Papers in Journals

• Gräf, M., Potts, D., Steidl, G.
  Quadrature errors, discrepancies and their relations to halftoning on the torus and the sphere
  SIAM J. Sci. Comput. 34, A2760-A2791, 2012.
• Gräf, M.
  A unified approach to scattered data approximation on S^3 and SO(3)
  Adv. Comput. Math. 37, 379 - 392, 2012.
• Gräf, M., Potts, D.
  On the computation of spherical designs by a new optimization approach based on fast spherical Fourier transforms
  Numer. Math. 119, 699 - 724, 2011.
• Backofen, R., Gräf, M., Potts, D., Praetorius, S., Voigt, A. and Witkowski, T.
  A continuous approach to discrete ordering on S^2
  Multiscale Model. Simul. 9, 314 - 334, 2011.
• Gräf, M. and Schmid, D.
  Probabilistic Marcinkiewicz-Zygmund inequalities on the rotation group
  Math. Geosci. 42, 731 - 746, 2010.
• Gräf, M. and Potts, D.
  Sampling sets and quadrature formulae on the rotation group
  Numer. Funct. Anal. Optim. 30, 665 - 688, 2009.
• Gräf, M., Kunis, S. and Potts, D.
  On the computation of nonnegative quadrature weights on the sphere
  Appl. Comput. Harm. Anal. 27, 124 - 132, 2009.
• Gräf, M. and Kunis, S.
  Stability results for scattered data interpolation on the rotation group
  Electron. Trans. Numer. Anal. 31, 30 - 39, 2008.

Papers in Proceedings

• Gräf, M., Potts, D., Steidl, G.
  Quadrature nodes meet stippling dots
  Lecture Notes in Computer Science 6667, 2011.

Other Documents

• Gräf, M.
  Efficient algorithms for the computation of optimal quadrature points on Riemannian manifolds
  Dissertation, TU Chemnitz, Universitätsverlag Chemnitz, ISBN 978-3-941003-89-7, 2013.
• Gräf, M.
  Stabilität bei der polynomialen Approximation auf der Rotationsgruppe
  Diplomarbeit, TU Chemnitz, 2008.