This paper presents a computer simulation of photon interaction with collimator septa, which allows the point spread function of scintillation camera collimators to be calculated. The method simulates photon attenuation along their propagation direction in a determinist way. Using this simulation, the spatial resolution, geometric efficiency and penetration index of collimators may be easily assessed. Results obtained with this method are presented and compared with those obtained from standard formulae. We show the usefulness of the simulation which precisely accounts for effects of septum penetration. Measurements performed on two collimators with 131I and 99Tcm point sources provide results consistent with those obtained from the simulation method. In conclusion we show that this method is an accurate tool to assist conception of collimators for nuclear medicine.
The mechanical tolerances in building collimators for scintillation cameras are studied. A simulation method has been used to quantify the effects of defects in hole inclination and hole diameter on the uniformity of planar and tomographic images. The calculation takes into account the geometry of the hexagonal hole collimator, the camera intrinsic resolution, the object size, the pixel size, the effect of low-pass filtering, as well as the type, size and position of the defect. For instance, a 0.03 mm diameter defect on several holes located in the central region of a very high resolution collimator can result in a 12% uniformity artefact in tomographic imaging of an 18 cm diameter cylinder, using a 3.45 mm resolution camera, 4.5 mm pixel size, and Hamming filtering with a Nyquist frequency cut-off. A 0.17 degree inclination defect of a few holes can result in the same uniformity artefact. These results show that the building of a collimator has to be very precise.
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