Landweber iterative methods for angle-limited image reconstruction
type: Item
instance of: scholarly article
title: Landweber iterative methods for angle-limited image reconstruction
zbMATH Open document ID: 1185.65229
author: Ming Jiang
author: Gangrong Qu
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2010-01-18T00:00:00Z
review text: A general iterative scheme for angle-limited image reconstruction based on Landweber's method is introduced. A representation formula for this scheme is derived and its convergence conditions are established. The results of this paper suggests certain relaxation strategies for an accelerated convergence for angle-limited image reconstruction in the \(L^2\)-norm compared with alternative projection methods. The convolution-backprojection algorithm for this iterative process is also given.
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 44A12
zbMATH DE Number: 5659766
zbMATH Keywords: Landweber iteration
zbMATH Keywords: angle-limited image reconstruction
zbMATH Keywords: relaxation coefficients
zbMATH Keywords: convolution-backprojection algorithm
reviewed by: Som Prakash Goyal
MaRDI profile type: Publication
full work available at URL: s10255-008-8132-8
OpenAlex ID: W2031429931
cites work: A study of fourier space methods for “limited angle” image reconstruction*
cites work: Q3996223
cites work: An Iteration Formula for Fredholm Integral Equations of the First Kind
cites work: Uniform asymptotic expansions at a caustic
cites work: The mathematics of computerized tomography
cites work: Mathematical methods in image reconstruction
cites work: Wavelet inversion of the \(k\)-plane transform and its application
cites work: An iterative algorithm for angle-limited three-dimensional image reconstruction
cites work: Inversion of limited-angle tomographic data
cites work: Inversion of limited-angle tomographic data. II
DOI: 10.1007/S10255-008-8132-8
Recommended article: An iterative algorithm for angle-limited three-dimensional image reconstruction
Recommended article: Weighting algorithm and relaxation strategies of the Landweber method for image reconstruction
Recommended article: Q4327456
Recommended article: Image reconstruction from limited range projections using orthogonal moments
Recommended article: Wavelet tight frame and prior image-based image reconstruction from limited-angle projection data
Recommended article: A compressive Landweber iteration for solving ill-posed inverse problems
Recommended article: Iterative image reconstruction for limited-angle CT using optimized initial image
Recommended article: Block-iterative interior point optimization methods for image reconstruction from limited data
Recommended article: OPED reconstruction algorithm for limited angle problem
Recommended article: Coarse-to-fine reconstruction in linear inverse problems with application to limited-angle computerized tomography
description: scientific article; zbMATH DE number 5659766