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Gray-scale structuring element decomposition.

O I Camps1, T Kanungo, R M Haralick

  • 1Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1996
PubMed
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This study extends optimal structuring element decomposition for binary morphology to gray-scale images. The new method efficiently decomposes arbitrary gray-scale structuring elements for faster image processing.

Area of Science:

  • Image processing and computer vision
  • Mathematical morphology

Background:

  • Efficient implementation of morphological operations relies on decomposing structuring elements.
  • Zhuang and Haralick (1986) developed a search algorithm for optimal binary structuring element decomposition.

Purpose of the Study:

  • To extend the optimal decomposition algorithm to gray-scale structuring elements.
  • To enable efficient implementation of gray-scale morphological operations.

Main Methods:

  • Utilizing concepts of 'Top of a set' and 'Umbra of a surface'.
  • Extending the Zhuang and Haralick search algorithm.

Main Results:

  • An optimal decomposition method for arbitrary gray-scale structuring elements has been developed.

Related Experiment Videos

  • The proposed method facilitates efficient gray-scale morphological operations.
  • Conclusions:

    • The extended algorithm provides an efficient way to decompose gray-scale structuring elements.
    • This advancement improves the performance of gray-scale image morphology.