This research is supported by

• the Austrian Science Fund ( FWF ) under grant S92 (National Research Network `Industrial Geometry')
• the DFG-Collaborative Research Center, TRR 109, `Discretization in Geometry and Dynamics' through grant I 706-N26 of the Austrian Science Fund ( FWF ).

Smooth surfaces from bilinear patches: discrete affine minimal surfaces F. Käferböck and H. Pottmann Comput. Aided Geom. Design 30(5): 476-489, 2013

Ruled Laguerre minimal surfaces M. Skopenkov, H. Pottmann and P. Grohs Math. Z. 272, 645-674, 2012

Discretizations of the hyperbolic cosine C. Müller Beitr. Algebra Geometrie (2013)

Semidiscrete isothermic surfaces C. Müller and J. Wallner Results Math. (2013)

Conformal hexagonal meshes 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).

Curved Folding. 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.