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Digital disks and a digital compactness measure

Published:01 December 1984Publication History

ABSTRACT

An O(n2) time algorithm is presented that determines whether or not a given convex digital region is a digital disk. A new compactness measure for digital regions is introduced, and an algorithm to evaluate the compactness measure of convex digital regions is also presented.

References

  1. 1.R. M. Haralick, 'A measure for circularity of digital figures,' IEEE Trans. SMC vol. SMC-4, 394-396.Google ScholarGoogle Scholar
  2. 2.L. Hodes, 'Discrete approximation of continuous convex blobs,' SIAM J. Appl. Math. 19-2(1970), 477-485.Google ScholarGoogle Scholar
  3. 3.C. E. Kim, 'On the cellular convexity of complexes,' IEEE Trans. PAMI vol. PAMI-3(1981), 617-625.Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. 4.C. E. Kim, 'Digital convexity, straightness and convex polygons,' IEEE Trans. PAMI vol. PAMI-4(1982), 618-626.Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. 5.C. E. Kim and A. Rosenfeld, 'Digital straightness and convexity,' Proc. ACM Symp. on Theory of Computing (1981), 80-89. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. 6.A. Rosenfeld, 'Connectivity in digital pictures,' JACM 17(1970), 146-160. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. 7.A. Rosenfeld and A. C. Kak, Digital Picture Processing, Academic Press, New York, 1976. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. 8.A. Rosenfeld and C. E. Kim, 'How a digital computer can tell whether a line is straight.' Amer. Math. Monthly vol. 89(1982), 230-235.Google ScholarGoogle ScholarCross RefCross Ref
  9. 9.J. Sklansky, 'Recognition of convex blobs,' Pattern Recognition 2(1970), 3-10.Google ScholarGoogle Scholar

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  1. Digital disks and a digital compactness measure

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                  cover image ACM Conferences
                  STOC '84: Proceedings of the sixteenth annual ACM symposium on Theory of computing
                  December 1984
                  547 pages
                  ISBN:0897911334
                  DOI:10.1145/800057

                  Copyright © 1984 ACM

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                  Association for Computing Machinery

                  New York, NY, United States

                  Publication History

                  • Published: 1 December 1984

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