Farey Sequences and Discrete Radon Transform Projection Angles
This paper examines how the minimal set of digital projection angles for the Discrete Radon Transform (DRT) is selected from the known sequence of Farey fractions. A square array of prime size p defines a unique direction for each digital projection, m, through an integer ratio xm/ym. Here xm and ym define the nearest neighbour distance, dm, between projection samples under a modulus p sampling rule. We show the maximum gap length, dmax, on square and hexagonal lattices is < √(2p/√3) and ≤ √p...[Show more]
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|Source:||Electronic Notes in Discrete Mathematics|
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