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Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics
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A new convexity measure for polygons.

Jovisa Zunic1, Paul L Rosin

  • 1Department of Computer Science, Exeter University, UK. J.Zunic@ex.ac.uk

IEEE Transactions on Pattern Analysis and Machine Intelligence
|June 27, 2008
PubMed
Summary

This study introduces a new boundary-based convexity measure for polygons. It is more sensitive to boundary defects and advantageous for shapes with holes compared to existing methods.

Area of Science:

  • Computational geometry
  • Image analysis
  • Shape analysis

Background:

  • Convexity estimators are crucial for shape analysis.
  • Existing area-based measures have limitations in detecting boundary defects.

Purpose of the Study:

  • To define and evaluate a novel boundary-based convexity measure for planar polygonal regions.
  • To address limitations of existing area-based convexity measures.

Main Methods:

  • Development of a new "boundary-based" convexity measure.
  • Comparison with traditional "area-based" measures and convex hull ratio methods.

Main Results:

  • The new measure is more sensitive to boundary defects.
  • It offers advantages for shapes with holes.

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  • The measure yields values in (0, 1], with 1 indicating convexity.

    • Conclusions:

    • The proposed convexity measure is robust and efficient.
    • It offers desirable properties including invariance under similarity transformations.
    • A fast computation procedure is available.