Estimation of Sample Spacing in Stochastic Processes

Anders Rønn-Nielsen*, Jon Sporring, Eva B.Vedel Jensen

*Corresponding author for this work

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Abstract

The paper deals with modeling of segment systems in a bounded planar set (a cell) by means of random segment processes. Two models with a density with respect to the Poisson process are presented. In model I interactions are given by the number of intersections, model II includes the length distribution and takes into account distances from the centre of the cell. The estimation of parameters of the models is suggested based on Takacz-Fiksel method. The method is tested first using simulated data. Further the real data from fluorescence imaging of stress fibres in mesenchymal human stem cells are evaluated. We apply model II which is inhomogeneous. The degree-of-fit testing of the model using various characteristics yields quite satisfactory results.
Original languageEnglish
JournalImage Analysis and Stereology
Volume36
Issue number1
Pages (from-to)43-49
Number of pages7
ISSN1580-3139
DOIs
Publication statusPublished - 2017
Externally publishedYes

Keywords

  • Parameter estimation
  • Random segment process
  • Stem cell
  • Stress fibre

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