Quasi-Newton approach to nonnegative image restorations
type: Item
instance of: scholarly article
title: Quasi-Newton approach to nonnegative image restorations
zbMATH Open document ID: 0960.65071
DOI: 10.1016/S0024-3795(00)00116-6
author: Martin Hanke
author: James G. Nagy
author: Curtis R. Vogel
published in: Linear Algebra and its Applications
publication date: 2000-11-20T00:00:00Z
review text: Efficient implementations for three nonnegatively constrained image restoration schemes are introduced: constrained least squares, maximum likelihood, and maximum entropy. With a certain parametrization and using a quasi-Newton method, these algorithms become very similar. Numerical experiments show that the new approach is superior to the popular expectation maximizing method with regard to both accuracy and efficiency.
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C20
Mathematics Subject Classification ID: 68U10
Mathematics Subject Classification ID: 90C53
zbMATH DE Number: 1533002
zbMATH Keywords: nonnegative image restorations
zbMATH Keywords: conjugate gradient method
zbMATH Keywords: numerical experiments
zbMATH Keywords: constrained least squares
zbMATH Keywords: maximum likelihood
zbMATH Keywords: maximum entropy
zbMATH Keywords: quasi-Newton method
zbMATH Keywords: algorithms
reviewed by: F. Szidarovszky
MaRDI profile type: Publication
cites work: Q3843144
cites work: Q4868585
cites work: FFT-Based Preconditioners for Toeplitz-Block Least Squares Problems
cites work: Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques
cites work: Rank-Deficient and Discrete Ill-Posed Problems
cites work: Q3999628
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description: scientific article; zbMATH DE number 1533002