Francesco Udine
Image Reconstruction via Expectation Propagation with auxiliary informative variables.
Rel. Alfredo Braunstein, Anna Paola Muntoni. Politecnico di Torino, Corso di laurea magistrale in Physics Of Complex Systems (Fisica Dei Sistemi Complessi), 2022
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Abstract
Tomography is an imaging technique that allows one to reconstruct object sections by analyzing particular penetrating waves; this method finds applications in different areas of science. The mathematical procedure used to reconstruct images is generally called tomographic reconstruction; when X-rays are exploited, the overall procedure is called Computed Tomography scan (CT scan). Historically, this technique was first idealized by Johann Radon in 1917, when he introduced the so-called Radon transform: he showed that a cross-section of an image can be reconstructed in a single step through an infinite set of its projections. The first practical application in CT scan dates back to 1971, more than fifty years later.
Nowadays, image reconstruction algorithms use, conversely, a finite number of projections, and iterative reconstruction methods
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