Dr. Florian Becker

HCI->Dr. Florian Becker

Dr. Florian Becker


Dr. Florian Becker

Dr. Florian Becker is postdoc at the Heidelberg Collaboratory for Image Processing, located at the University of Heidelberg.

Research Interests and Projects

My search interest are mathematical optimisation and variational approaches for image processing and computer vision applications. Details, including publications and supplemental materials, on some on my projects are available below.

Variational Recursive Joint Estimation of Dense Scene Structure and Camera Motion from Monocular Image Sequences

dense depth map (color-encoded) reconstructed from a monocular image sequenceframe from a real monocular image sequence We investigate an approach to jointly estimating camera motion and dense scene structure in terms of depth maps from monocular image sequences in driver-assistance scenarios. We achieve a pronounced spatio-temporal filtering effect and robustness by formulating the approach in a recursive framework. Details...


Variational Approaches for Image Denoising

noisy and denoised images For denoising images and signals, a prominent method is the total variation regularisation based approach proposed by Rudin, Osher and Fatemi. In literature, several variants exists, in which the regularisation is locally adapted to the image content in order to cope with locally varying noise or to improved the reconstruction of edges and corners. We generalise the approach by Rudin, Osher and Fatemi in a way that we allow the adaptivity of the regularisation to explicitly depend on the solution of the optimisation problem itself. Details...


Variational Approach to Adaptive Correlation in Particle Image Velocimetry

estimated vector field (arrows) and adapted windows (ellipses)schematic particle image velocimetry setup A variational approach is presented to the estimation of turbulent fluid flow from particle image sequences in experimental fluid mechanics. The approach comprises two coupled optimisations for adapting size and shape of a Gaussian correlation window at each location and for estimating the flow, respectively. The method copes with a wide range of particle densities and noise levels without any data-specific parameter tuning. Based on a careful implementation of a multiscale nonlinear optimisation technique we demonstrate robustness of the solution over typical experimental scenarios and highest estimation accuracy for an international benchmark dataset (PIV challenge). Details...


Decomposition of Convex Optimisation Problems

decomposition of variable grid of a convex optimisation problem Variational approaches are nowadays routinely used in many image processing applications. However, with increasing sensor resolution, the resulting problem representations can not be handled within the working memory of standard PCs any more. This necessitates to investigate problem decomposition that can process in parallel large-scale problems with of-the-shelf hardware. In our work we consider the fairly general class of convex quadratic optimisation problems, which includes for example motion estimation problems with higher order regularisation. Details...


Contact

E-Mail: becker (AT) math.uni-heidelberg.de
Phone: +49 6221 54 5288
Fax: +49 6221 54 5276

Visitor address

Heidelberg Collaboratory for Image Processing (HCI), Universität Heidelberg
Second floor, room H2.20
Speyerer Str. 6, 69115 Heidelberg, Germany (Directions)

Postal address

Dr. Florian Becker
HCI, Universität Heidelberg
Speyerer Str. 6
69115 Heidelberg
Germany

Curriculum Vitae

since May 2009 Postdoc at the Heidelberg Collaboratory on Image Processing (University of Heidelberg)
January 2005
to April 2009
doctoral studies on "Variational Correlation and Decomposition Methods for Particle Image Velocimetry" in the IPA group (University of Heidelberg), the former CVGPR group (University of Mannheim), supervised by Prof. Christoph Schnörr
October 1999
to December 2004
studies of computer engineering ("Technische Informatik") at the University of Mannheim, graduated as "Dipl. Inf."

Publications

  • Second-Order Recursive Filtering on the Rigid-Motion Lie Group SE(3) Based on Nonlinear Observations
    Johannes Berger, Frank Lenzen, Florian Becker, Andreas Neufeld and Christoph Schnörr
    [BIB (bibtex)] [WWW]
  • Estimating Vehicle Ego-Motion and Piecewise Planar Scene Structure from Optical Flow in a Continuous Framework
    Andreas Neufeld, Johannes Berger, Florian Becker, Frank Lenzen and Christoph Schnörr
    In 37th German Conference on Pattern Recognition, 2015. in press.
    [PDF (preprint)] [BIB (bibtex)]
  • Second Order Minimum Energy Filtering on SE(3) with Nonlinear Measurement Equations
    Johannes Berger, Andreas Neufeld, Florian Becker, Frank Lenzen and Christoph Schnörr
    In Scale Space and Variational Methods in Computer Vision (SSVM 2015), volume 9087 of Lecture Notes in Computer Science, pages 397-409, 2015. Springer.
    [PDF (preprint)] [BIB (bibtex)]
  • Optical Flow
    Florian Becker, Stefania Petra and Christoph Schnörr
    In Otmar Scherzer, Handbook of Mathematical Methods in Imaging, 2nd edition, pages 1945-2004, 2015. Springer.
    [WWW] [BIB (bibtex)]
  • Solving QVIs for Image Restoration with Adaptive Constraint Sets
    Frank Lenzen, Jan Lellmann, Florian Becker and Christoph Schnörr
    In SIAM Journal on Imaging Sciences (SIIMS), , 2014. accepted for publication.
    [BIB (bibtex)]
  • Variational Recursive Joint Estimation of Dense Scene Structure and Camera Motion from Monocular High Speed Traffic Sequences
    Florian Becker, Frank Lenzen, Jörg H. Kappes and Christoph Schnörr
    In International Journal of Computer Vision, 105:269-297, 2013. Springer.
    [PDF (preprint)] [PDF] [supplemental material] [overview] [BIB (bibtex)]
  • Denoising Strategies for Time-of-Flight Data
    Frank Lenzen, Kwang In Kim, Rahul Nair, Stephan Meister, Henrik Schäfer, Florian Becker, Christoph Garbe and Christian Theobalt
    In Marcin Grzegorzek, Christian Theobalt, Reinhard Koch and Andreas Kolb, Time-of-Flight Imaging: Algorithms, Sensors and Applications, volume 8200 of Lecture Notes in Computer Science, pages 25-45, 2013. Springer.
    [PDF (preprint)] [PDF] [BIB (bibtex)]
  • A class of quasi-variational inequalities for adaptive image denoising and decomposition
    Frank Lenzen, Florian Becker, Jan Lellmann, Stefania Petra and Christoph Schnörr
    In Computational Optimization and Applications, 54(2):371-398, 2013. Kluwer Academic Publishers.
    [PDF (preprint)] [PDF] [BIB (bibtex)]
  • Adaptive Second-Order Total Variation: An Approach Aware of Slope Discontinuities
    Frank Lenzen, Florian Becker and Jan Lellmann
    In Arjan Kuijper, Kristian Bredies, Thomas Pock and Horst Bischof, Proceedings of the 4th International Conference on Scale Space and Variational Methods in Computer Vision (SSVM) 2013, volume 7893 of Lecture Notes in Computer Science, pages 61-73, 2013. Springer.
    [PDF (preprint)] [PDF] [BIB (bibtex)]
  • B-SMART: Bregman-Based First-Order Algorithms for Non-negative Compressed Sensing Problems
    Stefania Petra, Christoph Schnörr, Florian Becker and Frank Lenzen
    In Arjan Kuijper, Kristian Bredies, Thomas Pock and Horst Bischof, Proceedings of the 4th International Conference on Scale Space and Variational Methods in Computer Vision (SSVM) 2013, volume 7893 of Lecture Notes in Computer Science, pages 110-124, 2013. Springer.
    [PDF (preprint)] [PDF] [BIB (bibtex)]
  • Variational Adaptive Correlation Method for Flow Estimation
    Florian Becker, Bernhard Wieneke, Stefania Petra, Andreas Schröder and Christoph Schnörr
    In IEEE Transactions on Image Processing, 21(6):3053-3065, 2012.
    [PDF (preprint)] [PDF] [BIB (bibtex)]
  • Variational Recursive Joint Estimation of Dense Scene Structure and Camera Motion from Monocular High Speed Traffic Sequences
    Florian Becker, Frank Lenzen, Jörg H. Kappes and Christoph Schnörr
    In Proceedings of the 2011 International Conference on Computer Vision, pages 1692-1699, 2011. IEEE Computer Society.
    [PDF (preprint)] [PDF] [supplemental material] [overview] [BIB (bibtex)]
  • Variational Image Denoising with Adaptive Constraint Sets
    Frank Lenzen, Florian Becker, Jan Lellmann, Stefania Petra and Christoph Schnörr
    In Alfred M. Bruckstein, Bart M. ter Haar Romeny, Alexander M. Bronstein and Michael M. Bronstein, Proceedings of the 3rd International Conference on Scale Space and Variational Methods in Computer Vision 2011, volume 6667 of Lecture Notes in Computer Science, pages 206-217, 2011. Springer.
    [PDF (preprint)] [PDF] [BIB (bibtex)]
  • Variational Correlation and Decomposition Methods for Particle Image Velocimetry
    Florian Becker
    Doctoral thesis, Faculty of Mathematics and Computer Sciences, Heidelberg University, Heidelberg, Germany, 2009.
    [PDF] [BIB (bibtex)]
  • Convex Multi-class Image Labeling by Simplex-Constrained Total Variation
    Jan Lellmann, Jörg H. Kappes, Jing Yuan, Florian Becker and Christoph Schnörr
    In Proceedings of the 2nd International Conference on Scale Space and Variational Methods in Computer Vision, pages 150-162, 2009. Springer.
    [PDF (preprint)] [PDF] [BIB (bibtex)]
  • Convex Optimization for Multi-class Image Labeling with a Novel Family of Total Variation Based Regularizers
    Jan Lellmann, Florian Becker and Christoph Schnörr
    In IEEE 12th International Conference on Computer Vision, ICCV 2009, Kyoto, Japan, pages 646-653, 2009. IEEE.
    [PDF (preprint)] [PDF] [BIB (bibtex)]
  • A Variational Approach to Adaptive Correlation for Motion Estimation in Particle Image Velocimetry
    Florian Becker, Bernhard Wieneke, Jing Yuan and Christoph Schnörr
    In Proceedings of the 30th DAGM symposium on Pattern Recognition, volume 5096 of Lecture Notes in Computer Science, pages 335-344, 2008. Springer-Verlag.
    [PDF (preprint)] [PDF] [overview] [BIB (bibtex)]
  • Variational Correlation Approach to Flow Measurement with Window Adaption
    Florian Becker, Bernhard Wieneke, Jing Yuan and Christoph Schnörr
    In 14th International Symposium on Applications of Laser Techniques to Fluid Mechanics, 2008.
    [PDF (preprint)] [BIB (bibtex)]
  • Decomposition of Quadratic Variational Problems
    Florian Becker and Christoph Schnörr
    In Gerhard Rigoll, Proceedings of the 30th DAGM symposium on Pattern Recognition, volume 5096 of Lecture Notes in Computer Science, pages 325-334, 2008. Springer Berlin Heidelberg.
    [PDF (preprint)] [PDF] [PDF (poster)] [overview] [BIB (bibtex)]
  • Median and Related Local Filters for Tensor-Valued Images
    Martin Welk, Joachim Weickert, Florian Becker, Christoph Schnörr, Christian Feddern and Bernhard Burgeth
    In Signal Processing, 87(2):291-308, 2007. Elsevier North-Holland, Inc..
    [PDF (preprint)] [PDF] [BIB (bibtex)]
  • Matrix-valued Filters as Convex Programs
    Martin Welk, Florian Becker, Christoph Schnörr and Joachim Weickert
    In Ron Kimmel, Nir A. Sochen and Joachim Weickert, Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision, volume 3459 of Lecture Notes in Computer Science, pages 204-216, 2005. Springer.
    [PDF (preprint)] [PDF] [BIB (bibtex)]
  • A Study of Non-smooth Convex Flow Decomposition
    Jing Yuan, Christoph Schnörr, Gabriele Steidl and Florian Becker
    In Nikos Paragios, Olivier D. Faugeras, Tony Chan and Christoph Schnörr, Proceedings of the 3rd International Conference on Variational, Geometric, and Level Set Methods in Computer Vision, volume 3752 of Lecture Notes in Computer Science, pages 1-12, 2005. Springer.
    [PDF (preprint)] [PDF] [BIB (bibtex)]
  • Matrix-valued Filters as Convex Programs
    Florian Becker
    Master's thesis, CVGPR group, University of Mannheim, 2004.
    [PDF] [BIB (bibtex)]

Also see my google scholar profile.

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