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Publications, subproject 03BiBTeX



    Monograph

  1. O. Scherzer, M. Grasmair, H. Grossauer, M. Haltmeier, and F. Lenzen. Variational Methods in Imaging. Springer Publishing Company, Incorporated, 2008. ISBN 0387309314, 9780387309316.

    Journal Articles

  2. M. Fuchs, B. Jüttler, O. Scherzer, and H. Yang. Shape metrics based on elastic deformations. J. Math. Imaging Vision 35/1 (2009), 86-102. [doi].
  3. C. Fiegl and C. Pontow. Online scheduling of pick-up and delivery tasks in hospitals. J. of Biomedical Informatics 42/4 (2009), 624-632. [doi].
  4. M. Grasmair. Well-posedness and convergence rates for sparse regularization with sublinear lq penalty term. Inverse Probl. Imaging 3/3 (2009), 383-387.
  5. J. Abhau and O. Scherzer. A combinatorial method for topology adaptations in 3d deformable models. Int. J. Comput. Vision (2009).
  6. M. Grasmair, M. Haltmeier, and O. Scherzer. Sparse regularization with lq penalty term. Inverse Problems 24/5 (2008), 1-13.
  7. M. Grasmair and A. Obereder. Generalizations of the taut string method. Numerical Functional Analysis and Optimization 29/3 (2008), 346-361.
  8. T. Fidler, M. Grasmair, and O. Scherzer. Identifiability and reconstruction of shapes from integral invariants. Inverse Problems and Imaging 2/3 (2008), 341-354.
  9. M. Fuchs and O. Scherzer. Regularized reconstruction of shapes with statistical a priori knowledge. International Journal of Computer Vision 79/2 (2008), 119-135.
  10. M. Burger, K. Frick, S. Osher, and O. Scherzer. Inverse total variation flow. Multiscale Model. Simul. 6/2 (2007), 366-395.
  11. R. Feichtinger, M. Fuchs, B. Jüttler, O. Scherzer, and H. Yang. Dual evolution of planar parametric spline curves and t-spline level sets. Computer-Aided Design 40/1 (2007), 13-24.
  12. F. Frühauf, B. Gebauer, and O. Scherzer. Detecing interfaces in a parabolic-elliptic problem from surface measurements. SIAM J. Num. Anal. 45 (2007), 810-836.
  13. F. Frühauf and H. Grossauer. Solving constraint ill-posed problems using Ginzburg-Landau regularization functionals. Journal of Inverse and Ill-posed Problems (2007), accepted.
  14. 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 (2007), to appear.
  15. 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.
  16. 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.
  17. 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.
  18. A. Obereder, O. Scherzer, and A. Kovac. Bivariate density estimation using BV regularisation. Computational Statistics and Data Analysis (2007), to appear.
  19. E. Resmerita and O. Scherzer. Error estimates for non-quadratic regularization and the relation to enhancing. Inverse Problems 22 (2006), 801-814.
  20. F. Lenzen, O. Scherzer, and S. Schindler. Robust reconstruction from chopped and nodded images. Astronomy & Astrophysics 443 (2005), 1087- 1093.
  21. 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

  22. M. Grasmair. Locally adaptive total variation regularization. In SSVM '09: Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision, pages 331-342, Berlin, Heidelberg, 2009. Springer-Verlag, ISBN 978-3-642-02255-5. [doi].
  23. O. Scherzer and B. Walch. Sparsity regularization for radon measures. In SSVM '09: Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision, pages 452-463, Berlin, Heidelberg, 2009. Springer-Verlag, ISBN 978-3-642-02255-5. [doi].
  24. J. Abhau, Z. Belhachmi, and O. Scherzer. On a decomposition model for optical flow. In 7th Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR'09), pages 126-139. Springer, 2009.
  25. F. Lenzen and O. Scherzer. A geometric pde for interpolation of m-channel data. In SSVM '09: Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision, pages 413-425, Berlin, Heidelberg, 2009. Springer-Verlag, ISBN 978-3-642-02255-5. [doi].
  26. M. Fuchs and S. Gerber. Variational shape detection in microscope images based on joint shape and image feature statistics. In CVPR Workshops 2008. IEEE Computer Society Conference on, pages 1-8, 2008.
  27. 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.
  28. K. Frick and O. Scherzer. Convex inverse scale spaces. In F. Sgallari, A. Murli, and N. Paragios, editors, Scale Space 2007, number 4485 in Lecture Notes in Computer Science, pages 313-325. Springer, 2007.
  29. 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.
  30. J. Abhau and O. Scherzer. A combinatorial method for topology adaptations in deformable models. In 3D Proceedings 2007, 2007. submitted.
  31. 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.
  32. M. Fuchs and O. Scherzer. Segmentation of biologic image data with a-priori knowledge. In Proc. Eurogen 2007, 2007. submitted.
  33. H. Yang, M. Fuchs, B. Jüttler, and O. Scherzer. Evolution of t-spline level sets with distance field constraints for geometry reconstruction and image segmentation. In Shape Modeling International, pages 247-252. IEEE Press, 2006.

    Technical Reports

  34. M. Grasmair. Generalized bregman distances and convergence rates for non-convex regularization methods. Technical Report 104, FSP 092: Joint Research Program of Industrial Geometry, May 2010.
  35. M. Grasmair. A coarea formula for anisotropic total variation regularisation. Technical Report 103, FSP 092: Joint Research Program of Industrial Geometry, May 2010.
  36. M. Grasmair. A locally adaptive total variation based algorithm for image restoration. Technical Report 102, FSP 092: Joint Research Program of Industrial Geometry, May 2010.
  37. A. De Cezaro, O. Scherzer, and J. P. Zubelli. Convex regularization of local volatility models from option prices: Convergence analysis and rates. Technical Report 101, FSP 092: Joint Research Program of Industrial Geometry, April 2010.
  38. J. Abhau, O. Aichholzer, S. Colutto, B. Kornberger, and O. Scherzer. Shape spaces via medial axis transforms for segmentation of 3d voxel data. Technical Report 92, FSP 092: Joint Research Program of Industrial Geometry, January 2010.
  39. M. Grasmair. Non-convex sparse regularization. Technical Report 86, FSP 092: Joint Research Program of Industrial Geometry, May 2009.
  40. F. Lenzen and O. Scherzer. Morphological partial differential equations for optical flow computations and applications to image interpolation. Technical Report 85, FSP 092: Joint Research Program of Industrial Geometry, May 2009.
  41. M. Grasmair and F. Lenzen. Anisotropic total variation filtering. Technical Report 84, FSP 092: Joint Research Program of Industrial Geometry, April 2009.
  42. C. Pöschl, J. Modersitzki, and O. Scherzer. A variational setting for volume constrained image registration. Technical Report 83, FSP 092: Joint Research Program of Industrial Geometry, February 2009.
  43. F. Lenzen and O. Scherzer. A geometric pde for interpolation of m-channel data. Technical Report 82, FSP 092: Joint Research Program of Industrial Geometry, February 2009.
  44. M. Grasmair. Locally adaptive total variation regularization. Technical Report 81, FSP 092: Joint Research Program of Industrial Geometry, February 2009.
  45. P. Elbau, M. Grasmair, O. Scherzer, and F. Lenzen. Evolution by non-convex functionals. Technical Report 75, FSP 092: Joint Research Program of Industrial Geometry, September 2008.
  46. J. Abhau and O. Scherzer. A combinatorial method for topology adaptations in 3D deformable models. Technical Report 72, FSP 092: Joint Research Program of Industrial Geometry, July 2008.
  47. 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.
  48. M. Fuchs, B. Jüttler, O. Scherzer, and H. Yang. Shape metrics based on elastic deformations. Technical Report 71, FSP 092: Joint Research Program of Industrial Geometry, June 2008.
  49. M. Grasmair. Well-posedness and convergence rates for sparse regularization with sublinear lq penalty term. Technical Report 74, FSP 092: Joint Research Program of Industrial Geometry, August 2008.
  50. H. Grossauer and P. Thoman. GPU-based multigrid: Real-time performance in high resolution nonlinear image processing. Technical Report 68, FSP 092: Joint Research Program of Industrial Geometry, May 2008.
  51. M. Grasmair. Convex regularization methods with non-uniform total variation penalization. Technical Report 57, FSP 092: Joint Research Program of Industrial Geometry, October 2007.
  52. T. Fidler, M. Grasmair, H. Pottmann, and O. Scherzer. Inverse problems of integral invariants and shape signatures. Technical report, FSP report no. 40, 2007.
  53. M. Fuchs and O. Scherzer. Segmentation of biologic image data with a-priori knowledge. Technical report, FSP report no. 52, 2007.



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