Visualizing long vectors of measurements by use of the Hilbert curve.

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Bibliographic Details
Title: Visualizing long vectors of measurements by use of the Hilbert curve.
Authors: Estevez-Rams, E.1,2 estevez@imre.oc.uh.cu, Perez-Demydenko, C.2, Aragón Fernández, B.3, Lora-Serrano, R.4
Source: Computer Physics Communications. Dec2015, Vol. 197, p118-127. 10p.
Subjects: Vector analysis, Hilbert space, Mathematical transformations, Ising model, Mathematical sequences
Abstract: The use of Hilbert curves to visualize massive vector of data is revisited following previous authors. The Hilbert curve mapping preserves locality and makes meaningful representation of the data. We call such visualization as Hilbert plots. The combination of a Hilbert plot with its Fourier transform allows to identify patterns in the underlying data sequence. The use of different granularity representation also allows to identify periodic intervals within the data. Data from different sources are presented: periodic, aperiodic, logistic map and 1/2-Ising model. A real data example from the study of heartbeat data is also discussed. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:The use of Hilbert curves to visualize massive vector of data is revisited following previous authors. The Hilbert curve mapping preserves locality and makes meaningful representation of the data. We call such visualization as Hilbert plots. The combination of a Hilbert plot with its Fourier transform allows to identify patterns in the underlying data sequence. The use of different granularity representation also allows to identify periodic intervals within the data. Data from different sources are presented: periodic, aperiodic, logistic map and 1/2-Ising model. A real data example from the study of heartbeat data is also discussed. [ABSTRACT FROM AUTHOR]
ISSN:00104655
DOI:10.1016/j.cpc.2015.08.019