• DocumentCode
    1118216
  • Title

    Digital Straight Lines and Convexity of Digital Regions

  • Author

    Kim, Chul E. ; Rosenfeld, Azriel

  • Author_Institution
    Department of Computer Science, University of Maryland, College Park, MD 20742; Department of Computer Science, Washington State University, Pullman, WA 99163.
  • Issue
    2
  • fYear
    1982
  • fDate
    3/1/1982 12:00:00 AM
  • Firstpage
    149
  • Lastpage
    153
  • Abstract
    It is shown that a digital region is convex if and only if every pair of points in the region is connected by a digital straight line segment contained in the region. The midpoint property is shown to be a necessary but not a sufficient condition for the convexity of digital regions. However, it is shown that a digital region is convex if and only if it has the median-point property.
  • Keywords
    Computer science; Computer vision; Geometry; Joining processes; Laboratories; Sufficient conditions; Convexity; digital geometry; straightness;
  • fLanguage
    English
  • Journal_Title
    Pattern Analysis and Machine Intelligence, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0162-8828
  • Type

    jour

  • DOI
    10.1109/TPAMI.1982.4767221
  • Filename
    4767221