• DocumentCode
    1369210
  • Title

    Reply to “Comments on `Analysis of the properties of soft morphological filtering using threshold decomposition´ ”

  • Author

    Shih, F.Y. ; Pu, C.C.

  • Author_Institution
    Comput. Vision Lab., New Jersey Inst. of Technol., Newark, NJ
  • Volume
    44
  • Issue
    9
  • fYear
    1996
  • fDate
    9/1/1996 12:00:00 AM
  • Firstpage
    2350
  • Lastpage
    2352
  • Abstract
    Constraints and proofs are provided by Shih and Pu (see ibid., vol.43, no.2, p.539, 1995) to justify their previous analysis of the idempotent soft morphological filters. It is shown that for a special case, the idempotency in Theorems 3 and 4 of a previous paper by the authors will not hold in the first stage, but the root signal will be produced in the second stage. The exact constraint is added to ensure the idempotency to be valid for the soft morphological closing and opening
  • Keywords
    filtering theory; mathematical morphology; constraints; idempotent soft morphological filters; proofs; root signal; soft morphological closing; soft morphological filtering; soft morphological opening; threshold decomposition; Art; Counting circuits; Filtering; Filters; Logic; Morphological operations; Signal processing;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.536694
  • Filename
    536694