Bernhard Burgeth
received his diploma and doctoral degree in mathematics from
the University of ErlangenN\"urnberg (Germany) in 1991 and 1996,
respectively.
He worked as research assistant at the University of
ErlangenN\"urnberg, as researcher (DFG research grant) at
McGill University, Montreal (Canada), and the Technical
University Eindhoven (The Netherlands).
At the Karlsruhe Research Center he was involved for four years
with the numerical simulation of combustion processes.
He joint the Mathematical Image Analysis Group of
Professor Weickert in 2002 where he is currently an assistant
professor at Saarland University (Saarbr\"ucken, Germany).
His research interests comprises mathematical modelling,
probabilistic concepts, and methods based on differential
equations in image processing.
More recent research is focused on image processing tools for
tensor/matrix fields and their applications.
His habilitation thesis is entitled
"Scale Space Analysis and Matrix Field Processing".
Mathematical methods in image processing, in particular
 partial differential equations
 processing of tensor fields
 scale space analysis
 mathematical morphology
 analytic and stochastic tools for image processing
 applications to medical image analysis
Organiser (together with David H. Laidlaw)
Program Committee
Invited Talks
BMT, Technical University Eindhoven, 09.07.2003.
LevelSet Methods for TensorValued Data.
Faculty of Mathematics and Computer Science, University of Passau, 14.06.2005.
Analysis of Matrixvalued Data in Image Processing.
CWI, Amsterdam, 10.05.2006,
Mathematical Morphology for MatrixFields
Institute for Embedded Systems, Technical University Eindhoven, 11.05.2006.
Mathematical Morphology for MatrixFields
Conference: Mathematics and Image Analysis, MIA'06
University Paris Dauphine, Paris, 18.21. September, 2006
Morphology for MatrixFields: Ordering vs PDEBased Approach
GSF, Munich Neuherberg, 25.10.2006.
Approaches to Morphology for MatrixFields
Workshop: Image Analysis and Inverse Problems
TU/e, Eindhoven, 10.13. December, 2006
Nonlinear PDEs for the Processing of MatrixFields
Workshop: Journées de Metz 2007
Mathematics Laboratory LMAM  University of Metz, 3.4. May, 2007
PDEbased Image Compression
Faculty of Mathematics, Lübeck University, 27. 06. 2007
PDEBased Image Processing for Matrix Fields
Workshop: Workshop on Bioimaging II / PDEs
ohann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, 19.23. November, 2007
PDEs for the Processing of Tensor Fields
Lecture in winter term 2008/2009:
Probabilistic Methods in Image Analysis
(in English)
Seminar in the winter term 2002/2003 (with Prof. Weickert):
Level Set Methods
(in English)
Lecture in summer term 2003:
Konvexe Analysis:
Einführung und Anwendungen
(in German)
Lecture in winter term 2003/04:
Mathematical Morphology in Image Processing
(in English)
Lecture in winter term 2004/05:
Probabilistic Methods in Image Processing
(in English)
Seminar in the winter term 2004/05:
Geometrische Algebra im ComputerVisionBereich
Lecture in summer term 2005:
Differential Equations in Image Processing and Computer Vision
(in English)
Lecture in winter term 2005/06:
Introduction to Pattern Recognition
(in English)
Seminar in winter term 2005/06:
Visualisation and Processing of Tensor Fields
(in English)
Lecture in winter term 2006/07:
Image Processing and Computer Visison
(in English)
Lecture in summer term 2007:
Mathematical Morphology in Image Processing
(in English)
Lecture in winterterm 2007/08:
Mathematik für Informatiker III
Lecture in summer term 2008:
Integral Equations in Visual Computing
(in English)

B. Burgeth, M. Breuß, S. Didas, J. Weickert:
PDEbased Morphology for Matrix Fields: Numerical Solution Schemes.
Technical Report No. 220, Faculty of Mathematics and Computer Science,
Saarland University, Saarbrücken, Germany, September 2008.

S. Didas, J. Weickert, B. Burgeth:
Properties of Higher Order Nonlinear Diffusion Filtering.
Technical Report No. 215, Department of Mathematics, Saarland
University, Saarbrücken, Germany, August 2008.

L. Pizarro, B. Burgeth, S. Didas, J. Weickert:
A generic neighbourhood filtering framework for matrix fields
European Conference on Computer Vision – ECCV 2008
Lecture Notes in Computer Science, Springer, Berlin, 2008, accepted for publication.

M. Krause, R. M. Alles, B. Burgeth, J. Weickert
Retinal vessel detection via second derivative of local Radon transform
Technical Report No. 212, Department of Mathematics, Saarland
University, Saarbrücken, Germany, June 2008.

S. Tari, B. Burgeth, I. Tari
How to Use a Modified Laplacian for Shape Analysis
submitted to IEEE Transactions PAMI.

Z. Belhachmi, D. Bucur, B. Burgeth, J. Weickert:
How to choose Interpolation Data in Images.
Technical Report No. 205, Department of Mathematics,
Saarland University, Saarbrücken, Germany, 2008.

B. Burgeth, S. Didas, and J. Weickert.
A General Structure Tensor Concept and CoherenceEnhancing Diffusion Filtering for Matrix Fields
Technical Report No. 197, Department of Mathematics,
Saarland University, Saarbrücken, Germany, July 2007.

S. Setzer, G. Steidl, B. Popilka and B. Burgeth.
Variational methods for denoising matrix fields,
In: D. H. Laidlaw and J. Weickert (Eds): Visualization and Processing of Tensor Fields: Advances and Perspectives.
Springer, Berlin, in print.

B. Burgeth, S. Didas, L. Florack, and J. Weickert.
A generic approach to diffusion filtering of matrixfields.
Computing, vol. 81, 179–197, Springer, Berlin, 2007.

G. Steidl, S. Setzer, B. Popilka, and B. Burgeth.
Restoration of matrix fields by SOCP.
Computing, vol. 81, 161–178, Springer, Berlin, 2007.

M. Breuß, B. Burgeth, J. Weickert:
Anisotropic continuousscale morphology.
In Proceedings of the 3rd Iberian Conference on Pattern Recognition and
Image Analysis, IbPRIA, June 6–8, 2007, Girona, Spain,
Lecture Notes in Computer Science, Springer, Berlin, 2007.

B. Burgeth, S. Didas, L. Florack, and J. Weickert.
Singular PDEs for the processing of matrixvalued data.
In F. Sgallari, A. Murli, and N. Paragios, editors, ScaleSpace
and Variational Methods in Image Processing, Lecture Notes in Computer
Science, vol. 4485, 556567, Springer, Berlin, 2007.

R. Duits, B. Burgeth:
Scale spaces on Lie groups.
In F. Sgallari, A. Murli, and N. Paragios, editors, ScaleSpace
and Variational Methods in Image Processing, Lecture Notes in Computer
Science, vol. 4485, 300312, Springer, Berlin, 2007.

T. Schultz, B. Burgeth, J. Weickert:
Flexible Segmentation and Smoothing of DTMRI Fields Through a
Customisable Structure Tensor.
Second International Symposium, ISVC 2006 Lake Tahoe.
Lecture Notes in Computer Science, Vol. 4291, 455464,
Springer, Berlin, 2006.
Awarded the ISVC 2006 Best Paper Award.

B. Burgeth, A. Bruhn, S. Didas, J. Weickert, M. Welk:
Morphology for Tensor Data: Ordering versus PDEBased Approach.
Image and Vision Computing, special issue "ISMM 05", 2006, accepted.
Revised version of
Technical Report No. 162, Department of Mathematics,
Saarland University, Saarbrücken, Germany, December 2005.

B. Burgeth, J. Weickert, S. Tari:
Minimally stochastic schemes for singular diffusion equations.
In X.C. Tai, K.A. Lie, T. F. Chan, S. Osher (Eds.):
Image Processing Based on Partial Differential Equations, 325339, Springer, Berlin, 2007.

B. Burgeth, N. Papenberg, A. Bruhn, M. Welk, J. Weickert:
Mathematical Morphology for Tensor Data Induced by the Loewner Ordering in
Higher Dimensions.
Signal Processing, special issue "Tensor Signal Processing", 2006.
Revised version of
Technical Report No. 161, Department of Mathematics,
Saarland University, Saarbrücken, Germany, December 2005.

M. Welk, J. Weickert, F. Becker, C. Schnörr, C. Feddern, B. Burgeth:
Median and related local filters for tensorvalued images.
Signal Processing, special issue Tensor Signal Processing,
2006.
Revised version of
Technical Report No. 135, Department of Mathematics,
Saarland University, Saarbrücken, Germany, April 2005.

C. Feddern, J. Weickert, B. Burgeth, M. Welk:
Curvaturedriven PDE methods for matrixvalued images.
International Journal of Computer Vision, 2006.
Revised version of
Technical Report No. 104, Department of Mathematics, Saarland
University, Saarbrücken, Germany, April 2004.

B. Burgeth, M. Welk, Ch. Feddern, J. Weickert:
Mathematical Morphology on Tensor Data Using the Loewner Ordering.
In J. Weickert, H. Hagen (Eds.):
Visualization and Processing of Tensor Fields.
Mathematics and Visualization, 357367, Springer, Berlin, 2006.
Revised version of
Technical Report No. 160, Department of Mathematics,
Saarland University, Saarbrücken, Germany, December 2005.

J. Weickert, C. Feddern, M. Welk, B. Burgeth, T. Brox:
PDEs for tensor image processing.
In J. Weickert, H. Hagen (Eds.):
Visualization and Processing of Tensor Fields, 399414,
Springer, Berlin, 2006.
Revised version of
Technical Report No. 143, Department of Mathematics,
Saarland University, Saarbrücken, Germany, 2005.

M. Welk, C. Feddern, B. Burgeth, J. Weickert:
Tensor median filtering and Msmoothing.
In J. Weickert, H. Hagen (Eds.):
Visualization and Processing of Tensor Fields, 345356,
Springer, Berlin, 2006.

B. Burgeth, S. Didas, J. Weickert:
The Bessel scalespace.
In O. F. Olsen, L. Florack, A. Kuijper (Eds.):
Deep Structure, Singularities, and Computer Vision.
Lecture Notes in Computer Science, Vol. 3753, 84  95, Springer, Berlin, 2005.

S. Didas, J. Weickert, B. Burgeth:
Stability and local feature enhancement of higher order nonlinear
diffusion filtering.
In W. Kropatsch, R. Sablatnig, A. Hanbury (Eds.): Pattern Recognition.
Lecture Notes in Computer Science, Vol. 3663, 451458,
Springer, Berlin, 2005.

B. Burgeth, J. Weickert:
An explanation for the logarithmic connection between linear and
morphological system theory.
International Journal of Computer Vision, Vol. 64, No. 2/3, 157169,
Sept. 2005.
Revised version of
Technical Report No. 95, Department of Mathematics,
Saarland University, Saarbrücken, Germany, 2003.

B. Burgeth, N. Papenberg, A. Bruhn, M. Welk, C. Feddern, J. Weickert:
Mathematical morphology based on the Loewner ordering for tensor data.
In C. Ronse, L. Najman, E. Decencière (Eds.):
Mathematical Morphology: 40 Years On. Computational Imaging and Vision, Vol. 30,
Springer, Dordrecht, 407–418, 2005.

B. Burgeth, S. Didas, J. Weickert:
Relativistic scalespaces.
In R. Kimmel, N. Sochen, J. Weickert (Eds.):
ScaleSpace and PDE Methods in Computer Vision.
Lecture Notes in Computer Science, Vol. 3459, Springer, Berlin, 2005.

S. Didas, B. Burgeth, A. Imiya, J. Weickert:
Regularity and scalespace properties of fractional high order linear
filtering.
In R. Kimmel, N. Sochen, J. Weickert (Eds.):
ScaleSpace and PDE Methods in Computer Vision.
Lecture Notes in Computer Science, Vol. 3459, Springer, Berlin, 2005.

T. Brox, J. Weickert, B. Burgeth, P. Mrázek:
Nonlinear structure tensors.
Image and Vision Computing.
Revised version of
Technical Report No. 113, Department of Mathematics,
Saarland University, Saarbrücken, Germany, 2004.

B. Burgeth, M. Welk, C. Feddern, J. Weickert:
Morphological operations on matrixvalued images.
In T. Pajdla, J. Matas (Eds.):
Computer Vision  ECCV 2004.
Lecture Notes in Computer Science, Vol. 3024, Springer, Berlin,
155167, 2004.

C. Feddern, J. Weickert, B. Burgeth:
Levelset methods for tensorvalued images.
In O. Faugeras, N. Paragios (Eds.):
Proc. Second IEEE Workshop on Variational, Geometric and Level Set
Methods in Computer Vision.
Nice, France, 6572. INRIA, Oct. 2003.

M. Welk, C. Feddern, B. Burgeth, J. Weickert:
Median filtering of tensorvalued images.
In B. Michaelis, G. Krell (Eds.): Pattern Recognition.
Lecture Notes in Computer Science, Vol. 2781,
Springer, Berlin, 1724, 2003.
Awarded a DAGM 2003 Paper Prize.

B. Burgeth, J. Weickert:
An explanation for the logarithmic connection between linear and
morphological system theory.
In L. D. Griffin, M. Lillholm (Eds.): Scale Space Methods in Computer
Vision.
Lecture Notes in Computer Science, Vol. 2695, Springer, Berlin, 325339,
2003.
For publications in other fields (pure mathematics and
numerical simulation of combustion processes) please
contact
burgeth at mia.unisaarland.de
Updated by Bernhard Burgeth, September 17th, 2008
