1.1 1.1 Introduction
Emission tomography(ET) is a versatile functional imaging modality. A radiopharmaceutical is introduced into a patient or animal subject to trace biochemical or metabolic specific activity. As the radio-labeled tracer decays, photons are generated and measured by an array of detectors. An image of the activity distribution can be reconstructed from projections of the tracer distribution collected from different angular views. These projections of the activity distribution are collected into measurement bins by collimating the detector array so that each bin accepts only photons travelling along a single line of response. The collection of these measurement bins over all angular views can be organized into a sinogram . The mapping of an image into this collection of projections is called the Radon transform. In computed tomography, images are reconstructed from the sinogram by inverting the Radon transform.
Computed tomography (CT) is an ill-posed inverse problem....
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Leondes, C.T. (2003). Algorithms for Accelerated Convergence of Emission Computed Tomography Medical IMAGES. In: Leondes, C.T. (eds) Computational Methods in Biophysics, Biomaterials, Biotechnology and Medical Systems. Springer, Boston, MA. https://doi.org/10.1007/0-306-48329-7_1
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