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Symmetries of 1-D Images

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Abstract

The possible automorphism groups of scalar functions of a one-dimensional Euclidean domain are presented. The groups are determined relative to a class of transformations that allow an isometry of the function domain, simultaneous with a separate isometry of the function co-domain. Ten non-trivial automorphism groups are found. Seven of these are related to five of the seven Frieze groups.

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  1. Computer Science, University College London, London, WC1E 6BT, UK

    Lewis D. Griffin

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  1. Lewis D. Griffin
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Correspondence to Lewis D. Griffin.

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Griffin, L.D. Symmetries of 1-D Images. J Math Imaging Vis 31, 157–164 (2008). https://doi.org/10.1007/s10851-008-0078-1

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  • DOI: https://doi.org/10.1007/s10851-008-0078-1

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