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)


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.


Stochastic Process Brownian Motion Geographical Information Structure Function Curve Surface 
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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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