Journal Articles

Ceballos Inza, V., Fykouras, P., Rist, F., Häseker, D., Hojjat, M., Müller, C., & Pottmann, H. (2024). Designing triangle meshes with controlled roughness. ACM Transactions on Graphics, 43(6), 1–20. https://doi.org/10.1145/3687940 ( reposiTUm)
Ramos Cisneros, A. S., Kilian, M., Aikyn, A., Pottmann, H., & Müller, C. (2024). Approximation by Meshes with Spherical Faces. ACM Transactions on Graphics, 43(6), 1–18. https://doi.org/10.1145/3687942 ( reposiTUm)
Müller, C., & Pottmann, H. (2024). The geometry of discrete asymptotic-geodesic 4-webs in isotropic 3-space. Monatshefte Für Mathematik, 203, 223–246. https://doi.org/10.1007/s00605-023-01916-0 ( reposiTUm)
Kilian, M., Müller, C., & Tervooren, J. (2023). Smooth and Discrete Cone-Nets. Results in Mathematics, 78(3), Article 110. https://doi.org/10.1007/s00025-023-01884-9 ( reposiTUm)
Kilian, M., Ramos Cisneros, A. S., Müller, C., & Pottmann, H. (2023). Meshes with spherical faces. ACM Transactions on Graphics, 42(6), 1–19. https://doi.org/10.1145/3618345 ( reposiTUm)
Wimmer, M., Kovacic, I., Ferschin, P., Rist, F., Hensel, M., Schinegger, K., Rutzinger, S., Kaufmann, H., Kilian, M., Müller, C., Izmestiev, I., Nawratil, G., Füssl, J., Stavric, M., Hahn, D., & Suter, G. (2022). Advanced Computational Design – digitale Methoden für die frühe Entwurfsphase. Bautechnik, 99(10), 720–730. https://doi.org/10.1002/bate.202200057 ( reposiTUm)
Karpenkov, O., Müller, C., Panina, G., Servatius, B., Servatius, H., & Siersma, D. (2022). Equilibrium stressability of multidimensional frameworks. European Journal of Mathematics, 8(1), 33–61. https://doi.org/10.1007/s40879-021-00523-3 ( reposiTUm)
Karpenkov, O., & Mueller, C. (2021). Geometric criteria for realizability of tensegrities in higher dimensions. SIAM Journal on Discrete Mathematics, 35(2), 637–660. https://doi.org/10.1137/19m1281903 ( reposiTUm)
Pellis, D., Wang, H., Kilian, M., Rist, F., Pottmann, H., & Müller, C. (2020). Principal Symmetric Meshes. ACM Transactions on Graphics, 39(4). https://doi.org/10.1145/3386569.3392446 ( reposiTUm)
Wang, H., Pellis, D., Rist, F., Pottmann, H., & Müller, C. (2019). Discrete Geodesic Parallel Coordinates. ACM Transactions on Graphics, 38(6), 1–13. https://doi.org/10.1145/3355089.3356541 ( reposiTUm)
Jimenez, M. R., Müller, C., & Pottmann, H. (2019). Discretizations of Surfaces with Constant Ratio of Principal Curvatures. Discrete & Computational Geometry, 63(3), 670–704. https://doi.org/10.1007/s00454-019-00098-7 ( reposiTUm)
Vaxman, A., Müller, C., & Weber, O. (2017). Regular Meshes from Polygonal Patterns. ACM Transactions on Graphics, 36(4), 1–15. https://doi.org/10.1145/3072959.3073593 ( reposiTUm)
Burstall, F., Hertrich-Jeromin, U., Müller, C., & Rossman, W. (2016). Semi-discrete isothermic surfaces. Geometriae Dedicata, 183(1), 43–58. https://doi.org/10.1007/s10711-016-0143-7 ( reposiTUm)
Müller, C. (2016). Planar discrete isothermic nets of conical type. Contributions to Algebra and Geometry, 57(2), 459–482. https://doi.org/10.1007/s13366-015-0256-4 ( reposiTUm)
Müller, C. (2015). Semi-Discrete Constant Mean Curvature Surfaces. Mathematische Zeitschrift, 279(1–2), 459–478. https://doi.org/10.1007/s00209-014-1377-4 ( reposiTUm)
Vaxman, A., Müller, C., & Weber, O. (2015). Conformal Mesh Deformations with Möbius Transformations. ACM Transactions on Graphics, 34(4), 1–11. https://doi.org/10.1145/2766915 ( reposiTUm)
Müller, C. (2014). On Discrete Mean Curvature Surfaces. DISCRETE & COMPUTATIONAL GEOMETRY, 51(3), 516–538. https://doi.org/10.1007/s00454-014-9577-6 ( reposiTUm)
Müller, C. (2013). Discretizations of the hyperbolic cosine. Contributions to Algebra and Geometry, 54(2), 509–531. https://doi.org/10.1007/s13366-012-0097-3 ( reposiTUm)
Müller, C., & Wallner, J. (2013). Semidiscrete isothermic surfaces. Results in Mathematics, 63(3–4), 1395–1407. https://doi.org/10.1007/s00025-012-0292-4 ( reposiTUm)
Müller, C. (2011). Conformal hexagonal meshes. Geometriae Dedicata, 154(1), 27–46. https://doi.org/10.1007/s10711-010-9566-8 ( reposiTUm)
Müller, C., & Wallner, J. (2010). Oriented mixed area and discrete minimal surfaces. DISCRETE & COMPUTATIONAL GEOMETRY, 43, 303–320. http://hdl.handle.net/20.500.12708/167762 ( reposiTUm)

Conference Proceedings Contributions

Vaxman, A., Müller, C., & Weber, O. (2018). Canonical Möbius subdivision. In ACM Transactions on Graphics (pp. 1–15). ACM SIGGRAPH. https://doi.org/10.1145/3272127.3275007 ( reposiTUm)
Müller, C., & Yasumoto, M. (2017). Semi-Discrete Constant Mean Curvature Surfaces of Revolution in Minkowski Space. In Geometry, Integrability and Quantization (pp. 191–202). Avangard Prima. https://doi.org/10.7546/giq-18-2017-191-202 ( reposiTUm)

Presentations

Müller, C. (2021). Architectural Design. Interplay between Geometry, Materials, and Shape - an overview. SIAM Conference on Geometric and Physical Modeling, online international, Unknown. http://hdl.handle.net/20.500.12708/123381 ( reposiTUm)
Müller, C. (2021). Mathematik in industriellen Anwendungen. DMV-ÖMG Annual Conference 2021, Passau, Deutschland, Germany. http://hdl.handle.net/20.500.12708/123465 ( reposiTUm)
Müller, C. (2021). Geometric structures motivated by architecture. The 27th Osaka City University International Academic Symposium Mathematical Science of Visualization, and Deepening of Symmetry and Moduli; University of Osaka, Osaka, Japan. http://hdl.handle.net/20.500.12708/123464 ( reposiTUm)
Müller, C. (2020). Discrete Koenigs nets and applications. Workshop and school on geometric analysis and discrete geometry, Seoul, Korea (the Republic of). http://hdl.handle.net/20.500.12708/123079 ( reposiTUm)
Müller, C. (2020). Curvature for polyhedral surfaces. Workshop and school on geometric analysis and discrete geometry, Seoul, Korea (the Republic of). http://hdl.handle.net/20.500.12708/123078 ( reposiTUm)
Müller, C. (2020). Discrete curvatures. online conference - Symposium on Geometry Processing 2020, Utrecht University, Utrecht, Netherlands (the). http://hdl.handle.net/20.500.12708/123080 ( reposiTUm)
Müller, C. (2013). Discretizing holomorphic maps and minimal surfaces with conical nets. Workshop on Discretization in Geometry and Dynamics, Lichtenfels, Deutschland, EU. http://hdl.handle.net/20.500.12708/120672 ( reposiTUm)
Müller, C. (2011). On discrete cmc surfaces. Geometry Workshop, Obergurgl, Austria. http://hdl.handle.net/20.500.12708/119930 ( reposiTUm)
Müller, C. (2011). On discrete constant mean curvature surfaces. NRN - Industrial Geometry Closing Workshop, Wien, Austria. http://hdl.handle.net/20.500.12708/119955 ( reposiTUm)

Preprints

Affolter, N. C., Dellinger, F., Müller, C., Polly, D. F., & Smeenk, N. (2024). Discrete Lorentz surfaces and s-embeddings I: isothermic surfaces. arXiv. https://doi.org/10.48550/arXiv.2410.11575 ( reposiTUm)
Affolter, N. C., Dellinger, F., Müller, C., Polly, D. F., & Smeenk, N. (2024). Discrete Lorentz surfaces and s-embeddings II: maximal surfaces. arXiv. https://doi.org/10.48550/arXiv.2411.19055 ( reposiTUm)
Karpenkov, O., Müller, C., & Panina, G. (2020). Equilibrium stressability of multidimentional frameworks. arXiv. https://doi.org/10.48550/arXiv.2009.05469 ( reposiTUm)
Müller, C., & Vaxman, A. (2020). Discrete Curvature and Torsion from Cross-Ratios. arXiv. http://hdl.handle.net/20.500.12708/141518 ( reposiTUm)