Dr. Martin Riplinger - Institut für Angewandte Mathematik

pic riplinger

Research Interests

Numerical Inversion of the spherical Radon transform and the spherical cosine transform
Theory of Inverse Problems
Optimization
Mathematics of finance

Numerische Inversion der sphärischen Radon- und der Kosinus-Transformation Oberseminar Angewandte Mathematik, Saarbrücken, November 2009
Numerische Inversion der Kosinus-Transformation zur Schätzung der Richtungsverteilung von Geradenprozessen ITWM Kaiserslautern, Dezember 2009 (Talk together with Malte Spiess)
Numerical Inversion of the Spherical Radon and the Cosine Transform in R³ 9th German Open Conference on Probability and Statistics, March 2010
Inversion algorithms for the spherical Radon and cosine transforms

Mathematics and Algorithms in Tomography (Oberwolfach), April 2010 (Talk together with Malte Spiess)

Numerische Inversion der sphärischen Radon- und der Kosinus-TransformationUniversität Wien (Arbeitsgruppe Prof. Scherzer), Juli 2011

31. Oktober 1981	Day of birth
2001	Graduated from Marie-Luise-Kaschnitz-Gymnasium
07/2001-04/2002	Civilean service (at Arbeiterwohlfahrt Landesverband Saarland e.V.)
2002-2007	Studies of mathematics at the Saarland University
2007	Diplom thesis at IAM: Lernen als inverses Problem und deterministische Fehlerabschätzung bei Support Vektor Regression
since 2007	Research assistant
02/2012	Doctorate degree (rer. nat.), Title of the thesis: Numerische Inversion der sphärischen Radontransformation und der Kosinustransformation.

Krause, M., Riplinger, M., Louis, A.K., Xu, C.: A new class of very efficient algorithms for local dimming Optim Eng (2018) 19: 1
M. Riplinger, M. Krause, A.K. Louis, C. Xu: A new local dimming algorithm based on the simplex method Comput Optim Appl (2016) 64: 243
M. Riplinger and M.Spiess: Numerical inversion of the spherical Radon transform and the cosine transform using the approximate inverse with a special class of locally supported mollifiers Journal of Inverse and Ill-Posed Problems 22 (2014), 497–536
M. Riplinger and M. Spiess: Asymptotic Properties of the A.I. Estimator for Directional Distributions Advances in Applied Probability, Volume 44, Number 4 (2012), 954-976
A. K. Louis, M. Riplinger, M. Spiess and E. Spodarev: Inversion algorithms for the spherical Radon and cosine transform Inverse Problems 27 (2011) 035015 (25pp)