@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} } @incollection{KleefeldBreussWelketal., author = {Kleefeld, Andreas and Breuß, Michael and Welk, Martin and Burgeth, Bernhard}, title = {Adaptive Filters for Color Images: Median Filtering and Its Extensions}, series = {Computational Color Imaging}, booktitle = {Computational Color Imaging}, editor = {Tr{\´e}meau, Alain and Schettini, Raimondo and Tominaga, Shoji}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-319-15978-2}, doi = {10.1007/978-3-319-15979-9_15}, pages = {149 -- 158}, abstract = {In this paper we are concerned with robust structure-preserving denoising filters for color images. We build on a recently proposed transformation from the RGB color space to the space of symmetric 2×2 matrices that has already been used to transfer morphological dilation and erosion concepts from matrix-valued data to color images. We investigate the applicability of this framework to the construction of color-valued median filters. Additionally, we introduce spatial adaptivity into our approach by morphological amoebas that offer excellent capabilities for structure-preserving filtering. Furthermore, we define color-valued amoeba M-smoothers as a generalization of the median-based concepts. Our experiments confirm that all these methods work well with color images. They demonstrate the potential of our approach to define color processing tools based on matrix field techniques.}, language = {en} } @inproceedings{SharifiBoroujerdiBreussBurgethetal., author = {Sharifi Boroujerdi, Ali and Breuß, Michael and Burgeth, Bernhard and Kleefeld, Andreas}, title = {PDE-Based Color Morphology Using Matrix Fields}, series = {Scale Space and Variational Methods in Computer Vision, 5th International Conference, SSVM 2015, L{\`e}ge-Cap Ferret, France, May 31 - June 4, 2015, Proceedings}, booktitle = {Scale Space and Variational Methods in Computer Vision, 5th International Conference, SSVM 2015, L{\`e}ge-Cap Ferret, France, May 31 - June 4, 2015, Proceedings}, editor = {Aujol, Jean-Fran{\c{c}}ois and Nikolova, Mila and Papadakis, Nicolas}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-319-18460-9}, doi = {10.1007/978-3-319-18461-6_37}, pages = {461 -- 473}, abstract = {In this work, we propose a novel way for performing operations of mathematical morphology on color images. To this end, we convert pixelwise the rgb-values into symmetric 2x2 matrices. The new color space can be interpreted geometrically as a biconal color space structure. Motivated by the formulation of the fundamental morphological operations dilation and erosion in terms of partial differential equations (PDEs), we show how to define finite difference schemes making use of the matrix field formulation. The computation of a pseudo supremum and a pseudo infimum of three color matrices is a crucial step for setting up advanced PDE-based methods. We show that this can be achieved for our goal by an algebraic technique. We investigate our approach by dedicated experiments and confirm useful properties of the new PDE-based color morphology operations.}, language = {en} } @incollection{WelkKleefeldBreuss, author = {Welk, Martin and Kleefeld, Andreas and Breuß, Michael}, title = {Non-adaptive and Amoeba Quantile Filters for Colour Images}, series = {Mathematical Morphology and Its Applications to Signal and Image Processing}, booktitle = {Mathematical Morphology and Its Applications to Signal and Image Processing}, editor = {Benediktsson, J{\´o}n Atli and Chanussot, Jocelyn and Najman, Laurent and Talbot, Hugues}, publisher = {Springer International Publishing}, address = {Berlin}, isbn = {978-3-319-18719-8}, doi = {10.1007/978-3-319-18720-4_34}, pages = {398 -- 409}, abstract = {Quantile filters, or rank-order filters, are local image filters which assign quantiles of intensities of the input image within neighbourhoods as output image values. Combining a multivariate quantile definition developed in matrix-valued morphology with a recently introduced mapping between the RGB colour space and the space of symmetric 2×2 matrices, we state a class of colour image quantile filters, along with a class of morphological gradient filters derived from these. Using amoeba structuring elements, we devise image-adaptive versions of both filter classes. Experiments demonstrate the favourable properties of the filters.}, language = {en} } @inproceedings{BreussQueauBaehretal., author = {Breuß, Michael and Qu{\`e}au, Yvain and B{\"a}hr, Martin and Durou, Jean-Denis}, title = {Highly Efficient Surface Normal Integration}, series = {Proceedings of the Conference Algoritmy 2016, 20th Conference on Scientific Computing, Vysok{\´e} Tatry - Podbansk{\´e}, Slovakia, March 14 - 18}, booktitle = {Proceedings of the Conference Algoritmy 2016, 20th Conference on Scientific Computing, Vysok{\´e} Tatry - Podbansk{\´e}, Slovakia, March 14 - 18}, publisher = {Publishing House of Slovak University of Technology in Bratislava}, address = {Bratislava}, isbn = {978-80-227-4544-4}, pages = {204 -- 213}, language = {en} } @inproceedings{HoeltgenBreuss, author = {Hoeltgen, Laurent and Breuß, Michael}, title = {Efficient Co-Domain Quantisation for PDE-Based Image Compression}, series = {Proceedings of the Conference Algoritmy 2016, 20th Conference on Scientific Computing, Vysok{\´e} Tatry - Podbansk{\´e}, Slovakia, March 14 - 18}, booktitle = {Proceedings of the Conference Algoritmy 2016, 20th Conference on Scientific Computing, Vysok{\´e} Tatry - Podbansk{\´e}, Slovakia, March 14 - 18}, editor = {Handlovičov{\´a}, A. and Ševčovič, D.}, publisher = {Publishing House of Slovak University of Technology in Bratislava}, address = {Bratislava}, isbn = {978-80-227-4544-4}, pages = {194 -- 203}, language = {en} } @inproceedings{BaehrBreuss, author = {B{\"a}hr, Martin and Breuß, Michael}, title = {An Improved Eikonal Method for Surface Normal Integration}, series = {Pattern Recognition, 37th German Conference, GCPR 2015, Aachen, Germany, October 7-10, 2015, Proceedings}, booktitle = {Pattern Recognition, 37th German Conference, GCPR 2015, Aachen, Germany, October 7-10, 2015, Proceedings}, editor = {Gall, Juergen and Gehler, Peter and Leibe, Bastian}, publisher = {Springer International Publishing}, address = {Berlin}, isbn = {978-3-319-24946-9}, doi = {10.1007/978-3-319-24947-6_22}, pages = {274 -- 284}, language = {en} } @inproceedings{ChulJuBruhnBreuss, author = {Chul Ju, Yong and Bruhn, Andr{\´e}s and Breuß, Michael}, title = {Variational Perspective Shape from Shading}, series = {Scale Space and Variational Methods in Computer Vision, 5th International Conference, SSVM 2015, L{\`e}ge-Cap Ferret, France, May 31 - June 4, 2015, Proceedings}, booktitle = {Scale Space and Variational Methods in Computer Vision, 5th International Conference, SSVM 2015, L{\`e}ge-Cap Ferret, France, May 31 - June 4, 2015, Proceedings}, editor = {Aujol, Jean-Fran{\c{c}}ois and Nikolova, Mila and Papadakis, Nicolas}, publisher = {Springer International Publishing}, address = {Berlin}, isbn = {978-3-319-18460-9}, doi = {10.1007/978-3-319-18461-6_43}, pages = {538 -- 550}, language = {en} } @inproceedings{KhanianSharifiBoroujerdiBreuss, author = {Khanian, Maryam and Sharifi Boroujerdi, Ali and Breuß, Michael}, title = {Perspective photometric stereo beyond Lambert}, series = {Twelfth International Conference on Quality Control by Artificial Vision, 3 - 5 June 2015, Le Creusot, France}, booktitle = {Twelfth International Conference on Quality Control by Artificial Vision, 3 - 5 June 2015, Le Creusot, France}, editor = {Meriaudeau, Fabrice and Aubreton, Olivier}, publisher = {SPIE}, address = {Bellingham, Wash.}, isbn = {978-80-227-4544-4}, doi = {10.1117/12.2182839}, language = {en} } @inproceedings{KhanianBreussDavari, author = {Khanian, Maryam and Breuß, Michael and Davari, Ali}, title = {An improved stopping criterion for anisotropic diffusion}, series = {Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014), Rhodes, Greece, 22-28 September 2014}, booktitle = {Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014), Rhodes, Greece, 22-28 September 2014}, editor = {Simos, Theodore E. and Tsitouras, Charalambos}, publisher = {AIP Publishing}, address = {Melville, New York}, isbn = {978-0-7354-1287-3}, doi = {10.1063/1.4919928}, language = {en} } @incollection{JuMaurerBreussetal., author = {Ju, Yong Chul and Maurer, Daniel and Breuß, Michael and Bruhn, Andr{\´e}s}, title = {Direct variational perspective shape from shading with Cartesian depth parametrisation}, series = {Perspectives in Shape Analysis, Mathematics and Visualization}, booktitle = {Perspectives in Shape Analysis, Mathematics and Visualization}, editor = {Breuß, Michael and Bruckstein, Alfred and Maragos, Petros and Wuhrer, Stefanie}, publisher = {Springer International Publishing}, address = {Cham}, isbn = {978-3-319-24724-3}, doi = {10.1007/978-3-319-24726-7}, pages = {43 -- 72}, language = {en} }