Set-Valued Means of Random Particles

@article{Stoyan1997SetValuedMO,
  title={Set-Valued Means of Random Particles},
  author={Dietrich Stoyan and Ilya S. Molchanov},
  journal={Journal of Mathematical Imaging and Vision},
  year={1997},
  volume={7},
  pages={111-121}
}
Planar images of powder particles or sand grains can be interpreted as “figures”, i.e., equivalence classes of directlycongruent compact sets. The paper introduces a concept of set-valuedmeans and real-valued variances for samples of such figures. Inobtaining these results, the images are registered to have similarlocations and orientations. The method is applied to find a mean figure of a sample of polygonal particles. 

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