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Recursive soft morphological filters.

F Y Shih1, P Puttagunta

  • 1Comput. Vision Lab., New Jersey Inst. of Technol., Newark, NJ.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1995
PubMed
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This study introduces recursive soft morphological filters and their cascaded combinations. The research simplifies complex filter implementations by reducing them to single recursive standard morphological filter problems.

Area of Science:

  • Image processing and mathematical morphology.
  • Digital signal processing.
  • Computer vision.

Background:

  • Recursive soft morphological filters utilize prior outputs as inputs, enabling iterative processing.
  • Cascaded combinations of these filters allow for sequential application of multiple filtering stages.
  • Idempotent recursive soft morphological filters possess properties that simplify their analysis and application.

Purpose of the Study:

  • To present the properties of recursive soft morphological filters.
  • To explore cascade combinations of these filters.
  • To introduce idempotent recursive soft morphological filters.

Main Methods:

  • Investigating the behavior of recursive soft morphological filters with feedback loops.

Related Experiment Videos

  • Analyzing the composition of cascaded recursive soft morphological filter structures.
  • Deriving conditions for idempotency in recursive soft morphological filters.

    • Main Results:

    • Established properties of recursive soft morphological filters and their cascaded variants.
    • Demonstrated the concept of idempotent recursive soft morphological filters.
    • Showed that cascaded recursive soft morphological filter implementation challenges can be simplified.

    Conclusions:

    • The developed framework simplifies the implementation of complex cascaded recursive soft morphological filters.
    • The findings offer a more efficient approach to designing and applying soft morphological filters.
    • This work contributes to the theoretical understanding and practical application of morphological filtering techniques.