Christian Lessig



Christian Lessig


Email: christian.lessig (at) ovgu.de

Telephon: +49-391-6752922

Google Scholar: profile

Office hours: Thursdays, 13:00 - 14:00 (by appointment), G29-215

I am an assistant professor at Otto-von-Guericke Universität Magdeburg where I am affiliated with the Institute for Simulation and Graphics. My research centers around the development of effective simulation techniques for computer graphics, in particular for light and fluids. This work often takes me to questions in applied mathematics and mathematical physics that I also pursue.


News


Publications


Under review

N. Margenberg, D. Hartmann, C. Lessig, and T. Richter, A Neural Network Multigrid Solver for the Navier-Stokes Equations, Submitted to Journal of Computational Physics, 2020.


C. C. da Silva, B. Dodov, H. Dijkstra, T. Sapsis, and C. Lessig, A Local Spectral Exterior Calculus for the Sphere and Application to the Shallow Water Equations, Submitted to Journal of Computational Physics, 2020.



Journals

Z. Y. Wan, B. Dodov, C. Lessig, H. Dijkstra, and T. P. Sapsis, A Data-Driven Framework for the Stochastic Reconstruction of Small-Scale Features in Climate Data Sets, 442, p. 110484, Journal of Computational Physics, 2021.


N. Margenberg, C. Lessig, and T. Richter, Structure Preservation for the Deep Neural Network Multigrid Solver, Accepted to Electronic Transactions of Numerical Analysis, 2021.


C. Lessig, PsiEC: A Local Spherical Exterior Calculus, Applied and Computational Harmonic Analysis, 51:56–103, March 2021.


C. Lessig, Local Fourier Slice Photography, ACM Transactions on Graphics, 39(3), Apr. 2020.


C. Lessig, Divergence Free Polar Wavelets for the Analysis and Representation of Fluid Flows, Journal of Mathematical Fluid Dynamics, vol. 21, no. 18, 2019.


C. Lessig, P. Petersen, and M. Schäfer, Bendlets: A second-order shearlet transform with bent elements, Appl. Comput. Harmon. Anal., vol. 46, no. 2, p. 384--399, 2019.


C. Lessig, A local Fourier slice equation, Optics Express, vol. 26, no. 23, p. 29769, Nov. 2018.


F. J. W. A. Martins, C. C. da Silva, C. Lessig, and K. Zähringer, Ray-Tracing Based Image Correction of Optical Distortion for PIV Measurements in Packed Beds, JAOP Journal of Advanced Optics and Photonics, vol. 1, no. 2, pp. 71–94, 2018.


X. Wang, D. Lindlbauer, C. Lessig, M. Maertens, and M. Alexa, Measuring the Visual Salience of 3D Printed Objects, IEEE Computer Graphics and Applications, vol. 36, no. 4, 2016


C. Lessig, M. Desbrun, and E. Fiume, A Constructive Theory of Sampling for Image Synthesis Using Reproducing Kernel Bases, ACM Trans. Graph. (Proceedings SIGGRAPH 2014), 33(4), 1–14, 2014.


T. de Witt, C. Lessig, and E. Fiume, Fluid Simulation Using Laplacian Eigenfunctions, ACM Trans. Graph., 31(1), 1–11, 2012.


C. Lessig, T. de Witt, and E. Fiume, Efficient and Accurate Rotation of Finite Spherical Harmonics Expansions, J. Comp. Phys., 231(2), 243–250, 2012.


C. Lessig and E. Fiume, On the Effective Dimension of Light Transport, Comput. Graph. Forum (Proceedings of EGSR 2010), 29(4), 1399–1403, 2010.


C. Lessig and E. Fiume, SOHO: Orthogonal and Symmetric Haar Wavelets on the Sphere, ACM Trans. Graph., 27(1) 2008.


Book chapters

X. Wang, D. Lindlbauer, C. Lessig, and M. Alexa, Accuracy of Monocular Gaze Tracking on 3D Geometry, Eye Tracking and Visualization, 2017.



C. Lessig and A. L. Castro, The Geometry of Phase Space Lifts: From Maxwell's Equations to Radiative Transfer Theory, in Geometry, Mechanics and Dynamics: the Legacy of Jerry Marsden, Springer, 2014; also presented at the SIAM Annual conference 2013.


Other reviewed

S. Hoffmann and C. Lessig. Towards representation learning for atmospheric data. In NEURIPS 2021 Workshop on Climate Change (poster), 2021


N. Margenberg, R. Jendersie, T. Richter, C. Lessig, Deep neural networks for geometric multigrid methods, ECCOMAS 2021, 2021.


N. Margenberg, T. Richter, C. Lessig, D. Hartmann, A deep learning based multigrid multiscale method for solving the Navier-Stokes-equations, International Workshop on Scientific Machine Learning, University of Cologne, 2020.


T. Sapsis, Z. Y. Wan, B. Dodov, H. A. Dijkstra, and C. Lessig, Data-assisted reduced-order modeling of climate dynamics, in EGU 2019 orals, 2019.


B. Dodov, C. Lessig, T. Sapsis, and H. Dijkstra, Multiresolution Formulation of a Global Circulation Model Specifically Designed for Data-Driven Machine Learning Assistance, in EGU 2019 orals, 2019.


C. C. da Silva, C. Lessig, B. Dodov, H. A. Dijkstra, and T. Sapsis, A Local Spectral Exterior Calculus for the Primitive Equations, in EGU 2019 orals, 2019.


F. J. W. A. Martins, A. C. da Silva, C. Lessig, and K. Zähringer, Ray-Tracing Based Image Correc- tion of Optical Distortions Caused by Transparent Spheres for Application in PIV, 19th International Symposium on the Application of Laser and Imaging Techniques to Fluid Mechanics, 2018.


C. Lessig, Controlling and Sampling Visibility Information on the Image Plane, Eurographics Symposium on Rendering 2017, 2017.


X. Wang, D. Lindlbauer, C. Lessig, and M. Alexa, Accuracy of Monocular Gaze Tracking on 3D Geometry, ETVIS 2015: Workshop on Eye Tracking and Visualization, 2015.


G. Mason, C. Lessig, and M. Desbrun, Discretization of Hamiltonian Incompressible Fluids, in 17th US National Conference of Theoretical and Applied Mathematics, 2014.


C. Lessig and P. Bientinesi, On Parallelizing the MRRR Algorithm for Data-Parallel Coprocessors, in Proceedings of PPAM 2010: Part I, 396–402, 2010.



C. Lessig, D. Nowrouzezahrai, and K. Singh, GPU-Accelerated Ray Casting of Node-Based Implicit Surfaces, in Siggraph 2006 Posters, 2006.



H.-F. Pabst, J. P. Springer, A. Schollmeyer, R. Lenhardt, C. Lessig, and B. Fröhlich, Ray Casting of Trimmed NURBS Surfaces on the GPU, in The 2006 IEEE Symposium on Interactive Ray Tracing, 2006.



M. Moehring, C. Lessig, and O. Bimber, Video See-Through and Optical Tracking with Consumer Cell Phones, in Siggraph 2004 Sketches and Applications, 2004.



M. Moehring, C. Lessig, and O. Bimber, Video See-Through AR on Consumer Cell-Phones, in Third IEEE and ACM International Symposium on Mixed and Augmented Reality, 2004, pp. 252–253.



Teaching


Possible thesis topics: The list is not exhaustive so please get in touch with me if you are looking for more topics.

Spring 2021:


Scientific Computing I, OVGU Magdeburg.


GPU Programming, OVGU Magdeburg.



Fall 2020:



Scientific Computing II, OVGU Magdeburg.


GPU Programming, OVGU Magdeburg.



Spring 2020:


Scientific Computing I, OVGU Magdeburg.



Fall 2019:

GPU Programming, OVGU Magdeburg.


Scientific Computing II, OVGU Magdeburg.



Spring 2019:

Scientific Computing I, OVGU Magdeburg.




Fall 2018:

GPU Programming, OVGU Magdeburg.


Scientific Computing II, OVGU Magdeburg.



Spring 2018:

Scientific Computing I, OVGU Magdeburg.




Older teaching:

Fall 2017

GPU Programming, OVGU Magdeburg.


Fall 2017

Advanced Image Synthesis, OVGU Magdeburg.


Spring 2017

Spring 2017

Fall 2016

GPU Programming, , OVGU Magdeburg


October 2015

Fall/Winter 2015
Fall/Winter 2014

Spring/Summer 2014

February 2014

Fall/Winter 2013

Spring/Summer 2013

Fall/Winter 2011

Spring/Summer 2011


Curriculum Vitae


2016 - present

Juniorprofessor (assistant professor) at Otto-von-Guericke Universität Magdeburg


2013 - 2016

2005 - 2007

Summer intern in the developer technology group at NVIDIA working with Mark Harris