Research

Mathematical image processing and computer vision

Besides my freelance work I am also active in research. If you are interested in scientific collaboration or have questions about my work, please contact me by e-mail.

My research interests lie mainly in mathematical image processing and computer vision and are not limited to the following topics:

• 3D reconstruction (shape from shading, photometric stereo)
• modelling
• numerical methods
• fast marching methods
• energy-based methods (variational approaches)
• diffusion and osmosis filters
• interpolation

Publications

Conference papers

• O. Vogel, K. Hagenburg, J. Weickert, and S. Setzer, “A Fully Discrete Theory for Linear Osmosis Filtering,” Kuijper, Bredles, Pock, and Bischof, Ed., Berlin: Springer, 2013, vol. 7893, pp. 368–379.
• J. Weickert, K. Hagenburg, M. Breuß, and O. Vogel, “Linear Osmosis Models for Visual Computing,” Heyden, Kahl, Olsson, Oskarsson, and Tai, Ed., Berlin: Springer, 2013, vol. 8081, pp. 25–36.
• O. Vogel and E. Cristiani, “Numerical Schemes for Advanced Reflectance Models for Shape from Shading,” in Proc. IEEE International Conference on Image Processing, Brussels, Belgium, 2011, pp. 5–8.
• M. Breuß, O. Vogel, and J. Weickert, “Efficient Numerical Techniques for Perspective Shape from Shading,” in Proc. of Algoritmy, Podbanske, Slovakia, 2009, pp. 11–20.
• M. Welk, M. Breuß, and O. Vogel, “Differential equations for morphological amoebas,” Wilkinson and Roerdink, Ed., Berlin: Springer, 2009, vol. 5720, pp. 104–114.
• O. Vogel, M. Breuß, T. Leichtweis, and J. Weickert, “Fast shape from shading for Phong-type surfaces,” X. Tai, K. Mørken, M. Lysaker, and K. Lie, Ed., Berlin: Springer, 2009, vol. 5567, pp. 733–744.
• O. Vogel, L. Valgaerts, M. Breuß, and J. Weickert, “Making Shape from Shading Work for Real-World Images,” Denzler, Notni, and Süße, Ed., Berlin: Springer, 2009, vol. 5748, pp. 191–200.
• K. Hagenburg, M. Breuß, O. Vogel, J. Weickert, and M. Welk, “A lattice Boltzmann model for rotationally invariant dithering,” Bebis, Boyle, Parvin, Koracin, Kuno, Wang, Pajarola, Lindstrom, Hinkenjann, Encarnaco, Silva, and Coming, Ed., Berlin: Springer, 2009, vol. 5876, pp. 949–959.
• O. Vogel, M. Breuß, and J. Weickert, “Perspective Shape from Shading with non-Lambertian Reflectance,” Rigoll, Ed., Berlin: Springer, 2008, vol. 5096, pp. 517–526.
• O. Vogel, M. Breuß, and J. Weickert, “A Direct Numerical Approach to Perspective Shape-from-Shading,” in Vision, Modeling, and Visualization, Saarbrücken, Germany, 2007, pp. 91–100.
• O. Vogel, A. Bruhn, J. Weickert, and S. Didas, “Direct Shape-from-Shading with Adaptive Higher Order Regularisation,” Sgallari, Murli, and Paragios, Ed., Berlin: Springer, 2007, vol. 4485, pp. 871–882.

Journal papers

• M. Breuß, E. Cristiani, J. Durou, M. Falcone, and O. Vogel, “Perspective Shape from Shading: ambiguity analysis and numerical approximations,” SIAM Journal on Imaging Sciences, vol. 5, pp. 311–342, 2012.
• M. Welk, M. Breuß, and O. Vogel, “Morphological Amoebas are Self-Snakes,” Journal of Mathematical Imaging and Vision, vol. 39, iss. 2, pp. 87–99, 2011.
• M. Breuß, E. Cristiani, P. Gwosdek, and O. Vogel, “A Domain-Decomposition-Free Parallelisation of the Fast Marching Method,” Applied Mathematics and Computation, vol. 218, pp. 32–44, 2011.
• M. Breuß, E. Cristiani, J. Durou, M. Falcone, and O. Vogel, “Numerical algorithms for perspective shape from shading,” Kybernetika, vol. 46, iss. 2, pp. 207–225, 2010.

Preprints

• M. Breuß, O. Vogel, and Hagenburg, “Newton Interpolation with Extremely High Degrees by Leja Ordering and Fast Leja Points,” Department of Mathematics, Saarland University, Saarbrücken, Germany, 273, 2010.
• M. Breuß, O. Vogel, and J. Weickert, “Efficient Numerical Techniques for Perspective Shape from Shading,” Department of Mathematics, Saarland University, Saarbrücken, Germany, 222, 2008.
• M. Breuß, O. Vogel, and J. Weickert, “Perspective Shape from Shading for Phong-type Non-Lambertian Surfaces,” Department of Mathematics, Saarland University, Saarbrücken, Germany, 216, 2008.

Theses

• O. Vogel, “Perspective Shape from Shading: Models, Algorithms, and Applications,” PhD Thesis, Saarbrücken, Germany, 2010.
• O. Vogel, “Variational Shape from Shading: Direct Depth Recovery and Inhomogeneous Regularisers,” Saarland University, Saarbrücken, Germany, 2006.
• O. Vogel, “Osmosis in Image Processing,” 2006.

Talks and lectures

• Lecture “Image Acquisition Methods”, Winter Semester 2010/2011
• Scale Space and Variational Methods in Computer Science (SSVM), Voss, Norway, 2009
• Annual Symposium of the German Association for Pattern Recognition (DAGM), Jena, Germany, 2009
• Annual Symposium of the German Association for Pattern Recognition (DAGM), Munich, Germany, 2008
• Vision, Modelling and Visualization (VMV), Saarbrücken, Germany, 2007

Reviewer activities

Journals

• International Journal of Computer Vision
• IEEE Transactions on Pattern Analysis and Machine Intelligence
• IEEE Transactions on Image Processing

Conferences

• IEEE International Conference on Image Processing (ICIP) 2011
• Annual Symposium of the German Association for Pattern Recognition (DAGM) 2011
• IEEE Conference on Computer Vision and Pattern Recognition (CVPR) 2009
• Annual Symposium of the German Association for Pattern Recognition (DAGM) 2009
• Scale Space and Variational Methods in Computer Science (SSVM) 2009
• International Conference on Computer Analysis of Images and Patterns (CAIP) 2009
• IEEE Conference on Computer Vision and Pattern Recognition (CVPR) 2008
• Annual Symposium of the German Association for Pattern Recognition (DAGM) 2008
• Vision, Modelling and Visualization (VMV) 2008