NDLI: A fast and accurate decimation-in-angle hierarchical fan-beam backprojection algorithm

Content Provider	IEEE Xplore Digital Library
Author	George, A. Bresler, Y.
Copyright Year	2006
Description	Author affiliation: Dept of ECE, Illinois Univ., Urbana, IL (George, A.; Bresler, Y.)
Abstract	We introduce a fast algorithm for backprojecting images from tomographic fan-beam projections that aggregates the projections in a hierarchical structure and achieves a computational cost of O(N2 log P), when backprojecting an N times N pixel image from P projections. Like in the parallel-beam algorithm, the images in the hierarchy are formed by the rotation and the adding together of other images made up of fewer projections. The low computational cost of the algorithm depends on the efficient sampling of the intermediate images in the hierarchy. Understanding the algorithm within the signal processing framework, a general scheme for sampling an image made up of projections of arbitrary geometries is introduced. While the algorithm is related to one by Nilsson (1997), the Fourier domain understanding leads to a more efficient sampling scheme for the intermediate images
Starting Page	1188
Ending Page	1191
File Size	713333
Page Count	4
File Format	PDF
ISBN	078039576X
DOI	10.1109/ISBI.2006.1625136
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-04-06
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Signal processing algorithms Geometry Signal sampling Image reconstruction Computational efficiency Image sampling Pixel Computed tomography Iterative algorithms Aggregates
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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