This research is supported by
Smooth surfaces from rational bilinear patches L. Shi, J. Wang and H. PottmannComput. Aided Geom. Design (2014), 31(1), 1-12. |
Affine arc length polylines and curvature continuous uniform B-splines F. KäferböckComput. Aided Geom. Design, Special Issue, (to appear). |
On Discrete Constant Mean Curvature Surfaces C. MüllerDiscrete Comput. Geom., 51 (2014), no. 3, 516-538. |
Discrete Line Congruences for Shading and Lighting J. Wang, C. Jiang, P. Bompas, J. Wallner, and H. PottmannComputer Graphics Forum 32/5 (2013), Proc. Symposium Geometry Processing |
Smooth surfaces from bilinear patches: discrete affine minimal surfaces F. Käferböck and H. PottmannComput. Aided Geom. Design 30(5): 476-489, 2013 |
Ruled Laguerre minimal surfaces M. Skopenkov, H. Pottmann and P. GrohsMath. Z. 272, 645-674, 2012 |
Discretizations of the hyperbolic cosine C. MüllerBeitr. Algebra Geometrie 54 (2013), no. , 509-531. |
Semi-Discrete Isothermic Surfaces C. Müller and J. WallnerResults Math. 63 (2013), no. 3-4, 1395-1407. |
C. Müller Geom. Dedicata 154 (2011) |
A curvature theory for discrete surfaces based on mesh parallelity . Alexander I.
Bobenko, Helmut Pottmann, and Johannes Wallner
Math. Annalen (2010) |
Packing circles and sphere on surfaces A. Schiftner, M.
Höbinger, J. Wallner, H. Pottmann
to appear in ACM Trans. Graphics, 28/5, Proc. SIGGRAPH Asia (2009) |
Freeform surfaces
from single curved panels. H. Pottmann, A.
Schiftner, P. Bo, H. Schmiedhofer, W. Wang, N. Baldassini, and J.
Wallner.
ACM Trans. Graphics, 27/3, Proc. SIGGRAPH (2008). |
M. Kilian, S.
Föry, Z. Chen, N. J. Mitra, A. Sheffer and H. Pottmann.
ACM Trans. Graphics, 27/3, Proc. SIGGRAPH (2008). |
Integral
invariants for robust geometry processing. H. Pottmann, J.
Wallner, Q. Huang, and Y.-L. Yang.
Comput. Aided Geom. Design (2008). |
Infinitesimally
flexible meshes and discrete minimal surfaces. J. Wallner and H.
Pottmann
Monatshefte Math., 153/347-365 (2008). |
Laguerre
Minimal Surfaces, Isotropic Geometry and Linear Elasticity H. Pottmann, P.
Grohs and N.J. Mitra
Adv. Comp. Math. |
The focal
geometry of circular and conical meshes. H. Pottmann and J.
Wallner
Adv. Comp. Math (2008). |
Principal
curvatures from the integral invariant viewpoint H. Pottmann, J.
Wallner, Y.-L. Yang, Y.-K. Lai, and S.-M. Hu
Comput. Aided Geom. Design 24 (2007), 428-442. |
Discrete
Surfaces in Isotropic Geometry H. Pottmann, Y.
Liu
The Mathematics of Surfaces XII(2007). |
Geometry
of multi-layer freeform structures for architecture H. Pottmann, Y.
Liu, J. Wallner, A. Bobenko and W. Wang
ACM Trans. Graphics 26/3 (2007), Proc. SIGGRAPH |
Geometric
Modeling in Shape Space Martin Kilian,
Niloy J. Mitra and Helmut Pottmann
ACM Trans. Graphics 26/3 (2007), Proc. SIGGRAPH |
Robust
feature classification and editing. Y.-K. Lai, Q.-Y.
Zhou, S.-M. Hu, J. Wallner and H. Pottmann.
IEEE Trans. Vis. Comp. Graphics. |