The complete set of homogeneous Hilbert curves in two dimensions

An inventory of all possible homogenous Hilbert curves in two dimensions are reported. Six new Hilbert curves are described by introducing the reversion operation in the construction algorithm. For each curve, the set of affine transformation defining the generation process is reported. Finally, eac...

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Bibliographic Details
Published inarXiv.org
Main Authors Pérez-Demydenko, C, Brito-Reyes, I, B Aragón Fernández, Estevez-Rams, E
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.12.2013
Subjects
Affine transformations
Algorithms
Hilbert curve
Reversion
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Summary:An inventory of all possible homogenous Hilbert curves in two dimensions are reported. Six new Hilbert curves are described by introducing the reversion operation in the construction algorithm. For each curve, the set of affine transformation defining the generation process is reported. Finally, each curve is also described in terms of a tag system.
ISSN:2331-8422