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The Mathematical Intelligencer

, Volume 11, Issue 3, pp 69–72 | Cite as

Digital geometry

  • Azriel Rosenfeld
  • Robert A. Melter
Article

Keywords

Lattice Point Straight Line Segment Digital Picture Jordan Curve Theorem Digital Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    A. Rosenfeld, Connectivity in digital pictures,J. Assoc. Comp. Mach. 17 (1970), 146–160.MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    A. Rosenfeld, Arcs and curves in digital pictures,J. Assoc. Comp. Mach. 20 (1973), 81–87.MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    A. Rosenfeld, Adjacency in digital pictures,Information Control 26 (1974), 24–33.MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    A. Rosenfeld and J. L. Pfaltz, Distance functions on digital pictures,Pattern Recognition 1 (1968), 33–61.MathSciNetCrossRefGoogle Scholar
  5. 5.
    J. Sklansky, Recognition of convex blobs,Pattern Recognition 2 (1970), 3–10.CrossRefGoogle Scholar
  6. 6.
    L. Hodes, Discrete approximation of continuous convex blobs,SIAM J. Appl. Math. 19 (1970), 477–485.MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    J. Sklansky, Measuring concavity on a rectangular mosaic,IEEE Trans. Computers 21 (1972), 1355–1364.MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    A. Rosenfeld, Digital straight line segments,IEEE Trans. Computers 23 (1974), 1264–1269.MathSciNetCrossRefzbMATHGoogle Scholar
  9. 9.
    A. Rosenfeld, Digital topology,Amer. Math. Monthly 86 (1979), 621–630.MathSciNetCrossRefzbMATHGoogle Scholar
  10. 10.
    C. E. Kim and A. Rosenfeld, How a digital computer can tell whether a line is straight,Amer. Math. Monthly 89 (1982), 230–238.MathSciNetCrossRefzbMATHGoogle Scholar
  11. 11.
    T. Y. Kong and A. Rosenfeld, Digital topology: introduction and survey,Computer Vision, Graphics, and Image Processing, submitted.Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 1989

Authors and Affiliations

  • Azriel Rosenfeld
    • 1
  • Robert A. Melter
    • 2
  1. 1.Azriel Rosenfeld Center for Automation ResearchUniversity of MarylandUSA
  2. 2.Department of MathematicsLong Island UniversitySouthamptonUSA

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