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Four alternative patterns of the Hilbert curve.

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Publication:1412639
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DOI10.1016/S0096-3003(02)00808-1zbMath1033.28003OpenAlexW1965465648MaRDI QIDQ1412639

Xian Liu

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00808-1


zbMATH Keywords

space-filling curveHilbert curveHilbert orderspatial ordering


Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Fractals (28A80) Computer-aided design (modeling of curves and surfaces) (65D17)


Related Items (5)

Efficient algorithms for coding Hilbert curve of arbitrary-sized image and application to window query ⋮ The complete set of homogeneous Hilbert curves in two dimensions ⋮ A mesh partitioning algorithm for preserving spatial locality in arbitrary geometries ⋮ An arithmetic-analytical expression of the Hilbert-type space-filling curves and its applications ⋮ Chaotic spread spectrum watermark of optimal space-filling curves




Cites Work

  • A new algorithm for generating hilbert curves




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