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Farey Sequences and Discrete Radon Transform Projection Angles

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]

CollectionsANU Research Publications
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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