Weighting Algorithm and Relaxation Strategies of the Landweber Method for Image Reconstruction
Joint Authors
Qu, Gangrong
Han, Guanghui
Wang, Qian
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-18
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
The iterative approach is important for image reconstruction with ill-posed problem, especially for limited angle reconstruction.
Most of iterative algorithms can be written in the general Landweber scheme.
In this context, appropriate relaxation strategies and appropriately chosen weights are critical to yield reconstructed images of high quality.
In this paper, based on reducing the condition number of matrix ATA, we find one method of weighting matrices for the general Landweber method to improve the reconstructed results.
For high resolution images, the approximate iterative matrix is derived.
And the new weighting matrices and corresponding relaxation strategies are proposed for the general Landweber method with large dimensional number.
Numerical simulations show that the proposed weighting methods are effective in improving the quality of reconstructed image for both complete projection data and limited angle projection data.
American Psychological Association (APA)
Han, Guanghui& Qu, Gangrong& Wang, Qian. 2018. Weighting Algorithm and Relaxation Strategies of the Landweber Method for Image Reconstruction. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-19.
https://search.emarefa.net/detail/BIM-1208012
Modern Language Association (MLA)
Han, Guanghui…[et al.]. Weighting Algorithm and Relaxation Strategies of the Landweber Method for Image Reconstruction. Mathematical Problems in Engineering No. 2018 (2018), pp.1-19.
https://search.emarefa.net/detail/BIM-1208012
American Medical Association (AMA)
Han, Guanghui& Qu, Gangrong& Wang, Qian. Weighting Algorithm and Relaxation Strategies of the Landweber Method for Image Reconstruction. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-19.
https://search.emarefa.net/detail/BIM-1208012
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208012