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Analysis of Spatial Point Patterns in Microscopic and Macroscopic Biological Image Data

  • Frank Fleischer
  • Michael Beil
  • Marian Kazda
  • Volker Schmidt
Part of the Lecture Notes in Statistics book series (LNS, volume 185)

Summary

Point process characteristics like for example Ripley’s K-function, the L-function or Baddeley’s J-function are especially useful for cases of data with significant differences with respect to intensities. We will discuss two examples in the fields of cell biology and ecology were these methods can be applied. They have been chosen, because they demonstrate the wide range of applications for the described techniques and because both examples have specific interest- ing properties. While the point patterns regarded in the first application are three dimensional, the second application reveals planar point patterns having a vertically inhomogeneous structure.

Key words

Baddeley’s J-function Centromeric Heterochromatin Structures CSR Planar Sections of Root Systems in Tree Stands Ripley’s K-function 

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Copyright information

© Springer Science+Business Media Inc. 2006

Authors and Affiliations

  • Frank Fleischer
    • 1
  • Michael Beil
    • 2
  • Marian Kazda
    • 3
  • Volker Schmidt
    • 4
  1. 1.Department of Applied Information Processing and Department of StochasticsUniversity of UlmUlmGermany
  2. 2.Department of Internal Medicine IUniversity Hospital UlmUlmGermany
  3. 3.Department of Systematic Botany and EcologyUniversity of UlmUlmGermany
  4. 4.Department of StochasticsUniversity of UlmUlmGermany

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