Mehrgitterverfahren in der Bildverarbeitung

Internally funded project


Project Details

Project leader:
Prof. Dr. Ulrich Rüde

Project members:
Prof. Dr. Harald Köstler

Contributing FAU Organisations:
Lehrstuhl für Informatik 10 (Systemsimulation)
Technische Fakultät

Start date: 01/01/2002
End date: 31/12/2011


Abstract (technical / expert description):

The use of PDEs in image processing is internationally a recent field of research. The project deals with the development of a multigrid framework for variational approaches in image processing. As applications we consider e.g. optical flow to estimate motion in image sequences, image inpainting for noise reduction, error correction or compression of video data, non-rigid image registration of medical data sets or tomographic image reconstruction.
In that cases multigrid techniques can be valuable. In the context of the project we develop a parallel C++ code in order to be able to handle also bigger, real medical datasets.


Publications
Go to first page Go to previous page 1 of 2 Go to next page Go to last page

Stürmer, M., Köstler, H., & Rüde, U. (2008). A fast full multigrid solver for applications in image processing. Numerical Linear Algebra With Applications, 15, 187-200. https://dx.doi.org/10.1002/nla.563
Köstler, H. (2008). A Multigrid Framework for Variational Approaches in Medical Image Processing and Computer Vision (Dissertation).
Köstler, H., Ruhnau, K., & Roman, W. (2008). Multigrid solution of the optical flow system using a combined diffusion- and curvature-based regularizer. Numerical Linear Algebra With Applications, 15, 201-218. https://dx.doi.org/10.1002/nla.576
Kalmoun, E.M., Köstler, H., & Rüde, U. (2007). 3D optical flow computation using a parallel variational multigrid scheme with application to cardiac C-arm CT motion. Image and Vision Computing, 25(9), 1482-1494. https://dx.doi.org/10.1016/j.imavis.2006.12.017
Mayer, M.A., Borsdorf, A., Köstler, H., Hornegger, J., & Rüde, U. (2007). Nonlinear Diffusion Noise Reduction in CT Using Correlation Analysis. In Hornegger Joachim, Mayr Ernst W., Schookin Sergey, Feußner Hubertus, Navab Nassir, Gulyaev Yuri V., Höller Kurt, Ganzha Victor (Eds.), 3rd Russian-Bavarian Conference on Biomedical Engineering (pp. 155-159). Erlangen, DE: Erlangen: Union aktuell.
Mayer, M.A., Borsdorf, A., Köstler, H., Hornegger, J., & Rüde, U. (2007). Nonlinear Diffusion vs. Wavelet Based Noise Reduction in CT Using Correlation Analysis. In Lensch H.P.A., Rosenhahn B., Seidel H.-P., Slusallek P., Weickert J. (Eds.), Vision, Modelling, and Visualisation 2007 (pp. 223-232). Saarbrücken, DE: Saarbrücken: Max-Planck-Institut fuer Informatik.
Hornegger, J., Köstler, H., Rüde, U., & Prümmer, M. (2006). Adaptive variational sinogram interpolation of sparsely sampled CT data. In Proceedings of the ICPR 2006 (pp. 778-781). Hong Kong, CN.
Popa, C. (2006). Algebraic multigrid for general inconsistent linear systems: Preliminary results.
Köstler, H., Popa, C., & Rüde, U. (2006). Algebraic multigrid for general inconsistent linear systems: The correction step.
Köstler, H., Thürey, N., Rüde, U., & Zheng, Y. (2006). Enhanced Motion Blur Calculation with Optical Flow. In Proceedings of Vision, Modeling and Visualization 2006 (pp. 253-260). Aachen: Aachen: IOS Press.

Last updated on 2019-29-03 at 14:05