Cosine transform preconditioners for high resolution image reconstruction

DOI10.1016/S0024-3795(99)00274-8zbMath0993.65056WikidataQ57397368 ScholiaQ57397368MaRDI QIDQ1587275

Andy M. Yip, Tony F. Chan, Raymond Honfu Chan, Michael Kwok-Po Ng

Publication date: 26 September 2002

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

zbMATH Keywords

numerical examplespreconditioningToeplitz matrixNeumann boundary conditionTikhonov regularizationimage reconstructionconjugate gradient methodsdiscrete cosine transform

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical methods for discrete and fast Fourier transforms (65T50)

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Cites Work

• Sine transform based preconditioners for symmetric Toeplitz systems
• A fast covariance type algorithm for sequential least-squares filtering and prediction
• The Discrete Cosine Transform
• Fast computation of a discretized thin-plate smoothing spline for image data
• A Fast Algorithm for Deblurring Models with Neumann Boundary Conditions
• Conjugate Gradient Methods for Toeplitz Systems
• Fast Transform Based Preconditioners for Toeplitz Equations
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