Abstract
The pinhole gamma camera is the basis of the newly developed method of high-resolution pinhole single photon emission computed tomography (SPECT). In this paper, a pinhole gamma camera system was examined using the channel model of information theory. The model pinhole gamma camera was simplified from a noisy, lossy channel to a noiseless, lossless channel by assuming a plane source. An approximate formula of average mutual information for the pinhole gamma camera was then derived from the model. Imaging experiments validated the applicability of the analytic formula. The findings demonstrated that the pinhole gamma camera can be adequately described using the channel model of information theory, and that average mutual information can be considered a figure of merit for the optimizing design of the pinhole gamma camera.
Highlights
High-resolution pinhole single photon emission computed tomography (SPECT) imaging plays an important role in the rapidly growing field of molecular imaging [1,2]
The channel capacity is related to the statistical characteristics of the channel, but the channel can achieve the greatest amount of information transmission only when it is used for a particular information source
As the SPECT system itself is more complicated than the gamma camera, this initial investigation examines the pinhole gamma camera to establish the theoretical foundation for future studies of the pinhole SPECT system
Summary
A pinhole gamma camera system was examined using the channel model of information theory. An approximate formula of average mutual information for the pinhole gamma camera was derived from the model. This version was used for convenience the current study, which used the channel model and associated theory to examine a gamma photon imaging system In this simplified model, the imaging object is still an information source, the imaging system is a channel, the computer receiving projection data can be regarded as the receiver, and the projection data constitute the elements in receiver space. The approximate formula of average mutual information for the pinhole gamma camera was first derived, followed by discussion of its implications. The effective gray scale of projection image is given by
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