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Efficient morphological shape representation with overlapping disk components.

J Xu1

  • 1Dept. of Comput. Sci., Rowan Univ., Glassboro, NJ 08028, USA. xu@rowan.edu

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|February 8, 2008
PubMed
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This study introduces a novel algorithm for representing 2D shapes using a union of disks. This method, combining morphological skeleton transform (MST) and morphological shape decomposition (MSD), offers a more efficient and less overlapping shape representation.

Area of Science:

  • Computer Vision
  • Image Processing
  • Computational Geometry

Background:

  • Traditional shape representation methods can be complex and computationally intensive.
  • Existing algorithms like morphological skeleton transform (MST) and morphological shape decomposition (MSD) have limitations in terms of disk overlap and the number of representative elements.

Purpose of the Study:

  • To propose a new morphological shape representation algorithm for 2D binary shapes.
  • To represent shapes as a union of overlapping disks with controlled overlap.
  • To improve upon existing MST and MSD techniques.

Main Methods:

  • The algorithm represents a 2D binary shape as a union of disks contained within the shape.
  • It combines advantages of morphological skeleton transform (MST) and morphological shape decomposition (MSD).

Related Experiment Videos

  • Representative disks are mathematically characterized, ensuring simple and efficient implementation with controlled overlap.
  • Main Results:

    • The proposed algorithm uses significantly fewer representative disks compared to MSD.
    • It achieves a much lower overlapping level between representative disks than MST.
    • The generated shape components better correspond to natural shape parts.

    Conclusions:

    • The new algorithm provides an efficient and effective method for 2D shape representation.
    • It offers improved shape decomposition with fewer, less overlapping disks.
    • The method facilitates better approximation of shapes and identification of natural components.