Christian Müller

Associate Professor

Head of research area Applied Geometry [www]

Applied Geometry
Wiedner Hauptstr. 8-10/104
A-1040 Vienna, Austria




cmueller at geometrie tuwien ac at
Christian Mueller

Education — Professional Experience — Research Interests:   Show Details Hide Details

Professional Experience

Research Interests
  • Discrete Differential Geometry
  • Computational Geometry
  • Geometry Processing
  • Geometry



Discrete geometric structures motivated by applications
Funded by:

FWF Austrian Science Fund [I 4868]

10/2020 - 09/2024


Discrete geometric structures motivated by applications in architecture
Funded by:

FWF Austrian Science Fund [I 2978]

2020 - 2021


Discrete surfaces with prescribed mean curvature
Funded by:

FWF Austrian Science Fund [P 29981]

09/2017 - 02/2023


Generating surfaces from curvature — a playful approach
Funded by:

FWF Austrian Science Fund [TCS 52]

08/2018 - 07/2021


List of my courses in [TISS]

The Geometry of Discrete Asymptotic-Geodesic 4-Webs in Isotropic 3-Space
C. Müller and H. Pottmann
Monatsh. Math. 203, 223-246 (2024).
Meshes with Spherical Faces
M. Kilian, A.S. Ramos Cisneros, C. Müller and H. Pottmann
ACM Trans. Graphics 42, 6 (2023), 177:1-177:19.
Smooth and Discrete Cone-Nets
M. Kilian C. Müller, and J. Tervooren
Results Maths 78, 110 (2023).
Equilibrium stressability of multidimensional frameworks
O. Karpenkov, C. Müller, G. Panina, B. Servatius, H. Servatius, and D. Siersma
Eur. J. Math. 8, 33-61 (2022).
Advanced Computational Design - digitale Methoden für die frühe Entwurfsphase
M. Wimmer, I. Kovacic, P. Ferschin, F. Rist, M. Hensel, K. Schinegger, S. Rutzinger, H. Kaufmann, M. Kilian, C. Müller, I. Izmestiev, G. Nawratil, J. Füssl, M. Stavric, D. Hahn, G. Suter
Bautechnik 99, H. 10, S. 720-730 (2022).
Geometric criteria for realizability of tensegrities in higher dimensions
O. Karpenkov and C. Müller
SIAM J. Discrete Math. 35-2 (2021), pp. 637-660.
Discrete Curvature and Torsion from Cross-Ratios
C. Müller and A. Vaxman
Ann. Mat. Pura Appl., 200, 1935-1960 (2021).
Architectural freeform surfaces designed for cost-effective paneling through mold re-use
D. Pellis, M. Kilian, H. Wang, C. Jiang, C. Müller, and H. Pottmann
Advances in Architectural Geometry 2020.
Principal Symmetric Meshes
D. Pellis, H. Wang, M. Kilian, F. Rist, H. Pottmann, and C. Müller
ACM Trans. Graphics 39, 4 (2020), 127:1-127:17, Proc. SIGGRAPH.
Discretizations of surfaces with constant ratio of principal curvatures
M.R. Jimenez, C. Müller and H. Pottmann
Discrete Comput. Geom. 63(3), (2020), 670-704.
Discrete Geodesic Parallel Coordinates
H. Wang, D. Pellis, F. Rist, H. Pottmann, and C. Müller
ACM Trans. Graphics 38,6 (2019), 173:1-173:13, Proc. SIGGRAPH ASIA.
Canonical Möbius Subdivision
A. Vaxman, C. Müller and O. Weber
ACM Trans. Graphics (Proc. SIGGRAPH ASIA), 37(6), 227:1-227:15, 2018.
Regular Meshes from Polygonal Patterns
A. Vaxman, C. Müller and O. Weber
ACM Trans. Graphics (Proc. SIGGRAPH), 36(4), 2017.
Semi-Discrete Constant Mean Curvature Surfaces of Revolution in Minkowski Space
C. Müller and M. Yasumoto
Geometry, integrability and quantization XVIII, 191-202, Bulgar. Acad. Sci., Sofia, (2017).
Semi-discrete isothermic surfaces
F. Burstall, U. Hertrich-Jeromin, C. Müller and W. Rossman
Geom. Dedicata, 183 (2016), no. 1, 43-58.
Planar discrete isothermic nets of conical type
C. Müller
Beitr. Algebra Geom. 57 (2016), no. 2, 459-482.
Conformal Mesh Deformations with Möbius Transformations
A. Vaxman, C. Müller and O. Weber
ACM Trans. Graphics (Proc. SIGGRAPH), 34(4), 2015.
Best Paper Award 2015 (Fac of Math and Geoinf — TU Wien)
Semi-discrete Constant Mean Curvature Surfaces
C. Müller
Math. Z., 279 (2015), no. 1-2, 459-478.
On Discrete Constant Mean Curvature Surfaces
C. Müller
Discrete Comput. Geom., 51 (2014), no. 3, 516-538.
Discretizations of the hyperbolic cosine
C. Müller
Beitr. Algebra Geom., 54 (2013), no. 2, 509-531.
Semi-Discrete Isothermic Surfaces
C. Müller and J. Wallner
Results in Mathematics, 63 (2013), no. 3-4, 1395-1407.
Conformal hexagonal meshes
C. Müller
Geom. Dedicata 154 (2011), 27-46.
Oriented mixed area and discrete minimal surfaces
C. Müller and J. Wallner
Discrete Comput. Geom. 43 (2010), 303-320.