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Publications in Journals


o Grain detection from 2d and 3d EBSD data - Specification of the MTEX algorithm (pdf)
F.Bachmann, R. Hielscher, H. Schaeben: Ultramicroscopy, 111, 1720-1733, 2011.

o Calculating anisotropic physical properties from texture data using the MTEX open source package (pdf)
D.Mainprice, R. Hielscher, H. Schaeben: Prior, D.J., Rutter, E.H., Tatham, D. J. (eds) Deformation Mechanisms, Rheology and Tectonics: Microstructures, Mechanics and Anisotropy. Geological Society, London, Special Publications, 360, 175-192, 2011.

o Material Behavior: Texture and Anisotropy (pdf)
R. Hielscher, D. Mainprice, H. Schaeben: in Handbook of Geomathematics, W. Freeden, M. Z. Nashed, T, Sonar (Eds.), Springer, 2010.

o Inferential statistics of electron backscatter diffraction data from within individual crystalline grains (pdf)
F. Bachmann, R. Hielscher, P. E. Jupp, W. Pantleon, H. Schaeben, E. Wegert: J. Appl. Cryst. 43, 1338-1355, 2010.

o Fast summation of functions on the rotation group (pdf)
R. Hielscher, J. Prestin, A. Vollrath, Math. Geosci., 42, 773-794, 2010.

o Texture analysis with MTEX- Free and open source software toolbox (pdf)
F. Bachmann, R. Hielscher, H. Schaeben: Solid State Phenomena, 160, 63-68, 2010.

o Orientation Distribution Within a Single Hematite Crystal (pdf)
R. Hielscher, H. Schaeben, H. Siemes: Math. Geosci., 42, 395-375, 2010.

o Reconstruction from circular and spherical mean data (pdf)
F. Filbir, R. Hielscher, W.R. Madych: Appl. Comput. Harmon. Anal., 29, 111 - 120, 2010.

o The generalized totally geodesic Radon transform and its application to texture analysis (pdf)
S. Bernstein, R. Hielscher, H. Schaeben: Math. Methods Appl. Sci., 32, 379 - 394, 2009.

o A novel pole figure inversion method: specification of the MTEX algorithm (pdf)
R. Hielscher, H. Schaeben: J. Appl. Cryst. 41, 1024-1037, 2008

o The radon transform on SO(3); a Fourier slice theorem and numerical inversion (pdf)
R. Hielscher, D. Potts, J. Prestin, H. Schaeben, M. Schmalz: Inverse Problems 24, 025011 - 025032, 2008

o Multi-scale texture modeling (pdf)
R. Hielscher, H. Schaeben: Math. Geosci., 40, 63 - 82, 2008

o Quantifying rock fabrics - a test of independence of the spatial distribution of crystals
J.R. McKenzie, Egozcue, R. Heilbronner, R. Hielscher, A. Mueller, H. Schaeben: CoDaWork 2008, Girona, Spain, May 27-30, 2008

o On the calibration of fission-track annealing models (pdf)
S. Guedes, R. Jonckheere, P.A.F.P. Moreira, R. Hielscher: Chem. Geol., 248, 1-13, 2007

o Orientation density function-controlled pole probability density function measurements: automated adaptive control of texture goniometers. (pdf)
H. Schaeben, R. Hielscher, J. J. Fundenberger, D. Potts and J. Prestin: J. Appl. Cryst., 40, 570-579, 2007.

o On the entropy to texture index relationship in quantitative texture analysis (pdf)
R. Hielscher, H. Schaeben, D. Chateigner: J. Appl. Cryst., 40, 371-375, 2007.

o Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis (pdf)
K. van den Boogaart, R. Hielscher, J. Prestin, H. Schaeben: J. Comp. Appl. Math., 199, 122-140, 2006.

o High Resolution Texture Analysis with Spherical Wavelets (pdf)
H. Schaeben, S. Bernstein, R. Hielscher, J. Beckmann, J. Keiner, J. Prestin: Materials Science Forum, 495-497, 245-254, 2005.

o Determination of an ODF from Diffraction Measurements Based on Optimal Smoothing Splines (pdf)
K.G. van den Boogaart, R. Hielscher: Materials Science Forum, 495-497, 267-272, 2005.

o Common Basics of Mathematical Texture Analysis (pdf)
S. Bernstein, R. Hielscher, H. Schaeben Materials Science Forum, 495-497, 277-282, 2005.

o PDF-to-ODF Inversion by Approximation with Spherical Radial Basis Functions (pdf)
R. Hielscher, S. Bernstein, H. Schaeben, K.G. van den Boogaart, J. Beckmann, J. Prestin: K.G. van den Boogaart, R. Hielscher: Materials Science Forum, 495-497, 313-318, 2005.

Preprints

o Kernel Density Estimation on the Rotation Group (pdf)
R. Hielscher, Preprint 2010-7, Fakultät für Mathematik, TU Chemnitz, 2010.

Dissertation

o The Radon Transform on the Rotation Group - Inversion and Application to Texture Analysis (pdf)
R. Hielscher, Thesis, Freiberg, 2007.

Patente

o Verfahren zum Steuern eines Texturgoniometers im Rahmen eines texturanalytischen Untersuchung einer Probe und Vorrichtung zum Steuern eines Texturgoniometers im Rahmen eines texturanalytischen Untersuchung einer Probe (pdf)
H. Schaeben, R. Hielscher, J. Prestin, D. Potts, Deutsches Patent und Markenamt, DE 10 2006 053 433 B3 (2008).