Data compression for gray images using Hubert scan

Sei Ichiro Kamata*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The Hilbert curve is one of the space-filling curves proposed by Peano. It has various applications such as image processing and computer holograms. The Hilbert curve fills each quadrant obtained by recursive quad-division of a plane (like "single-stroke writing") so that the curve always goes to an adjacent quadrant. This paper proposes a technique of nonreversible data compression of a gray image, which is an improvement over the author's previously published paper using a quad-tree representation. The proposed method transforms a gray image to a one dimensional signal with high neighborhood preservation, using a simple approximation for straight-line segmentation. The experimental results confirm that the method at about 0.6 bit/pixel produces almost the same visual image quality as JPEG.

Original languageEnglish
Pages (from-to)26-34
Number of pages9
JournalSystems and Computers in Japan
Issue number9
Publication statusPublished - 1997 Aug
Externally publishedYes


  • Gray image compression
  • Hilbert scan
  • Image representation
  • Segmentation

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Hardware and Architecture
  • Computational Theory and Mathematics


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