Mathematical Geology

, Volume 34, Issue 6, pp 671–677

Kriging of Regionalized Directions, Axes, and Orientations II: Orientations

  • K. Gerald van den Boogaart
  • Helmut Schaeben

DOI: 10.1023/A:1019849125046

Cite this article as:
van den Boogaart, K.G. & Schaeben, H. Mathematical Geology (2002) 34: 671. doi:10.1023/A:1019849125046


The problem to predict a rotation (orientation) from corresponding geocoded data is discussed and a general solution by virtue of embedding the group of rotations in a real vector space is presented. It is referred to as kriging in embedding spaces as developed in part I of this contribution, and basically the same arguments apply and lead to equivalent results. However, the assumptions of isotropy have to be restated and reinterpreted. A one-to-one correspondence of reasonable isotropy assumptions for rotations represented as axes and for rotations represented by matrices does not seem to exist.

geostatistic manifolds regionalized rotations isotropy assumptions 

Copyright information

© International Association for Mathematical Geology 2002

Authors and Affiliations

  • K. Gerald van den Boogaart
    • 1
  • Helmut Schaeben
  1. 1.Mathematical Geology and Computer Sciences in GeologyFreiberg University of Mining and TechnologyFreibergGermany