I am a 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.
C. C. da Silva and C. Lessig, Variational Symplectic Diagonally Implicit Runge-Kutta Methods for Isospectral Systems, Submitted to BIT Numerical Mathematics, 2021.
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.
N. Margenberg, D. Hartmann, C. Lessig, and T. Richter, A Neural Network Multigrid Solver for the Navier-Stokes Equations, Journal of Computational Physics, 2020.
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.
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.
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.
Advanced Image Synthesis, OVGU Magdeburg.
Team Project: Post-Processing for Rendering, OVGU Magdeburg.
Mathematical Methods for Computer Graphics, OVGU Magdeburg.
GPU Programming, , OVGU Magdeburg
Mathematical Methods for Computer Graphics, University of Toronto.
Computer Graphics 2 (Geometric Representations), TU Berlin.
Mathematical Methods for Computer Graphics, University of Toronto.
Algorithms and Data Structures, TU Berlin.
Computer Graphics 1, TU Berlin.
Advanced Image Synthesis, TU Berlin.
Juniorprofessor (assistant professor) at Otto-von-Guericke Universität Magdeburg
Post-doc with Marc Alexa in the computer graphics group at TU Berlin
Post-doc with Mathieu Desbrun in the Department of Computing+Mathematical Sciences at the California Institute of Technology
Ph.D. student with Eugene Fiume at the University of Toronto (Thesis: Modern Foundations of Light Transport Simulation)
M.Sc. student with Eugene Fiume at the University of Toronto (Thesis: Symmetric and Orthogonal Wavelets on the Sphere)
Summer intern in the developer technology group at NVIDIA working with Mark Harris