Publications

Books | Journals | Book chapters | Conference proceedings | Theses | Others | Lecture notes

Books

• Christian Clason:
  Einführung in die Funktionalanalysis,
  Mathematik Kompakt, Birkhäuser Basel, 2nd edition, 2024.
• Christian Clason, Tuomo Valkonen:
  Introduction to Nonsmooth Analysis and Optimization,
  submitted 2024; arXiv:2020.00216.
• Christian Clason:
  Introduction to Functional Analysis,
  Compact Textbooks in Mathematics, Birkhäuser Basel, 2020.
• Christian Clason:
  Einführung in die Funktionalanalysis,
  Mathematik Kompakt, Birkhäuser Basel, 2019.

Journals

• Christian Clason, Vu Huu Nhu, Arnd Rösch:
  Numerical analysis of a nonsmooth quasilinear elliptic control problem: II. Finite element discretization and error estimates,
  submitted 2023; arXiv:2303.03060.
• Christian Clason, Vu Huu Nhu, Arnd Rösch:
  Numerical analysis of a nonsmooth quasilinear elliptic control problem: I. Eplicit second-order optimality conditions,
  ESAIM: Mathematical Modelling and Numerical Analysis 58 (2024), 993–1029; arXiv:2203.16865.
• Christian Clason, Carla Tameling, Benedikt Wirth:
  Convex relaxation of discrete vector-valued optimization problems,
  SIAM Review 63 (2021), 783–821; arXiv:2108.10077.
  [ Matlab code ]
• Christian Clason, Vu Huu Nhu, Arnd Rösch:
  No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation,
  ESAIM: Control, Optimisation and Calculus of Variations 27 (2021), 62; arXiv:2003.11478.
• Christian Clason, Karl Kunisch, Philip Trautmann:
  Optimal control of the principal coefficient in a scalar wave equation,
  Applied Mathematics & Optimization 84 (2021), 2889–2921; arXiv:1912.08672.
  [ Python code ]
• Christian Clason, Dirk Lorenz, Hinrich Mahler, Benedikt Wirth:
  Entropic regularization of continuous optimal transport problems,
  Journal of Mathematical Analysis and Applications 494 (2021), 124432; arXiv:1906.01333.
• Christian Clason, Vuu Huu Nhu:
  Bouligand–Levenberg–Marquardt iteration for a non-smooth ill-posed problem,
  Electronic Transactions on Numerical Analysis 51 (2019), 274–314; arXiv:1902.10596.
  [ Python code | Julia code ]
• Christian Clason, Stanislav Mazurenko, Tuomo Valkonen:
  Primal–dual proximal splitting and generalized conjugation in non-smooth non-convex optimization,
  Applied Mathematics & Optimization 84 (2021), 1239–1284; arXiv:1901.02746.
  [ Julia code ]
• Christian Clason, Vu Huu Nhu, Arnd Rösch:
  Optimal control of a non-smooth quasilinear elliptic equation,
  Mathematical Control & Related Fields 11 (2021), 521–554; arXiv:1810.08007.
  [ Python code ]
• Christian Clason, Yu Deng, Patrick Mehlitz, Uwe Prüfert:
  Optimal control problems with control complementarity constraints,
  Optimization Methods and Software 35 (2020), 142–170; arXiv:1809.09920.
• Christian Clason, Tapio Helin, Remo Kretschmann, Petteri Piiroinen:
  Generalized modes in Bayesian inverse problems,
  SIAM/ASA Journal on Uncertainty Quantification 7 (2019), 652–684; arXiv:1806.00519.
• Christian Clason, Andrej Klassen:
  Quasi-solution of linear inverse problems in non-reflexive Banach spaces,
  Journal of Inverse and Ill-posed Problems 26 (2018), 689–702; arXiv:1803.10168.
• Christian Clason, Thi Bich Tram Do, Frank Pörner:
  Error estimates for the approximation of multibang control problems,
  Computational Optimization and Applications 71 (2018), 857–878; arXiv:1803.04298.
  [ Python code ]
• Christian Clason, Vuu Huu Nhu:
  Bouligand–Landweber iteration for a non-smooth ill-posed problem,
  Numerische Mathematik 142 (2019), 789–832; arXiv:1803.02290.
  [ Python code | Julia code ]
• Christian Clason, Stanislav Mazurenko, Tuomo Valkonen:
  Acceleration and global convergence of a first-order primal–dual method for nonconvex problems,
  SIAM Journal on Optimization 29 (2019), 933–-963; arXiv:1802.03347.
• Christian Clason, Akhtar A. Khan, Miguel Sama, Christiane Tammer:
  Contingent derivatives and regularization for noncoercive inverse problems,
  Optimization 68 (2019), 1337–1364; arXiv:1802.05062.
• Christian Clason, Florian Kruse, Karl Kunisch:
  Total variation regularization of multi-material topology optimization,
  ESAIM: Mathematical Modelling and Numerical Analysis 52 (2018), 275–303; arXiv:1708.06165.
• Constantin Christof, Christian Clason, Christian Meyer, Stefan Walter:
  Optimal control of a non-smooth semilinear elliptic equation,
  Mathematical Control & Related Fields 8 (2018), 247–276; arXiv:1705.00939.
• Christian Clason, Carla Tameling, Benedikt Wirth:
  Vector-valued multibang control of differential equations,
  SIAM Journal on Control and Optimization 56 (2018), 2295–2326; arXiv:1611.07853.
  [ Matlab code ]
• Richard C. Barnard, Christian Clason:
  L¹ penalization of volumetric dose objectives in optimal control of PDEs,
  Computational Optimization and Applications 67 (2017), 401–419; arXiv:1607.01655.
  [ Python code ]
• Christian Clason, Tuomo Valkonen:
  Primal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization,
  SIAM Journal on Optimization 27 (2017), 1314–1339; arXiv:1606.06219.
  [ Matlab code ]
• Christian Clason, Karl Kunisch, Armin Rund:
  Nonconvex penalization of switching control of partial differential equations,
  Systems & Control Letters 106c (2017), 1–8; arXiv:1605.09750.
  [ Matlab code ]
• Christian Clason, Tuomo Valkonen:
  Stability of saddle points via explicit coderivatives of pointwise subdifferentials,
  Set-Valued and Variational Analysis 25 (2017), 69–112; arXiv:1509.06582.
• Christian Clason, Barbara Kaltenbacher, Daniel Wachsmuth:
  Functional error estimators for the adaptive discretization of inverse problems,
  Inverse Problems 32 (2016), 104004; arXiv:1507.08077.
• Christian Clason, Karl Kunisch:
  A convex analysis approach to multi-material topology optimization,
  ESAIM: Mathematical Modelling and Numerical Analysis 50 (2016), 1917–1936; arXiv:1702.07525.
  [ Matlab code ]
• Christian Clason, Armin Rund, Karl Kunisch, Richard C. Barnard:
  A convex penalty for switching control of partial differential equations,
  Systems & Control Letters 89 (2016), 66–73; arXiv:1702.07505.
  [ Matlab code ]
• Christian Clason, Anton Schiela:
  Optimal control of elliptic equations with positive measures,
  ESAIM: Control, Optimisation and Calculus of Variations 23 (2017), 217–240; arXiv:1702.07528.
  [ Matlab code ]
• Christoph Aigner, Christian Clason, Armin Rund, Rudolf Stollberger:
  Efficient high-resolution RF pulse design applied to simultaneous multi-slice excitation,
  Journal of Magnetic Resonance 263 (2016), 33–44; arXiv:1702.07503.
  [ Matlab code ]
• Christian Clason, Kazufumi Ito, Karl Kunisch:
  A convex analysis approach to optimal controls with switching structure for partial differential equations,
  ESAIM: Control, Optimisation and Calculus of Variations 22 (2016), 581–609; arXiv:1702.07540.
  [ Matlab code ]
• Christian Clason, Karl Kunisch:
  Multi-bang control of elliptic systems,
  Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire 31 (2014), 1109–1130.
  [ Matlab code | Python code ]
• Christian Clason, Barbara Kaltenbacher:
  Avoiding degeneracy in the Westervelt equation by state constrained optimal control,
  Evolution Equations and Control Theory 2 (2013), 281–300.
• Christian Clason, Barbara Kaltenbacher:
  Optimal control of a singular PDE modeling transient MEMS with control or state constraints,
  Journal of Mathematical Analysis and Applications 410 (2014), 455–468.
• Patricia Brunner, Christian Clason, Manuel Freiberger, Hermann Scharfetter:
  A deterministic approach to the adapted optode placement for illumination of highly scattering tissue,
  Biomedical Optics Express 3 (2012), 1732–1743.
• Eduardo Casas, Christian Clason, Karl Kunisch:
  Parabolic control problems in measure spaces with sparse solutions,
  SIAM Journal on Control and Optimization 51 (2013), 28–63.
  [ Matlab code | Python code ]
• Christian Clason:
  L^∞ fitting for inverse problems with uniform noise,
  Inverse Problems 28 (2012), 104007.
  [ Matlab code | Python code ]
• Christian Clason, Barbara Kaltenbacher:
  On the use of state constraints in optimal control of singular PDEs,
  Systems & Control Letters 62 (2013), 48–54.
• Eduardo Casas, Christian Clason, Karl Kunisch:
  Approximation of elliptic control problems in measure spaces with sparse solutions,
  SIAM Journal on Control and Optimization 50 (2012), 1735–1752.
  [ Matlab code | Python code ]
• Christian Clason, Gregory von Winckel:
  A general spectral method for the numerical simulation of one-dimensional interacting fermions,
  Computer Physics Communications 183 (2012), 405–417.
  [ Matlab code | Python code ]
• Christian Clason, Karl Kunisch:
  A measure space approach to optimal source placement,
  Computational Optimization and Applications 53 (2012), 155–171.
  [ Matlab code ]
• Christian Clason, Kazufumi Ito, Karl Kunisch:
  A minimum effort optimal control problem for elliptic PDEs,
  ESAIM: Mathematical Modelling and Numerical Analysis 46 (2012), 911–927.
  [ Matlab code ]
• Florian Knoll, Christian Clason, Kristian Bredies, Martin Uecker, Rudolf Stollberger:
  Parallel imaging with nonlinear reconstruction using variational penalties,
  Magnetic Resonance in Medicine 67 (2012), 34–41.
  Selected for Virtual Issue: Data Sampling and Image Reconstruction.
  [ Matlab code ]
• Christian Clason, Bangti Jin:
  A semismooth Newton method for nonlinear parameter identification problems with impulsive noise,
  SIAM Journal on Imaging Sciences 5 (2012), 505–538.
  [ Matlab code ]
• Christian Clason, Kazufumi Ito, Karl Kunisch:
  Minimal invasion: An optimal L^∞ state constraint problem,
  ESAIM: Mathematical Modelling and Numerical Analysis 45 (2011), 505–522.
  [ Matlab code ]
• Manuel Freiberger, Christian Clason, Hermann Scharfetter:
  Total variation regularization for nonlinear fluorescence tomography with an augmented Lagrangian splitting approach,
  Applied Optics 49 (2010), 3741–3747.
  Selected for the Virtual Journal for Biomedical Optics, Volume 5, Issue 11
• Christian Clason, Bangti Jin, Karl Kunisch:
  A duality-based splitting method for ℓ¹–TV image restoration with automatic regularization parameter choice,
  SIAM Journal on Scientific Computing 32 (2010), 1484–1505.
  [ Matlab code ]
• Christian Clason, Bangti Jin, Karl Kunisch:
  A semismooth Newton method for L¹ data fitting with automatic choice of regularization parameters and noise calibration,
  SIAM Journal on Imaging Sciences 3 (2010), 199–231.
  [ Matlab code ]
• Christian Clason, Gregory von Winckel:
  On a bilinear optimization problem in parallel magnetic resonance imaging,
  Applied Mathematics and Computation 216 (2010), 1443–1452.
• Florian Knoll, Markus Unger, Christian Clason, Clemens Diwoky, Thomas Pock, Rudolf Stollberger:
  Fast reduction of undersampling artifacts in radial MR angiography with 3D total variation on graphics hardware,
  Magnetic Resonance Materials in Physics, Biology and Medicine (MAGMA) 23 (2010), 103–114.
• Manuel Freiberger, Christian Clason, Hermann Scharfetter:
  Adaptation and focusing of optode configurations for fluorescence optical tomography by experimental design methods,
  Journal of Biomedical Optics 15 (2010), 016024.
• Florian Knoll, Christian Clason, Clemens Diwoky, Rudolf Stollberger:
  Adapted random sampling patterns for accelerated MRI,
  Magnetic Resonance Materials in Physics, Biology and Medicine (MAGMA) 24 (2011), 43–50.
• Christian Clason, Karl Kunisch:
  A duality-based approach to elliptic control problems in non-reflexive Banach spaces,
  ESAIM: Control, Optimisation and Calculus of Variations 17 (2011), 243–266.
  [ Matlab code ]
• Christian Clason, Peter Hepperger:
  A forward approach to numerical data assimilation,
  SIAM Journal on Scientific Computing 31 (2009), 3090–3115.
• Frank Bauer, Christian Clason:
  On theoretical limits in parallel magnetic resonance imaging,
  International Journal of Tomography & Simulation 18 (2011), 10–23.
• Stephen Keeling, Christian Clason, Michael Hintermüller, Florian Knoll, Antoine Laurain, Gregory von Winckel:
  An image space approach to Cartesian based parallel MR imaging with total variation regularization,
  Medical Image Analysis 16 (2012), 189–200.
• Christian Clason, Barbara Kaltenbacher, Slobodan Veljović:
  Boundary optimal control of the Westervelt and the Kuznetsov equation,
  Journal of Mathematical Analysis and Applications 356 (2009), 738–751.
• Christian Clason, Michael V. Klibanov:
  The quasi-reversibility method for thermoacoustic tomography in a heterogeneous medium,
  SIAM Journal on Scientific Computing 30 (2007), 1–23.
• Larisa Beilina, Christian Clason:
  An adaptive hybrid FEM/FDM method for an inverse scattering problem in scanning acoustic microscopy,
  SIAM Journal on Scientific Computing 28 (2006), 382–402.
• Christian Clason, Andreas M. Hinz, Heinrich Schieferstein:
  A method for material parameter determination for the human mandible based on simulation and experiment,
  Computer Methods in Biomechanics and Biomedical Engineering 7 (2004), 265–276.

Book chapters

• Christian Clason, Barbara Kaltenbacher, Elena Resmerita:
  Regularization of ill-posed problems with non-negative solutions,
  in: Splitting Algorithms, Modern Operator Theory, and Applications, Heinz Bauschke and Regina Burachik and Russell Luke (eds.) (eds.), Springer, 2019, 113–155; arXiv:1805.01722.
• Clason, Christian, Do, Thi Bich Tram:
  Convex regularization of discrete-valued inverse problems,
  in: New Trends in Parameter Identification for Mathematical Models, Hofmann, Bernd and Leitão, Antonio and Zubelli, Jorge (eds.), Springer, 2018, 31–51; arXiv:1707.01041.
  [ Matlab code ]

Conference proceedings

• Christian Clason, Yu Deng, Patrick Mehlitz, Uwe Prüfert:
  A penalization scheme for the numerical solution of optimal control problems with control complementarity constraints,
  Proceedings in Applied Mathematics & Mechanics 191–2, 2019.
• Christian Clason, Carla Tameling, Benedikt Wirth:
  Design of optimal RF pulses for NMR as a discrete-valued control problem,
  MATHMOD 2018 Extended Abstract Volume ARGESIM Report 5531–32, 2018.
• Christoph Brauer, Christian Clason, Dirk Lorenz, Benedikt Wirth:
  A Sinkhorn–Newton method for entropic optimal transport,
  2017; arXiv:1710.06635.
  [ Matlab code ]
• Christoph Aigner, Christian Clason, Armin Rund, Andreas Petrovic, Rudolf Stollberger:
  Design of complex RF pulse shapes for asymmetric excitation patterns via optimal control,
  Biomed Tech 61(S1), S140, 2016.
• Markus Bödenler, Christoph Aigner, Armin Rund, Christian Clason, Rudolf Stollberger:
  Fast optimization of RF excitation,
  Magnetic Resonance Materials in Physics, Biology and Medicine 29(Suppl. 1), 358, 2016.
• Christoph Aigner, Christian Clason, Armin Rund, Rudolf Stollberger:
  Low SAR RF-pulse design by joint optimization of RF and gradient shape with physical constraints,
  Proc. Intl. Soc. Mag. Reson. Med. (24), 1133, 2016.
  Oral presentation
• Christian Clason, Karl Kunisch, Armin Rund:
  Optimal control of partial differential equations with nonsmooth cost functionals,
  Proceedings of the XXIV Congress on Differential equations and applications, Cádiz, June 8–12, 2015 3–8, 2015.
• Christoph Aigner, Christian Clason, Armin Rund, Rudolf Stollberger:
  SAR reduced excitation by joint design of RF pulse and slice selective gradient shape,
  Proc. Intl. Soc. Mag. Reson. Med. (23), 2397, 2015.
• Christoph Aigner, Christian Clason, Armin Rund, Rudolf Stollberger:
  RF pulse design for simultaneous multislice excitation with highly reduced B1 peak amplitude,
  Proc. Intl. Soc. Mag. Reson. Med. (23), 915, 2015.
  Oral presentation, magna cum laude award
• Christoph Aigner, Christian Clason, Armin Rund, Rudolf Stollberger:
  RF pulse design for low SAR simultaneous multislice (SMS) excitation using optimal control,
  Proc. Intl. Soc. Mag. Reson. Med. (22), 1448, 2014.
• Christoph Aigner, Christian Clason, Armin Rund, Rudolf Stollberger:
  Validation of a flexible optimal control approach for RF-pulse design including relaxation effects and SAR,
  Tagungsband zur ÖGBMT-Jahrestagung 2014 23–24, 2014.
• Florian Knoll, Christian Clason, Kristian Bredies, Rudolf Stollberger:
  Iterative Image reconstruction for accelerated MR-Imaging: Mathematics meets Radiology,
  Strahlenther Onkol 189(2), 184–185, 2013.
• Christian Clason:
  Parameter identification problems with non-Gaussian noise,
  Computational Inverse Problems Oberwolfach Reports 9(4), 3117–3118, 2013.
• Florian Knoll, Christian Clason, Kristian Bredies, Martin Uecker, Rudolf Stollberger:
  Parallel Imaging with Nonlinear Reconstruction Using Variational Penalties,
  Proc. Intl. Soc. Mag. Reson. Med. (19), 485, 2011.
  Oral presentation
• Markus Kraiger, Florian Knoll, Christian Clason, Rudolf Stollberger:
  Assessment of Iterative Regularized Parallel Imaging Reconstruction for Quantitative Magnetic Resonance Imaging,
  Biomed Tech 55(s1), 234–237, 2010.
• Christian Clason, Barbara Kaltenbacher, Irena Lasiecka, Slobodan Veljović:
  Optimal boundary control for equations of nonlinear acoustics,
  Methods and Models in Automation and Robotics (MMAR), 2010 15th International Conference on 143, 2010.
• Florian Knoll, Christian Clason, Rudolf Stollberger:
  Tailored 3D Random Sampling Patterns for Nonlinear Parallel Imaging,
  Proc. Intl. Soc. Mag. Reson. Med. (18), 2876, 2010.
• Florian Knoll, Christian Clason, Manuela Aschauer, Franz Ebner, Rudolf Stollberger:
  Adapted Random 3D Sampling Patterns for CE-MRA,
  Proc. Intl. Soc. Mag. Reson. Med. (18), 3763, 2010.
• Markus Kraiger, Florian Knoll, Christian Clason, Rudolf Stollberger:
  Quantification of Transversal Relaxation Time T2 using an Iterative Regularized Parallel Imaging Reconstruction,
  Proc. Intl. Soc. Mag. Reson. Med. (18), 2954, 2010.
• Gerald Buchgraber, Florian Knoll, Manuel Freiberger, Christian Clason, Markus Grabner, Rudolf Stollberger:
  Fast Regridding Using LSQR on Graphics Hardware,
  Proc. Intl. Soc. Mag. Reson. Med. (18), 4959, 2010.
• Florian Knoll, Christian Clason, Franz Ebner, Manuela Aschauer, Rudolf Stollberger:
  CE-MRA with tailored 3D random sampling patterns and nonlinear parallel imaging reconstruction,
  Abstracts 21st Annual International Conference on Magnetic Resonance Angiography 119, 2009.
• Florian Knoll, Christian Clason, Martin Uecker, Rudolf Stollberger:
  Improved Reconstruction in Non-Cartesian Parallel Imaging by Regularized Nonlinear Inversion.,
  Proc. Intl. Soc. Mag. Reson. Med. (17), 2721, 2009.
• Ruxandra Lasowski, Selim Benhimane, Jakob Vogel, Tobias F. Jakobs, Christoph J. Zech, Christoph Trumm, Christian Clason, Nassir Navab:
  Adaptive visualization for needle guidance in RF liver ablation: taking organ deformation into account,
  Medical Imaging 2008: Visualization, Image-guided Procedures, and Modeling 6918(1), 69180A, 2008.
• Larisa Beilina, Christian Clason:
  An inverse medium problem for scanning acoustic microscopy,
  Proceedings in Applied Mathematics & Mechanics 5647–648, 2005.
• Christian Clason, Andreas M. Hinz:
  Simulation of the elastic behaviour of the human mandible: experimental validation and material parameter identification,
  European Series in Applied and Industrial Mathematics, ESAIM 1231–33, 2002.
• Christian Clason, Andreas M. Hinz:
  Quantative sonography for bone material,
  European Series in Applied and Industrial Mathematics, ESAIM 1273–74, 2002.
• Christian Clason, Heinrich Schieferstein, et al.:
  Structure Analysis of the Human Mandible – Experimental Study and Numerical Simulation,
  1st International Congress on Mastication and Health, Yokohama, September 15-18 2002.
• Christian Clason, Heinrich Schieferstein, et al.:
  An inverse medium problem for scanning acoustic microscopy,
  Proceedings of the XVIIIth Congress of the International Society of Biomechanics, Zürich 2001.

Theses

• Cumulative Habilitation thesis:
  Numerical solution of optimal control and inverse problems in non-reflexive Banach spaces,
  Institute for Mathematics and Scientific Computing, Karl-Franzens-Universität Graz, 2012.
  [ Summary ]
• Dissertation:
  A direct method for the numerical time reversal of waves in a heterogeneous medium,
  Zentrum Mathematik, Technische Universität München, 2006.
• Diploma thesis:
  Lösung eines inversen Problems aus der Biomechanik via Finite Elemente,
  Mathematisches Institut, Ludwig-Maximilians-Universität München, 2001.

Others

• Christian Clason:
  Preface to special issue on “Optimal Control of Nonlinear Differential Equations”,
  Computational Optimization and Applications 87 (2024), i–iv.
• Eduardo Casas, Christian Clason, Arnd Rösch:
  System Modeling and Optimization,
  Mathematical Control & Related Fields 11 (2021), i–ii.
• Christian Clason and Barbara Kaltenbacher:
  Optimal control and inverse problems,
  Inverse Problems 36 (2020), 060301.
• Christian Clason:
  Regularization of Inverse Problems,
  Lecture notes, 2020; arXiv:2001.00617.
• Clason, Christian:
  Optimierung mit “Knick”,
  UNIKATE: Berichte aus Forschung und Lehre 53 (2019), 60–67.
• Clason, Christian:
  Optimization and differentiation (book review),
  SIAM Review 60 (2018), 1020–1021.
• Christian Clason:
  Introduction to Finite Element Methods,
  Lecture notes, 2017; arXiv:1709.08618.
• Christian Clason:
  Nonsmooth Analysis and Optimization,
  Lecture notes, 2017; arXiv:1708.04180.
• Kristian Bredies, Christian Clason, Karl Kunisch, Gregory von Winckel (eds.):
  Control and Optimization with PDE Constraints,
  International Series of Numerical Mathematics, volume 164, Birkhäuser, Basel, 2013.
• Christian Clason and Gregory von Winckel:
  A general spectral method for the numerical simulation of one-dimensional interacting fermions (new version announcement),
  Computer Physics Communications 183 (2012), 1843–1844.
• Christian Clason and Maxim Shishlenin:
  Recent Advances in Analytical and Numerical Methods in Inverse Problems for PDEs (minisymposium report),
  Journal of Inverse and Ill-Posed Problems 18 (2011), 955–958.
• Christian Clason and Andreas M. Hinz:
  From bits to bites: Mathematical simulations for cranio-maxillofacial surgery,
  in Bubbles, Jaws, Moose Tests, and More: The Wonderful World of Numerical Simulation, Hans-Joachim Bungartz and Ralf-Peter Mundani and Anton Christian Frank (eds.), VideoMATH, Springer, 2005.