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Algorithms for Encoding and Decoding 3D Hilbert Orderings

Published 10 Aug 2023 in cs.DS | (2308.05673v2)

Abstract: This paper presents algorithms and pseudocode for encoding and decoding 3D Hilbert orderings.

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References (6)
  1. I. Al-Kharusi and D. W. Walker. Locality properties of 3D data orderings with application to parallel molecular dynamics simulations. International Journal of High Performance Computing Applications, 33(5):998–1018, 2019.
  2. A new algorithm for encoding and decoding the hilbert order. Software: Practice and Experience, 37(8):897–908, 2007.
  3. H. Haverkort. How many three-dimensional hilbert curves are there? Journal of Computational Geometry, 8(1), 2017.
  4. A. Lindenmayer. Mathematical models for cellular interaction in development. Journal of Theoretical Biology, 18:280—–315, 1968.
  5. An algorithm for encoding and decoding the 3-d hilbert order. IEEE Transactions on Image Processing, 6(9):1333–1337, 1997.
  6. The Algorithmic Beauty of Plants. Springer Verlag, New York, 2nd. edition, 1996.

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