Theoretical LOR model incorporating spatial uncertainty in continuous detector PET

Steven Staelens; Yves D'Asseler; Michel Koole; Stefaan Vandenberghe; Ignace L. Lemahieu; Rik Van de Walle

doi:10.1117/12.480220

5 June 2003 Theoretical LOR model incorporating spatial uncertainty in continuous detector PET

Steven Staelens, Yves D'Asseler, Michel Koole, Stefaan Vandenberghe, Ignace L. Lemahieu, Rik Van de Walle

Proceedings Volume 5030, Medical Imaging 2003: Physics of Medical Imaging; (2003) https://doi.org/10.1117/12.480220
Event: Medical Imaging 2003, 2003, San Diego, California, United States

Abstract

In this paper, we will describe a theoretical model of the spatial uncertainty for a line of response, due to the imperfect localization of events on the detector heads of the Positron Emission Tomography (PET) camera. We assume a Gaussian distribution of the position of interaction on a detector head, centered at the measured position. The probability that an event originates from a certain point in the FOV is calculated by integrating all the possible LORs through this point, weighted with the Gaussian probability of detection at the LORs end points. We have calculated these probabilities both for perpendicular and oblique coincidences. For the oblique coincidence case it was necessary to incorporate the effect of the crystal thickness in the calculations. We found that the probability function can not be analytically expressed in a closed form, and it was thus calculated by means of numerical integration. A Gaussian was fitted to the probability profiles for a given distance to the detectors. From these fits, we can conclude that the profiles can be accurately approximated by a Gaussian, both for perpendicular as for oblique coincidences. The FWHM reaches a maximum at the detector heads, and decreases towards the center of the FOV, as was expected.

Citation Download Citation

Steven Staelens, Yves D'Asseler, Michel Koole, Stefaan Vandenberghe, Ignace L. Lemahieu, and Rik Van de Walle "Theoretical LOR model incorporating spatial uncertainty in continuous detector PET", Proc. SPIE 5030, Medical Imaging 2003: Physics of Medical Imaging, (5 June 2003); https://doi.org/10.1117/12.480220

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KEYWORDS

Sensors

Head

Positron emission tomography

Crystals

3D modeling

Convolution

Reconstruction algorithms

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