Focal surfaces, skeletons, and ridges for shape analysis and processing

  • Authors:

  • Alexander Belyaev

  • Affiliations:

  • Heriot-Watt University, Edinburgh, UK

  • Venue:
  • Proceedings of the 2012 Joint International Conference on Human-Centered Computer Environments
  • Year:
  • 2012

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Abstract

Curvature is a central concept in the mathematical theory of shape [1]. Being one of the most important intrinsic characteristics of shape, curvature measures deviation from flatness. Visualization and analysis of curvature-based shape characteristics are key components of the shape analysis and understanding process. In this study, we deal with such curvature-based surface features as the focal surfaces, skeleton, and ridges and demonstrate their applications in shape analysis and processing.