rotations Transforming a General Matrix to Triangular Form
• Direct Methods for Sparse Linear Systems
• Two Fast Algorithms for Sparse Matrices: Multiplication and Permuted Transposition

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