A comparison of property estimators in stereology and digital geometry

  • Authors:
  • Yuman Huang;Reinhard Klette

  • Affiliations:
  • CITR, University of Auckland, Auckland, New Zealand;CITR, University of Auckland, Auckland, New Zealand

  • Venue:
  • IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
  • Year:
  • 2004

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Abstract

We consider selected geometric properties of 2D or 3D sets, given in form of binary digital pictures, and discuss their estimation. The properties examined are perimeter and area in 2D, and surface area and volume in 3D. We evaluate common estimators in stereology and digital geometry according to their multiprobe or multigrid convergence properties, and precision and efficiency of estimations.