Forschung

Mathematische Bildverarbeitung und Computer Vision

Zusätzlich zu meiner Selbständigkeit betreibe ich auch noch Forschung. Sollten Sie an einer wissenschaftlichen Zusammenarbeit interessiert sein oder Fragen zu meiner Arbeit haben, kontaktieren Sie mich bitte per E-Mail.

Mein Forschungsinteresse liegt hauptsächlich im Bereich der mathematischen Bildverarbeitung und Computer Vision und ist nicht auf die folgenden Themen begrenzt:

• 3D-Rekonstruktion (Shape from Shading, Photometric Stereo)
• Modellierung
• Numerik
• Fast Marching Verfahren
• Energiebasierte Verfahren (Variationsansätze)
• Diffusions-/Osmosefilter
• Interpolation

Veröffentlichungen

Konferenzpaper

• 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.

Journalpaper

• 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.

Abschlussarbeiten

• 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.

Vorträge und Vorlesungen

• 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

Tätigkeit als Gutachter

Journals

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

Konferenzen

• 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