• DocumentCode
    922135
  • Title

    On the metric properties of discrete space-filling curves

  • Author

    Gotsman, C. ; Lindenbaum, M.

  • Author_Institution
    Dept. of Comput. Sci., Technion-Israel Inst. of Technol., Haifa, Israel
  • Volume
    5
  • Issue
    5
  • fYear
    1996
  • fDate
    5/1/1996 12:00:00 AM
  • Firstpage
    794
  • Lastpage
    797
  • Abstract
    A space-filling curve is a linear traversal of a discrete finite multidimensional space. In order for this traversal to be useful in many applications, the curve should preserve “locality”. We quantify “locality” and bound the locality of multidimensional space-filling curves. Classic Hilbert space-filling curves come close to achieving optimal locality
  • Keywords
    Hilbert spaces; edge detection; classic Hilbert space-filling curves; discrete finite multidimensional space; discrete space-filling curves; linear traversal; locality preservation; metric properties; optimal locality; Convergence; Entropy; Image converters; Image processing; Image reconstruction; Iterative algorithms; Multidimensional systems; Positron emission tomography; Radioactive decay; X-ray imaging;
  • fLanguage
    English
  • Journal_Title
    Image Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7149
  • Type

    jour

  • DOI
    10.1109/83.499920
  • Filename
    499920
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=922135