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Dr. Ralf Hielscher
Publikationen

Preprints

Publications in Journals (Publications and Citations in Google Scholar)

  • Orientations - perfectly colored (pdf)
    G. Nolze, R. Hielscher: Journal of Applied Crystallography, 49, 1786-1802, (2016).

  • Reconstructing a Function on the Sphere from Its Means Along Vertical Slices (pdf)
    R. Hielscher, M. Quellmalz: Inverse Problems and Imaging, 10 (3), 711-739, (2016).

  • Restoration of Manifold-Valued Images by Half-Quadratic Minimization (pdf)
    R. Bergmann, R. H. Chan, R. Hielscher, J. Persch, G. Steidl, Inverse Problems and Imaging, 10 (2), 281-304, 2016.

  • Optimal molifiers for spherical deconvolution (pdf)
    R. Hielscher, M. Quellmalz: Inverse Problems, 31, art. no. 085001, 2015.

  • Global optimization on the torus, the sphere and the rotation group (pdf)
    M. Gräf, R. Hielscher: SIAM J. Optim., 25, 540 - 564, 2015.

  • Calculating anisotropic piezoelectric properties from texture data using the MTEX open source package (pdf)
    D. Mainprice, F. Bachmann, R. Hielscher, H. Schaeben: Geological Society, London, Special Publications, 409, 2014.

  • Descriptive tools for the analysis of texture projects with large datasets using MTEX: strength, symmetry and components (pdf)
    D. Mainprice, F. Bachmann, R. Hielscher, H. Schaeben: Geological Society, London, Special Publications, 409, 2014.

  • Numerical Inversion of the Funk transform on the Rotation Group (pdf)
    R. Hielscher: Inverse Problems, 29, art. no. 125014, 2013.

  • Kernel Density Estimation on the Rotation Group and its Application to Crystallographic Texture Analysis (pdf)
    R. Hielscher: J. Multivariate Anal., 119, 119 - 143, 2013.

  • Efficient and accurate computation of spherical mean values at scattered center points (pdf)
    T. Görner, R. Hielscher, S. Kunis: Inverse Prob. Imaging, 6, 645 - 661, 2012.

  • Optimizing the experimental design of texture goniometry (pdf)
    F.Bachmann, R. Hielscher, H. Schaeben: J. Appl. Cryst., 45, 1173-1181, 2012.

  • 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.

  • 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.

  • 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.

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

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

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

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

  • 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.

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

  • 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

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

  • 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

  • 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.

  • 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.

  • 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.

Proceedings Papers and Book Chapters

  • Structures: Orientation Texture
    S. Wright, R. Hielscher: Elsevier Reference Module in Materials Science and Materials Engineering, 2016, accepted.

  • 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.

  • 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

  • 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.

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

  • 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.
  • 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.

Dissertation

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

Patents

  • 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).