Spatial Fibre and Surface Processes — Stereological Estimations and Applications

  • Konrad Sandau
Conference paper
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)


The aim of this paper is to give an introduction to the treatment of spatial fibre and surface processes especially under the aspects of modelling and stereology. In the last two decades mathematical tools were developed for modelling spatial fibres and surfaces as they occur in biology or other scientific disciplines. These tools also allow to quantify characteristics of the objects like length or surface area. In quantitative microscopy actually the objects are sectioned. Therefore the spatial characteristics have to be derived from plane sections. This is the fundamental problem treated in stereology, a mathematical discipline, collecting methods to relate the measurements on sections to the characteristics of three-dimensional structures. Several examples demonstrate in which way theory and applications of this kind can be combined passing the three stages ’modelling, stereology, statistics’.


Point Process Joint Distribution Surface Process Test Line Test Plane 
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Copyright information

© Springer-Verlag Berlin · Heidelberg 1996

Authors and Affiliations

  • Konrad Sandau
    • 1
  1. 1.Fachbereich Mathematik & NaturwissenschaftenFH DarmstadtDarmstadtGermany

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