Farey Sequences and Discrete Radon Transform Projection Angles
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Svalbe, Imants D; Kingston, Andrew
Description
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]
Collections | ANU Research Publications |
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Date published: | 2003 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/58103 |
Source: | Electronic Notes in Discrete Mathematics |
DOI: | 10.1016/S1571-0653(04)00482-2 |
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01_Svalbe_Farey_Sequences_and_Discrete_2003.pdf | 228.43 kB | Adobe PDF | Request a copy |
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