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Modelling the penumbra in computed tomography

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Kueh, Audrey, Kendall, W. S. and Nichols, Thomas E. (2014) Modelling the penumbra in computed tomography. Working Paper. Coventry, UK: University of Warwick. Centre for Research in Statistical Methodology. CRiSM Working Paper Series, 14-25 . (Unpublished)

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Official URL: https://www2.warwick.ac.uk/fac/sci/statistics/cris...

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Abstract

The aim of this paper is to quantify the blurring in the image which is caused by the X-ray source not being a point source. We do this by studying the penumbra, which is the blurring specifically at the edges of the object image. If the source were a point, there would be sharp discontinuity at the boundary of the image. However, the data shows that this boundary instead exhibits almost linear decay, indicating that the source is not sharp. Indeed, the steepness of the slope should give an insight into the spot geometry, which is the area from which the X-rays originate.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: R Medicine > RC Internal medicine
Divisions: Faculty of Science, Engineering and Medicine > Science > Statistics
Library of Congress Subject Headings (LCSH): Tomography, X-rays
Series Name: CRiSM Working Paper Series
Publisher: University of Warwick. Centre for Research in Statistical Methodology
Place of Publication: Coventry, UK
Official Date: 2014
Dates:
DateEvent
2014Available
Volume: 14-25
Number of Pages: 19
Institution: University of Warwick
Status: Not Peer Reviewed
Publication Status: Unpublished
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