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Fractale, Brownian Motion, Wiener Process, Krige Variogram, Kolmogorov Structure Function: Geodetic Examples

  • E. W. Grafarend
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 122)

Abstract

The connection between Brownian motion, the Wiener process and fractal geometry is outlined. Incremental stochastic processes are described by incremental variance-covariance functions, called Kolmogorov structure function or Krige variogram.

Geodetic examples (geodetic networks on differential manifolds / curved surfaces) are presented, in particular with respect to spacetime criterion matrices, namely towards stationarity, homogeneity and isotropy.

Keywords

Stochastic Process Brownian Motion Geographical Information Structure Function Curve Surface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • E. W. Grafarend
    • 1
  1. 1.Department of Geodetic ScienceStuttgart UniversityStuttgartGermany

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