A pseudo-hilbert scan algorithm for arbitrarily-sized rectangle region

Jian Zhang, Sei Ichiro Kamata, Yoshifumi Ueshige

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Citations (Scopus)

Abstract

The 2-dimensional Hilbert scan (HS) is a one-to-one mapping between 2-dimensional (2-D) space and one-dimensional (1-D) space along the 2-D Hilbert curve. Because Hilbert curve can preserve the spatial relationships of the patterns effectively, 2-D HS has been studied in digital image processing actively, such as compressing image data, pattern recognition, clustering an image, etc. However, the existing HS algorithms have some strict restrictions when they are implemented. For example, the most algorithms use recursive function to generate the Hilbert curve, which makes the algorithms complex and takes time to compute the one-to-one correspondence. And some even request the sides of the scanned rectangle region must be a power of two, that limits the application scope of HS greatly. Thus, in order to improve HS to be proper to real-time processing and general application, we proposed a Pseudo-Hilbert scan (PHS) based on the look-up table method for arbitrarily-sized arrays in this paper. Experimental results for both HS and PHS indicate that the proposed generalized Hilbert scan algorithm also reserves the good property of HS that the curve preserves point neighborhoods as much as possible, and gives competitive performance in comparison with Raster scan.

Original languageEnglish
Title of host publicationAdvances in Machine Vision, Image Processing, and Pattern Analysis - International Workshop on Intelligent Computing in Pattern Analysis/Synthesis, IWICPAS 2006, Proceedings
PublisherSpringer Verlag
Pages290-299
Number of pages10
ISBN (Print)354037597X, 9783540375975
DOIs
Publication statusPublished - 2006
EventInternational Workshop on Intelligent Computing in Pattern Analysis/Synthesis, IWICPAS 2006 - Xi'an, China
Duration: 2006 Aug 262006 Aug 27

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4153 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceInternational Workshop on Intelligent Computing in Pattern Analysis/Synthesis, IWICPAS 2006
CountryChina
CityXi'an
Period06/8/2606/8/27

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Zhang, J., Kamata, S. I., & Ueshige, Y. (2006). A pseudo-hilbert scan algorithm for arbitrarily-sized rectangle region. In Advances in Machine Vision, Image Processing, and Pattern Analysis - International Workshop on Intelligent Computing in Pattern Analysis/Synthesis, IWICPAS 2006, Proceedings (pp. 290-299). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4153 LNCS). Springer Verlag. https://doi.org/10.1007/11821045_31