一种新型高分辨率SPECT系统中的内问题重建

Kudo et al. presented a unique and stable solution to the interior problem in computed tomography (CT) given tiny a proiri knowledge of the object. In this work we advance their result to the interior reconstruction problem in SPECT where a uniform attenuation map is assumed in brain imaging. In the theory, differentiation followed by backprojection (DBP) of truncated SPECT data is shown to obtain the truncated weighted Hilbert transform. Then with a proiri information on a small part of the region-of-interest (ROI), the other part of the ROI is shown to be available using the projection onto convex sets (PCOS) method.