https://orcid.org/0000-0003-1582-6991
References
- Atiyah, M. F., Singer, I. M. (1968). The index of elliptic operators: III. Ann. Math. 87(3): 546–604. DOI:10.2307/1970717
- Bobenko, A. I. (1994). Surfaces in terms of 2 by 2 matrices. Old and new integrable cases. In: Fordy A. P., Wood J. C., eds. Harmonic Maps and Integrable Systems. Wiesbaden: Vieweg + Teubner Verlag, pp. 83–127.
- Chern, A., Knöppel, F., Pinkall, U., Schröder, P. (2018). Shape from metric. ACM Trans. Graph. 37(4): 1–17. DOI:10.1145/3197517.3201276
- Chubelaschwili, D. (2016). Variational formulas for immersions into 3-manifolds. PhD thesis. Technische Universität Berlin, Berlin, Germany.
- Crane, K., Pinkall, U., Schröder, P. (2013). Robust fairing via conformal curvature flow. ACM Trans. Graph. 32(4): 1–10. DOI:10.1145/2461912.2461986
- Crane, K., Pinkall, U., Schröder, P. (2011). Spin transformations of discrete surfaces. ACM Trans. Graph. 30(4): 1–10. DOI:10.1145/2010324.1964999
- Friedrich, T. (1998). On the spinor representation of surfaces in Euclidean 3-space. J. Geom. Phys. 28(1): 143–157. DOI:10.1016/S0393-0440(98)00018-7
- Hijazi, O., Montiel, S., Zhang, X. (2001). Dirac operator on embedded hypersurfaces. Math. Res. Lett. 8(2): 195–208. DOI:10.4310/MRL.2001.v8.n2.a8
- Hoffmann, T., Sageman-Furnas, A. O., Wardetzky, M. (2016). A discrete parametrized surface theory in R3. Int. Math. Res. Not. 2017(14): 4217–4258.
- Kamberov, G., Pedit, F., and Pinkall, U. (1998). Bonnet pairs and isothermic surfaces. Duke Math. J. 92(3): 637–644.
- Kamberov, G., Norman, P., Pedit, F., Pinkall, U. (2002). Quaternions, Spinors, and Surfaces. Vol. 299. Contemporary Mathematics. Providence, Rhode Island: American Mathematical Society.
- Karpenkov, O., Wallner, J. (2014). On offsets and curvatures for discrete and semidiscrete surfaces. Beitr. Algebra Geom. 55(1): 207–228.
- Knöppel, F., Pinkall, U. (2016). Complex line bundles over simplicial complexes and their applications. In: Bobenko, A., ed. Advances in Discrete Differential Geometry. Berlin Heidelberg: Springer, pp. 197–239.
- Lam, W. Y. (2018). Discrete minimal surfaces: critical points of the area functional from integrable systems. Int. Math. Res. Not. 2018(6): 1808–1845.
- Lam, W. Y, Pinkall, U. (2016). Holomorphic vector fields and quadratic differentials on planar triangular meshes. In: Bobenko, A., ed. Advances in Discrete Differential Geometry. Berlin Heidelberg: Springer, pp. 241–265.
- Lawson, H. B, Michelsohn, M.-L. (1990). Spin Geometry. Princeton, NJ: Princeton University Press.
- Roth, J. (2010). Spinorial characterizations of surfaces into three-dimensional homogeneous manifolds. J. Geom. Phys. 60(6): 1045–1061.
- Ye, Z., Diamanti, O., Tang, C., Guibas, L, Hoffmann, T. (2018). A unified discrete framework for intrinsic and extrinsic Dirac operators for geometry processing. Comput. Graphics Forum. 37(5): 93–106.