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Efficient morphological shape representation.

J M Reinhardt1, W E Higgins

  • 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 introduces a new, efficient shape representation method using mathematical morphology. It decomposes objects into components for faster computational use, outperforming existing skeleton and morphological shape decomposition techniques.

Area of Science:

  • Computer Vision
  • Image Analysis
  • Computational Geometry

Background:

  • Mathematical morphology is effective for geometric information and object shape representation.
  • Existing methods like morphological skeleton and morphological shape decomposition (MSD) represent objects as disjoint sets but lack computational efficiency.
  • There is a need for efficient shape representation schemes in practical applications.

Purpose of the Study:

  • To propose a novel, flexible, and computationally efficient shape representation scheme.
  • To improve upon the efficiency limitations of traditional morphology-based shape representations.
  • To explore the trade-off between representation accuracy and efficiency.

Main Methods:

  • A search-based shape representation scheme is developed.

Related Experiment Videos

  • Objects are decomposed into simple components based on homothetics of structuring elements.
  • Components are combined using set union and set difference operations.
  • Three constituent component types and a cost-based search strategy are employed.
  • Object representation error is considered for enhanced efficiency.

    • Main Results:

    • The proposed method typically yields more efficient representations compared to the morphological skeleton and MSD.
    • The flexibility of the scheme allows for efficient representations.
    • Allowing for representation error can lead to further efficiency gains.

    Conclusions:

    • The proposed search-based morphological shape representation offers improved computational efficiency.
    • This method provides a practical alternative for object shape representation.
    • The approach balances efficiency with acceptable levels of representation error.