On the condition number of the antireflective transform

DOI10.1016/j.laa.2009.11.029zbMath1181.94041OpenAlexW1966548307MaRDI QIDQ2267408

Martin Hanke, Marco Donatelli

Publication date: 1 March 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.11.029

zbMATH Keywords

boundary conditionsTikhonov regularizationdeconvolutionfast sine transformantireflective transform

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for inverse problems for integral equations (65R32)

Related Items (4)

Optimal preconditioning for image deblurring with anti-reflective boundary conditions ⋮ Arnoldi methods for image deblurring with anti-reflective boundary conditions ⋮ Fast transforms for high order boundary conditions in deconvolution problems ⋮ Antireflective boundary conditions for deblurring problems

Cites Work

• Unnamed Item
• Unnamed Item
• The Anti-Reflective Transform and Regularization by Filtering
• Truncated decompositions and filtering methods with Reflective/Anti-Reflective boundary conditions: a comparison
• Pitfalls in the Numerical Solution of Linear Ill-Posed Problems
• Improved image deblurring with anti-reflective boundary conditions and re-blurring
• Deblurring Methods Using Antireflective Boundary Conditions
• A Note on Antireflective Boundary Conditions and Fast Deblurring Models
• Anti-reflective boundary conditions and re-blurring
• A Fast Algorithm for Deblurring Models with Neumann Boundary Conditions

This page was built for publication: On the condition number of the antireflective transform