2D grey-level convex hull computation: a discrete 3D approach

  • Authors:
  • Ingela Nyström;Gunilla Borgefors;Gabriella Sanniti di Baja

  • Affiliations:
  • Centre for Image Analysis, Uppsala University, Uppsala, Sweden;Centre for Image Analysis, Swedish University for Agricultural Sciences, Uppsala, Sweden;Istituto di Cibernetica, National Research Council of Italy, Pozzuoli, Napoli, Italy

  • Venue:
  • SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
  • Year:
  • 2003

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Abstract

We compute discrete convex hulls in 2D grey-level images, where we interpret grey-level values as heights in 3D landscapes. For these 3D objects, using a 3D binary method, we compute approximations of their convex hulls. Differently from other grey-level convex hull algorithms, producing results convex only in the geometric sense, our convex hull is convex also in the grey-level sense.