Alternative Algorithm for Hilbert's Space-Filling Curve

Arthur R. Butz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

213 Scopus citations

Abstract

An algorithm for generating Hilbert's space-filling curve in a byte-oriented manner is presented. In the context of one application of space-filling curves, the algorithm may be modified so that the results are correct for continua rather than for quantized spaces.

Original languageEnglish (US)
Pages (from-to)424-426
Number of pages3
JournalIEEE Transactions on Computers
VolumeC-20
Issue number4
DOIs
StatePublished - Apr 1971

Keywords

  • Algorithms
  • bandwidth reduction
  • display
  • mathe-
  • matical programming
  • pattern recognition
  • solution of equations
  • space-filling curves
  • transforming multidimensions to one dimension

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Hardware and Architecture
  • Computational Theory and Mathematics

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