Helmut Schaeben

Personal Home Page

http://www.geo.tu-freiberg.de/mathe/chs_index.html

Articles in Scholarly Journals [Incomplete List]

  1. The Radon transform on SO(3): a Fourier slice theorem and numerical inversion
    Inverse Problems, vol. 24, no. 2, p. 025011, 2008
  2. On the entropy to texture index relationship in quantitative texture analysis
    Journal of Applied Crystallography, vol. 40, no. 2, pp. 371–375, 2007
  3. Orientation density function-controlled pole probability density function measurements: automated adaptive control of texture goniometers
    Journal of Applied Crystallography, vol. 40, no. 3, pp. 570–579, 2007
  4. Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis
    Journal of Computational and Applied Mathematics, vol. 199, no. 1, pp. 122–140, 2007
  5. Comment on “The misorientation index: Development of a new method for calculating the strength of lattice-preferred orientation” by Philip Skemer, Ikuo Katayama, Zhenting Jiang, Shun-ichiro Karato
    Tectonophysics, vol. 441, no. 1-4, pp. 115–117, 2007
  6. A concise quaternion geometry of rotations
    Mathematical Methods in the Applied Sciences, vol. 28, no. 1, pp. 101–126, 2005
  7. A one-dimensional Radon transform onSO(3) and its application to texture goniometry
    Mathematical Methods in the Applied Sciences, vol. 28, no. 11, pp. 1269–1289, 2005
  8. Exploratory orientation data analysis with ω sections
    Journal of Applied Crystallography, vol. 37, no. 5, pp. 683–697, 2004
  9. The Bingham Distribution of Quaternions and Its Spherical Radon Transform in Texture Analysis
    Mathematical Geology, vol. 36, no. 8, pp. 917–943, 2004
  10. Spherical harmonics in texture analysis
    Tectonophysics, vol. 370, no. 1-4, pp. 253–268, 2003
  11. The spherical X-ray transform
    Mathematical Methods in the Applied Sciences, vol. 25, no. 16-18, pp. 1493–1507, 2002
  12. Mathematical Geology, vol. 34, no. 5, pp. 479–503, 2002
  13. Mathematical Geology, vol. 34, no. 6, pp. 671–677, 2002
  14. Texture analysis of heterogeneous data?a farewell to F-coefficients
    Journal of Structural Geology, vol. 22, no. 11-12, pp. 1565–1568, 2000
  15. Crystallographic and magnetic preferred orientation of hematite in banded iron ores
    Journal of Structural Geology, vol. 22, no. 11-12, pp. 1747–1759, 2000
  16. Inverse Problems, vol. 15, no. 6, pp. 1603–1619, 1999
  17. The de la Vallée Poussin Standard Orientation Density Function
    Textures and Microstructures, vol. 33, no. 1-4, pp. 365–373, 1999
  18. The Ill-Posedness of the Inverse Problem of Texture Goniometry: the Variation Width of Feasible Orientation Density Functions Revisited
    Journal of Applied Crystallography, vol. 31, no. 2, pp. 136–148, 1998
  19. Acta Applicandae Mathematicae, vol. 53, no. 1, pp. 59–87, 1998
  20. A Simple Standard Orientation Density Function: The Hyperspherical de la Vall�e Poussin Kernel
    physica status solidi (b), vol. 200, no. 2, pp. 367–376, 1997
  21. Determination and interpretation of preferred orientation with texture goniometry: An application of indicators to maximum entropy pole- to orientation-density inversion
    Mathematical Geology, vol. 28, no. 2, pp. 169–201, 1996
  22. Texture Approximation or Texture Modelling with Components Represented by the von Mises–Fisher Matrix Distribution on SO(3) and the Bingham Distribution on S4++
    Journal of Applied Crystallography, vol. 29, no. 5, pp. 516–525, 1996
  23. Particular solutions of the PDF-to-ODF inversion problem of texture analysis by large-scale mathematical programming
    Journal of Applied Crystallography, vol. 27, no. 2, pp. 177–189, 1994
  24. Analogy and duality of texture analysis by harmonics or indicators
    Journal of Scientific Computing, vol. 9, no. 2, pp. 173–195, 1994
  25. Towards statistics of crystal orientations in quantitative texture anaylsis
    Journal of Applied Crystallography, vol. 26, no. 1, pp. 112–121, 1993
  26. Approximation and geometric modeling with simplex B-splines associated with irregular triangles
    Computer Aided Geometric Design, vol. 8, no. 1, pp. 67–87, 1991
  27. Entropy optimization in quantitative texture analysis.  II. Application to pole-to-orientation density inversion
    Journal of Applied Physics, vol. 69, no. 3, p. 1320, 1991
  28. Practical application of entropy optimization in quantitative texture analysis
    Geological Society, London, Special Publications, vol. 54, no. 1, pp. 375–381, 1990
  29. Computer-aided geometric design of geologic surfaces and bodies
    Mathematical Geology, vol. 22, no. 8, pp. 957–987, 1990
  30. Surface representations reproducing given digitized contour lines
    Mathematical Geology, vol. 22, no. 6, pp. 723–742, 1990
  31. Geology and mathematics: Progressing mathematization of geology
    Geologische Rundschau, vol. 77, no. 2, pp. 591–607, 1988
  32. Entropy optimization in quantitative texture analysis
    Journal of Applied Physics, vol. 64, no. 4, p. 2236, 1988
  33. Comment on “sphere: a contouring program for spherical data”
    Computers & Geosciences, vol. 12, no. 5, pp. 729–729, 1986
  34. A new cluster algorithm for orientation data
    Journal of the International Association for Mathematical Geology, vol. 16, no. 2, pp. 139–153, 1984
  35. Mathematical Modeling of the Orientation Distribution Function by the Vector Method of Quantitative Texture Analysis
    physica status solidi (b), vol. 123, no. 2, pp. 425–434, 1984
  36. Erratum
    Journal of the International Association for Mathematical Geology, vol. 15, no. 4, pp. 579–580, 1983
  37. Fabric-diagram contour precision and size of counting element related to sample size by approximation theory methods
    Journal of the International Association for Mathematical Geology, vol. 14, no. 3, pp. 205–216, 1982