Industrial Geometry

Mongraph


1. O. Scherzer, M. Grasmair, H. Grossauer, M. Haltmeier, and F. Lenzen. Variational Methods in Imaging. Springer, 2007. submitted.
   
   Journal articles
   
   
2. M. Grasmair and A. Obereder. Generalizations of the taut string method. Numerical Functional Analysis and Optimization 29/3 (2008), 346-361.
3. T. Fidler, M. Grasmair, and O. Scherzer. Identifiability and reconstruction of shapes from integral invariants. Inverse Problems and Imaging 2/3 (2008), 341-354.
4. M. Fuchs, B. Jüttler, O. Scherzer, and H. Yang. Combined evolution of level sets and B-spline curves for imaging. Computing and Visualization in Science (2008), to appear.
5. M. Fuchs and O. Scherzer. Regularized reconstruction of shapes with statistical a priori knowledge. International Journal of Computer Vision 79/2 (2008), 119-135.
6. M. Burger, K. Frick, S. Osher, and O. Scherzer. Inverse total variation flow. Multiscale Model. Simul. 6/2 (2007), 366-395.
7. T. Fidler, M. Grasmair, H. Pottmann, and O. Scherzer. Inverse problems of integral invariants and shape signatures. (2007), submitted.
8. B. Hofmann, B. Kaltenbacher, C. Pöschl, and O. Scherzer. A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators. Inverse Problems 23/3 (2007), 987-1010.
9. F. Frühauf and H. Grossauer. Solving constraint ill-posed problems using ginzburg-landau regularization functionals. Journal of Inverse and Ill-posed Problems (2007), accepted.
10. M. Haltmeier, R. Kowar, A. Leitao, and O. Scherzer. Kaczmarz methods for regularizing nonlinear ill-posed equations II: Applications. Inverse Problems and Imaging 1 (2007), 507-523.
11. M. Haltmeier, A. Leitao, and O. Scherzer. Kaczmarz methods for regularizing nonlinear ill-posed equations I: Convergence analysis. Inverse Problems and Imaging 1 (2007), 289-298.
12. B. Hofmann, Kaltenbacher, C. Pöschl, and O. Scherzer. A convergence rates result in banach spaces with non-smooth operators. Inverse Problems 23 (2007), 987-1010.
13. A. Obereder, O. Scherzer, and A. Kovac. Bivariate density estimation using BV regularisation. Computational Statistics and Data Analysis (2007), to appear.
14. E. Resmerita and O. Scherzer. Error estimates for non-quadratic regularization and the relation to enhancing. Inverse Problems 22 (2006), 801-814.
15. F. Lenzen, O. Scherzer, and S. Schindler. Robust reconstruction from chopped and nodded images. Astronomy & Astrophysics 443 (2005), 1087- 1093.
16. O. Scherzer, W. Yin, and S. Osher. Slope and G-Set Characterization of Set-Valued Functions and Applications to Non-Differentiable Optimization Problems. Comm. Math. Sci. 3 (2005), 479-492.
    
    Refereed articles in books and conference proceedings
    
    
17. C. Pöschl and O. Scherzer. Characterization of minimizers of convex regularization functionals. In AMS-SIAM Special Session on Frames and Operator Theory in Analysis and Signal Processing, number 451 in Contemporary Mathematics, pages 219-248, 2008.
18. J. Abhau, W. Hinterberger, and O. Scherzer. Segmenting surfaces of arbitrary topology: A two-step approach. In S. Y. Emelianov and S. A. McAleavey, editors, Medical Imaging 2007: Ultrasonic Imaging and Signal Processing, volume 6513 of Proceedings of SPIE, San Diego, CA, 2007.
19. K. Frick and O. Scherzer. Applications of non-convex BV regularization for image segmentation. In X.-C. Tai, K.-A. Lie, T. F. Chan, and S. Osher, editors, Image Processing Based on Partial Differential Equations, Mathematics and Visualization, pages 211-228, New York, 2007. Springer Verlag.
20. K. Frick and O. Scherzer. Convex inverse scale spaces. (2007), 313-325, Lecture Notes in Computer Science 4485.
    
    Technical Reports
    
    
21. M. Grasmaier. Convex regularization methods with non-uniform total variation penalization. Technical Report 57, FSP 092: Joint Research Program of Industrial Geometry, October 2007.
22. S. Colutto, F. Frühauf, M. Fuchs, and O. Scherzer. The CMA-ES on Riemannian manifolds to reconstruct shapes in 3D voxel images. Technical Report 70, FSP 092: Joint Research Program of Industrial Geometry, May 2008.
23. T. Fidler, M. Grasmair, H. Pottmann, and O. Scherzer. Inverse problems of integral invariants and shape signatures. Technical report, FSP report no. 40, 2007.
24. M. Fuchs and O. Scherzer. Segmentation of biologic image data with a-priori knowledge. Technical report, FSP report no. 52, 2007.