STEREOLOGICAL ESTIMATION OF SURFACE AREA FROM DIGITAL IMAGES

Authors

  • Johanna Ziegel
  • Markus Kiderlen

DOI:

https://doi.org/10.5566/ias.v29.p99-110

Keywords:

configurations, digital stereology, local stereology, surface area

Abstract

A sampling design of local stereology is combined with a method from digital stereology to yield a novel estimator of surface area based on counts of configurations observed in a digitization of an isotropic 2- dimensional slice with thickness s. As a tool, a result of the second author and J. Rataj on infinitesimal increase of volumes of morphological transforms is refined and used. The proposed surface area estimator is asymptotically unbiased in the case of sets contained in the ball centred at the origin with radius s and in the case of balls centred at the origin with unknown radius. For general shapes bounds for the asymptotic expected relative worst case error are given. A simulation example is discussed for surface area estimation based on 2×2×2-configurations.

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Published

2011-05-03

Issue

Section

Original Research Paper

How to Cite

Ziegel, J., & Kiderlen, M. (2011). STEREOLOGICAL ESTIMATION OF SURFACE AREA FROM DIGITAL IMAGES. Image Analysis and Stereology, 29(2), 99-110. https://doi.org/10.5566/ias.v29.p99-110