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Relation between the filtered backprojection algorithm and the backprojection algorithm in CT
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DOI：10.1109/LSP.2005.851615.png)
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Abstract
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In this letter, we present a new fan-beam CT formula, based on which we discuss the relation between the filtered backprojection (FBP) algorithm and the backprojection (BP) algorithm. Specifically, the FBP algorithm can be expressed in a series with its first-order approximation being the BP algorithm. As a result, we identify a link between X-ray CT and number theory.
Keywords:
common waveform analysis
computed tomography (CT)
generalized function
number theory
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