NDLI: Analytic derivation of pinhole collimator sensitivity for a general source distribution

Content Provider	IEEE Xplore Digital Library
Author	Yusheng Li Oldendick, J. Ordonez, C.E. Wei Chang
Copyright Year	2009
Description	Author affiliation: Department of Diagnostic Radiology, Rush University Medical Center, Chicago, IL, 60612 USA (Yusheng Li; Oldendick, J.; Ordonez, C.E.; Wei Chang)
Abstract	Pinhole collimators are widely used for SPECT imaging of small organs and animals. There also has been renewed interest in using pinhole collimation for clinical cardiac SPECT imaging, which uses multiple pinhole arrays to achieve high sensitivity and complete data sampling. Overall sensitivity of a pinhole array is critical in determining a system's performance. Conventionally, a point source model has been used to evaluate the overall sensitivity and optimize the system design. This model is simple but far from realistic. This work addresses the use of more realistic source models to assess the sensitivity performance of pinhole systems. We derived an analytical formula for the sensitivity of pinhole collimation with a general source distribution model using spherical harmonics. As special cases of this general model, we also provide the pinhole sensitivity formulas for line segment, disk and sphere sources. These results show that the point source model is just the zero-order approximation of the other source models. The point source overestimates or underestimates the sensitivity when the line segment or disk source lies in a plane that is parallel or perpendicular to the pinhole aperture plane, respectively. The sphere source yields the same sensitivity as a point source at the center of the sphere when attenuation is not considered. The calculated sensitivities based on these formulas show good agreement with separate Monte Carlo simulations in simple cases. The general and special sensitivity formulas derived here are useful for the design and optimization of SPECT systems that utilize pinhole collimators.
Starting Page	3093
Ending Page	3095
File Size	102893
Page Count	3
File Format	PDF
ISBN	9781424439614
ISSN	10957863
DOI	10.1109/NSSMIC.2009.5401671
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-10-24
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Collimators Design optimization Apertures System performance Harmonic analysis Geometry Nuclear and plasma sciences Image analysis Animal structures Sampling methods
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
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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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