@inproceedings{KleefeldJuTozzaetal., author = {Kleefeld, Andreas and Ju, Yong Chul and Tozza, Silvia and Breuß, Michael and Bruhn, Andr{\´e}s}, title = {Generalised Perspective Shape from Shading with Oren-Nayar Reflectance}, series = {Proceedings 24th British Machine Vision Conference, BMVC 2013, Bristol, UK, September 2013}, booktitle = {Proceedings 24th British Machine Vision Conference, BMVC 2013, Bristol, UK, September 2013}, editor = {Burghardt, Tilo and Damen, Dima and Mayol-Cuevas, Walterio and Mirmehdi, Majid}, publisher = {BMVA Press}, doi = {10.5244/C.27.42}, pages = {42.1 -- 42.11}, abstract = {In spite of significant advances in Shape from Shading (SfS) over the last years, it is still a challenging task to design SfS approaches that are flexible enough to handle a wide range of input scenes. In this paper, we address this lack of flexibility by proposing a novel model that extends the range of possible applications. To this end, we consider the class of modern perspective SfS models formulated via partial differential equations (PDEs). By combining a recent spherical surface parametrisation with the advanced non-Lambertian Oren-Nayar reflectance model, we obtain a robust approach that allows to deal with an arbitrary position of the light source while being able to handle rough surfaces and thus more realistic objects at the same time. To our knowledge, the resulting model is currently the most advanced and most flexible approach in the literature on PDE-based perspective SfS. Apart from deriving our model, we also show how the corresponding set of sophisticated Hamilton-Jacobi equations can be efficiently solved by a specifically tailored fast marching scheme. Experiments with medical real-world data demonstrate that our model works in practice and that is offers the desired flexibility.}, language = {en} } @misc{BreussDietrich, author = {Breuß, Michael and Dietrich, Dominik}, title = {On the Optimization of Flux Limiter Schemes for Hyperbolic Conservation Laws}, series = {Numerical Methods for Partial Differential Equations}, volume = {Vol. 29}, journal = {Numerical Methods for Partial Differential Equations}, number = {3}, issn = {1098-2426}, pages = {884 -- 896}, language = {en} } @misc{BreussCristianiDurouetal., author = {Breuß, Michael and Cristiani, Emiliano and Durou, Jean-Denis and Falcone, Maurizio and Vogel, Oliver}, title = {Perspective Shape from Shading: Ambiguity Analysis and Numerical Approximations}, series = {SIAM Journal on Imaging Sciences}, volume = {5}, journal = {SIAM Journal on Imaging Sciences}, number = {1}, issn = {1936-4954}, pages = {311 -- 342}, language = {en} } @inproceedings{JuBreussBruhnetal., author = {Ju, Yong Chul and Breuß, Michael and Bruhn, Andr{\´e}s and Galiani, Silvano}, title = {Shape from Shading for Rough Surfaces: Analysis of the Oren-Nayar Model}, series = {Proceedings 23rd British Machine Vision Conference, BMVC 2012, Surrey, UK, September 3-7, 2012}, booktitle = {Proceedings 23rd British Machine Vision Conference, BMVC 2012, Surrey, UK, September 3-7, 2012}, editor = {Browden, R. and Collomosse, J. and Mikolajczyk, K.}, publisher = {BMVA Press}, isbn = {1-901725-46-4}, doi = {10.5244/C.26.104}, pages = {104.1 -- 104.11}, language = {en} } @incollection{BreussBurgethPizarro, author = {Breuß, Michael and Burgeth, Bernhard and Pizarro, Luis}, title = {Numerical Analysis, Tensor-Valued Extension and Application in Image Processing}, series = {Recent Developments in the Numerics of Hyperbolic Conservation Laws}, booktitle = {Recent Developments in the Numerics of Hyperbolic Conservation Laws}, editor = {Ansorge, Rainer}, publisher = {Springer}, address = {Berlin [u.a.]}, isbn = {978-3-642-33220-3}, pages = {73 -- 87}, language = {en} } @inproceedings{GallianiBreussJu, author = {Galliani, S. and Breuß, Michael and Ju, Yong Chul}, title = {Fast and Robust Surface Normal Integration by a Discrete Eikonal Equation}, series = {Proceedings, 23rd British Machine Vision Conference, BMVC 2012, Surrey, UK, September 3-7, 2012}, booktitle = {Proceedings, 23rd British Machine Vision Conference, BMVC 2012, Surrey, UK, September 3-7, 2012}, editor = {Bowden, R. and Collomosse, J. and Mikolajczyk, K.}, publisher = {BMVA Press}, isbn = {1-901725-46-4}, doi = {10.5244/C.26.106}, pages = {106.1 -- 106.11}, language = {en} } @inproceedings{GallianiJuBreussetal., author = {Galliani, S. and Ju, Yong Chul and Breuß, Michael and Bruhn, Andr{\´e}s}, title = {Generalised Perspective Shape from Shading in Spherical Coordinates}, series = {Proceedings Fourth International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2013, Graz, Austria, June 2013}, booktitle = {Proceedings Fourth International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2013, Graz, Austria, June 2013}, editor = {Kuijper, A. and Pock, T. and Bredies, K. and Bischof, H.}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-642-38266-6}, pages = {222 -- 233}, language = {en} } @incollection{WelkBreuss, author = {Welk, Martin and Breuß, Michael}, title = {Morphological Amoebas and Partial Differential Equations}, series = {Advances in Imaging and Electron Physics}, booktitle = {Advances in Imaging and Electron Physics}, editor = {Hawkes, Peter W.}, publisher = {Elsevier}, address = {Amsterdam}, isbn = {978-0-12-800144-8}, pages = {139 -- 212}, language = {en} } @inproceedings{RhodinBreuss, author = {Rhodin, Helge and Breuß, Michael}, title = {A Mathematically Justified Algorithm for Shape from Texture}, series = {Proceedings Fourth International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2013, Graz, Austria, June 2013}, booktitle = {Proceedings Fourth International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2013, Graz, Austria, June 2013}, editor = {Kuijper, A. and Pock, T. and Bredies, K. and Bischof, H.}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-642-38266-6}, pages = {294 -- 305}, language = {en} } @inproceedings{WeickertHagenburgBreussetal., author = {Weickert, Joachim and Hagenburg, Kai Uwe and Breuß, Michael and Vogel, Oliver}, title = {Linear osmosis models for visual computing}, series = {Energy Minimization Methods in Computer Vision and Pattern Recognition, EMMCVPR 2013, Lund, Sweden, August 2013}, booktitle = {Energy Minimization Methods in Computer Vision and Pattern Recognition, EMMCVPR 2013, Lund, Sweden, August 2013}, editor = {Heyden, A. and Kahl, F. and Olsson, C. and Oskarsson, M. and Tai, X.-C.}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-642-40394-1}, pages = {26 -- 39}, language = {en} } @incollection{PeterBreuss, author = {Peter, Pascal and Breuß, Michael}, title = {Refined Homotopic Thinning Algorithms and Quality Measures for Skeletonisation Methods}, series = {Innovations for Shape Analysis : Models and Algorithms}, booktitle = {Innovations for Shape Analysis : Models and Algorithms}, editor = {Breuß, Michael and Bruckstein, Alfred and Maragos, Petros}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-642-34140-3}, pages = {77 -- 92}, language = {en} }