AAPM Banner
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

You are not logged in Access to this article requires a subscription. Log In

Medical Physics / Volume 39 / Issue 2 / NUCLEAR MEDICINE PHYSICS

Med. Phys. 39, 603 (2012); http://dx.doi.org/10.1118/1.3673956 (5 pages)

A filtered backprojection algorithm with characteristics of the iterative landweber algorithm

Gengsheng L. Zeng

Department of Radiology, University of Utah, UCAIR, 729 Arapeen Drive, Salt Lake City, Utah 84108

View MapView Map

(Received 2 September 2011; accepted 12 December 2011; revised 9 December 2011; published online 11 January 2012)

Full Text: Read Online (HTML) | Download PDF | Buy PDF (US$30) | View Cart
Purpose: In order to eventually develop an analytical algorithm with noise characteristics of an iterative algorithm, this technical note develops a window function for the filtered backprojection (FBP) algorithm in tomography that behaves as an iterative Landweber algorithm.
Methods: Based on the formulation of the iterative Landweber algorithm, a frequency domain window function is derived for each iteration of the Landweber algorithm. The resultant window function has an index k, emulating the characteristics of the Landweber algorithm at the kth iteration. The window function is used to modify the ramp filter in the FBP algorithm.
Results: Computer simulations show that the windowed FBP algorithm with window function index k and the iterative Landweber algorithm iteration number k give similar reconstructions in terms of resolution and noise.
Conclusions: Analytical FBP algorithms are able to provide similar results to the iterative Landweber algorithm if the ramp filter in the FBP algorithm is modified by a set of specially designed window functions.

© 2012 American Association of Physicists in Medicine

ACKNOWLEDGMENTS

This work was supported in part by the Margolis Foundation. The author thanks Dr. Roy Rowley of the University of Utah for English editing.

Article Outline

  1. INTRODUCTION
  2. METHODS
  3. COMPUTER SIMULATION RESULTS
  4. CONCLUSIONS
Digital Object Identifier
http://dx.doi.org/10.1118/1.3673956

KEYWORDS and PACS

Keywords

computerised tomography, frequency-domain analysis, image denoising, image reconstruction, iterative methods, medical image processing, image reconstruction, iterative reconstruction algorithm, analytical reconstruction algorithm, tomography

PACS

PUBLICATION DATA

ISSN

0094-2405 (print)  

Publisher

$abstract.society.value is a Member of CrossRef American Association of Physicists in Medicine

For access to fully linked references, you need to log in.

For access to citing articles, you need to log in.


Figures (1) Tables (2)

Access to article objects (figures, tables, multimedia) requires a subscription; log in to view available files.
(Access to supplementary files, where available, is free for this journal.)

Access to article objects (figures, tables, multimedia) requires a subscription; log in to view available files.
(Access to supplementary files, where available, is free for this journal.)



Close

Medical Physics is an official science journal of the AAPM and of the COMP/CCPM/IOMP
William R. Hendee, Editor
Departments of Radiology, Radiation Oncology, Biophysics, Community and Public Health, Medical College of Wisconsin
One Physics Ellipse
College Park, Maryland 20740
301-209-3352

© 2012, American Association of Physicists in Medicine. Individual readers of this journal, and nonprofit libraries acting for them, are freely permited to make fair use of the material in it, such as to copy an article for use in teaching or research. (For other kinds of copying see "Copying Fees.") Permission is granted to quote from this journal in scientific works with the customary acknowledgment of the source. To reprint a figure, table, or other excerpt requires, in addition, AAPM may require that permission also be obtained from one of the authors. Address inquiries and notices to Penny Slattery, Journal Manager, Medical Physics Journal, AAPM, One Physics Ellipse, College Park, MD 20740-3846; email: journal@aapm.org.

close