Title
A note on computing the derivative at a constant direction
Abbreviated Journal Title
Phys. Med. Biol.
Keywords
INVERSION ALGORITHM; BEAM; CT; Engineering, Biomedical; Radiology, Nuclear Medicine & Medical Imaging
Abstract
The derivative at constant direction is frequently used in inversion of cone-beam data. Several algorithms for computing the derivative have been proposed in the literature. The best algorithm to date has been proposed recently by Noo et al (2007 Phys. Med. Biol. 52 5393-414). In this note we propose a new, simple and efficient formula for computing the derivative. Numerical experiments with helical CT show that our formula and the one of Noo et al provide fairly similar spatial resolution and noise stability, even though the new formula is more efficient and easier to implement.
Journal Title
Physics in Medicine and Biology
Volume
56
Issue/Number
4
Publication Date
1-1-2011
Document Type
Article
Language
English
First Page
N53
Last Page
N61
WOS Identifier
ISSN
0031-9155
Recommended Citation
"A note on computing the derivative at a constant direction" (2011). Faculty Bibliography 2010s. 1463.
https://stars.library.ucf.edu/facultybib2010/1463
Comments
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