Homepage of Frank Lenzen


Publications

Book

  1. Otmar Scherzer, Markus Grasmair, Harald Grossauer, Markus Haltmeier and Frank Lenzen, Variational Methods in Imaging, Springer, 167, Applied Mathematical Sciences, 2009 [Link] [Bibtex]

Book Chapters

  1. Frank Lenzen, Kwang In Kim, Henrik Schäfer, Rahul Nair, Stephan Meister, Florian Becker, Christoph S. Garbe, and Christian Theobalt, Denoising Strategies for Time-of-Flight Data, In M. Grzegorzek, C. Theobalt, R. Koch, A. Kolb (eds.), Time-of-Flight and Depth Imaging: Sensors, Algorithms, and Applications, LNCS 8200, pp. 25-45, Springer, 2013  [Springer] [technical report]
  2. Damien Lefloch, Rahul Nair, Frank Lenzen, Henrik Schäfer, Lee Streeter, Michael J. Cree, Reinhard Koch and Andreas Kolb, Technical Foundation and Calibration Methods for Time-of-Flight Cameras, In M. Grzegorzek, C. Theobalt, R. Koch, A. Kolb (eds.), Time-of-Flight and Depth Imaging: Sensors, Algorithms, and Applications, LNCS 8200, pp. 3-24 Springer, 2013  [Springer] [technical report]
  3. Rahul Nair, Kai Ruhl, Frank Lenzen, Stephan Meister, Henrik Schäfer, Christoph S. Garbe, Martin Eisemann, Marcus Magnor and Daniel Kondermann, A Survey on Time-of-Flight Stereo Fusion, In M. Grzegorzek, C. Theobalt, R. Koch, A. Kolb (eds.), Time-of-Flight and Depth Imaging: Sensors, Algorithms, and Applications, LNCS 8200, pp. 105-127, Springer, 2013  [Springer]   [technical report]

Journal Papers

  1. Stefan Held, Andreas Bossert, Frank Lenzen, Ulrich Sutter, KI in sicherheitskritischen Automobilanwendungen, ATZ, Volume 126, pages 40-43, 2024, [Springer online]
  2. Johannes Berger, Frank Lenzen, Florian Becker, Andreas Neufeld and Christoph Schnörr, Second-Order Recursive Filtering on the Rigid-Motion Lie Group SE Based on Nonlinear Observations, Journal of Mathematical Imaging and Vision, Volume 58, Issue 1, pp. 102-129, 2017  [pdf]
  3. Yair Censor, Aviv Gibali, Frank Lenzen and Christoph Schnörr, The implicit convex feasibility problem and its application to adaptive image denoising, Journal of Computational Mathematics, Vol. 34, pp. 610-625, 2016  [pdf]
  4. Henrik Schäfer, Frank Lenzen, Christoph S. Garbe, Model based scattering correction in time-of-flight cameras, Optics Express, vol. 22 (24), pp. 29835-29846, 2014   [pdf]
  5. Frank Lenzen, Jan Lellmann, Florian Becker and Christoph Schnörr, Solving QVIs for Image Restoration with Adaptive Constraint Sets, SIAM Journal on Imaging Sciences (SIIMS), vol. 7(4), pp. 2139-2174, 2014   [pdf]  [arXiv]
  6. Florian Becker, Frank Lenzen, Jörg H. Kappes and Christoph Schnörr, Variational Recursive Joint Estimation of Dense Scene Structure and Camera Motion from Monocular High Speed Traffic Sequences, International Journal of Computer Vision, 105 (3), pp. 269-297, 2013 [pdf]
  7. Jan Lellmann, Frank Lenzen and Christoph Schnörr, Optimality Bounds for a Variational Relaxation of the Image Partitioning Problem, JMIV, vol. 47 (3), pp 239-257, 2013 [arXiv]  [Springer online]
  8. Frank Lenzen, Florian Becker, Jan Lellmann, Stefania Petra and Christoph Schnörr, A Class of Quasi-Variational Inequalities for Adaptive Image Denoising and Decomposition, Computational Optimization and Applications, vol. 54 (2), pp. 371-398, Springer, 2013. [Springer online]  [pdf]
  9. Frank Lenzen and Otmar Scherzer, Partial Differential Equations for Zooming, Deinterlacing and Dejittering, IJCV, vol. 92(2), pp. 162-176, 2011   [Springer online]  [pdf]
  10. Markus Grasmair and Frank Lenzen, Anisotropic Total Variation Filtering, Applied Mathematics and Optimization, Applied Mathematics & Optimization, 62(3), pp. 323-339, Springer, 2010  [Springer online]  [pdf]
  11. Peter Elbau, Markus Grasmair, Frank Lenzen and Otmar Scherzer, Evolution by Non-Convex Functionals, Numerical Functional Analysis and Optimization, 31(4), pp. 489-517, 2010  [Link]  [techreport]
  12. Frank Lenzen, Otmar Scherzer and Sabine Schindler, Robust Reconstruction from Chopped and Nodded Images, Astronomy & Astrophysics, vol. 443, pp. 1087 -1093, 2005  [arXiv]
  13. Frank Lenzen, Sabine Schindler and Otmar Scherzer, Automatic detection of arclets formed by gravitational lensing, Astronomy & Astrophysics, vol. 416, pp. 391-401, 2004 [arXiv]
    The software is publicly available. In case that your are interested, please write an email to Frank Lenzen.

Peer Reviewed Conference Papers

  1. Andreas Neufeld, Johannes Berger, Florian Becker, Frank Lenzen and Christoph Schnörr. Estimating Vehicle Ego-Motion and Piecewise Planar Scene Structure from Optical Flow in a Continuous Framework,
    proceedings GCPR 2015, LNCS vol 9358, pp 41-52, Springer, 2015 [pdf]
    The final publication will be available at Springer Link.
  2. Frank Lenzen and Johannes Berger, Solution-Driven Adaptive Total-Variation Regularization, Scale Space and Variational Methods in Computer Vision 2015, LNCS, vol 9087, pp. 203-215, Springer, 2015   [pdf] [Springer Link].
  3. Johannes Berger, Andreas Neufeld, Florian Becker, Frank Lenzen and Christoph Schnörr, Second Order Minimum Energy Filtering on SE 3 with Nonlinear Measurement Equations, Scale Space and Variational Methods in Computer Vision 2015, LNCS, vol 9087, pp. 397-409, Springer, 2015   [Springer Link].
  4. Henrik Schäfer, Frank Lenzen and Christoph S. Garbe, Depth and Intensity based Edge Detection in Time-of-Flight Images, Proceedings of 3D Vision, pp. 111-118, 2013 [pdf]  [Software]
  5. Frank Lenzen, Florian Becker and Jan Lellmann, Adaptive Second-Order Total Variation: An Approach Aware of Slope Discontinuities, proceedings SSVM 2013, LNCS, vol. 7893 pp. 61-73, Springer, 2013   [pdf]
  6. Stefania Petra, Christoph Schnörr, Florian Becker and Frank Lenzen, B-SMART: Bregman-Based First-Order Algorithms for Non-Negative Compressed Sensing Problems, proceedings SSVM 2013, LNCS, vol. 7893, pp. 110-124 , Springer, 2013  [pdf]
  7. Rahul Nair, Frank Lenzen, Henrik Schäfer, Stephan Meister, Christoph S. Garbe and Daniel Kondermann, High Accuracy TOF and Stereo Sensor Fusion at Interactive Rates, 2nd Workshop on Consumer Depth Cameras for Computer Vision, ECCV, Springer, 2012  [pdf]
  8. Florian Becker, Frank Lenzen, Jörg Hendrik Kappes and Christoph Schnörr, Variational Recursive Joint Estimation of Dense Scene Structure and Camera Motion from Monocular High Speed Traffic Sequences, Proceedings of the International Conference on Computer Vision (ICCV) 2011, pp. 1692 -1699, IEEE, 2011. [pdf]
  9. Frank Lenzen, Henrik Schäfer and Christoph Garbe, Denoising Time-Of-Flight Data with Adaptive Total Variation, Advances in Visual Computing, LNCS vol. 6938, pp. 337-346, Springer 2011  [pdf]
  10. Jan Lellmann, Frank Lenzen and Christoph Schnörr, Optimality Bounds for a Variational Relaxation of the Image Partitioning Problem, EMMCVPR, LNCS vol. 6819, pp. 132-146, Springer, 2011  [pdf]
  11. Frank Lenzen, Florian Becker, Jan Lellmann, Stefania Petra and Christoph Schnörr, Variational Image Denoising with Adaptive Constraint Sets, Proceedings of the 3nd conference on Scale Space and Variational Methods in Computer Vision 2011 (SSVM), LNCS vol. 6667, Springer, 2012. [Springer online]   [pdf]
  12. Frank Lenzen and Otmar Scherzer, A Geometric PDE for Interpolation of M-channel Data, In: X.C. Tai, K. Morken, M. Lysaker, K.A. Lie (eds.), Scale Space and Variational Methods in Computer Vision, Proceedings of the 2nd conference SSVM, LNCS vol. 5567, pp. 413-425, Springer, 2009. [pdf]
  13. Sylvia Leimgruber, Frank Lenzen and Otmar Scherzer, Automatic detection and counting of small airborne dust particles, Proceedings OEAGM/AAPR, pp. 29-37, 2006 [pdf]
  14. Markus Grasmair, Frank Lenzen, Andreas Obereder, Otmar Scherzer and Matthias Fuchs, A Non-Convex PDE Scale Space, Scale-Space 2005, In: R. Kimmel and N. Sochen and J. Weickert (eds.), LNCS vol. 3459, pp. 303-315, 2005  [pdf]
  15. Frank Lenzen and Otmar Scherzer, Tikhonov type regularization methods: history and recent progress, Proceeding Eccomas 2004, 2004  [pdf]

Other Publications

  1. Ulrich Sutter, Andreas Bossert, Stefan Held, Frank Lenzen, Philipp Leopold, Künstliche Intelligenz in sicherheitskritischen Automotive-Anwendungen, Whitepaper, 2024 [Homepage]
  2. Frank Lenzen, Adaptive Variational Regularization Techniques in Image Processing and Computer Vision, Habilitation thesis, 2015 [pdf]
  3. Frank Lenzen, Displacement Regularization with Application to Image Zooming, Proc. Appl. Math. Mech. 10, 637 - 638, 2010  [Link]
  4. Frank Lenzen, Statistical Regularization and Denoising, Ph.D. thesis, Leopold-Franzens-Universität Innsbruck, 2006  [pdf] 
  5. Frank Lenzen, 3D-Rekonstruktion von DNA-Strukturen, diploma thesis, Rheinische Friedrich-Wilhelms-Universität Bonn, 2001  [pdf]





last update: 24.5.2017