NDLI: Analytic derivation of pinhole collimation sensitivity for a general source model using spherical harmonics

Content Provider	PubMed Central
Author	Li, Yu-sheng Oldendick, James E. Chang, Wei
Abstract	Pinhole collimators are widely used for SPECT imaging of small organs and animals. There also has been renewed interest in using pinhole arrays for clinical cardiac SPECT imaging 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 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 collimation. We have derived an analytical formula for pinhole collimation sensitivity with a general source distribution model using spherical harmonics. As special cases of this general model, we provided the pinhole sensitivity formulae for line, disk and sphere sources. These results show that the point source model is just the zeroth-order approximation of the other source models. The point source model overestimates or underestimates the sensitivity relative to the more realistic model. The sphere source model yields the same sensitivity as a point source located at the center of the sphere when attenuation is not taken into account. In the presence of attenuation, the average path length of emitted gamma-rays is 3/4 of the radius of the sphere source. The calculated sensitivities based on these formulae show good agreement with separate Monte Carlo simulations in simple cases. The general and special sensitivity formulae derived here can be useful for the design and optimization of SPECT systems that utilize pinhole collimators.
Related Links	http://dx.doi.org/10.1088/0031-9155/55/9/020
Ending Page	2741
Page Count	15
Starting Page	2727
File Format	PDF
ISSN	00319155
e-ISSN	13616560
Journal	Physics in medicine and biology
Issue Number	9
Volume Number	55
Language	English
Publisher Date	2010-05-07
Access Restriction	Open
Subject Keyword	Radiological and Ultrasound Technology Radiology Nuclear Medicine and imaging Research in Higher Education
Content Type	Text
Resource Type	Article
Subject	Radiology, Nuclear Medicine and Imaging Radiological and Ultrasound Technology

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