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

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Case Studies in Spatial Point Process Modeling

Part of the book series: Lecture Notes in Statistics ((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.

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Author information

Authors and Affiliations

  1. Department of Applied Information Processing and Department of Stochastics, University of Ulm, D-89069, Ulm, Germany

    Frank Fleischer

  2. Department of Internal Medicine I, University Hospital Ulm, D-89070, Ulm, Germany

    Michael Beil

  3. Department of Systematic Botany and Ecology, University of Ulm, D-89069, Ulm, Germany

    Marian Kazda

  4. Department of Stochastics, University of Ulm, D-89069, Ulm, Germany

    Volker Schmidt

Authors
  1. Frank Fleischer
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  2. Michael Beil
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  3. Marian Kazda
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  4. Volker Schmidt
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Western Australia, Nedlands, 6907, Australia

    Adrian Baddeley

  2. Department of Mathematics, Universitat Jaume 1 of Castellon, Castellon, 12071, Spain

    Pablo Gregori  & Jorge Mateu  & 

  3. INRA - Biometrie, Domaine St. Paul, Site Agroparc, 84914, Avignon, Cedex 9, France

    Radu Stoica

  4. Institut für Stochastik, TU Bergakademie Freiberg, Prüferstraße 9, D-09596, Freiberg, Germany

    Dietrich Stoyan

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Fleischer, F., Beil, M., Kazda, M., Schmidt, V. (2006). Analysis of Spatial Point Patterns in Microscopic and Macroscopic Biological Image Data. In: Baddeley, A., Gregori, P., Mateu, J., Stoica, R., Stoyan, D. (eds) Case Studies in Spatial Point Process Modeling. Lecture Notes in Statistics, vol 185. Springer, New York, NY. https://doi.org/10.1007/0-387-31144-0_13

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