Publications
List of Publications 1995-2006: [BibTeX file], [Pdf], [HTML].
List of Publications 1982-1995: [Pdf].
Selected Publications 2013
line
             congrunences

Discrete Line Congruences for Shading and Lighting

J. Wang, C. Jiang, P. Bompas, J. Wallner, and H. Pottmann
Computer Graphics Forum 32/5 (2013), Proc. Symposium Geometry Processing
circular arc snakes

Circular arc snakes and kinematic surface generation

M. Barton, L. Shi, M. Kilian, J. Wallner, and H. Pottmann
Computer Graphics Forum 32 (2013), Proc. Eurographics, to appear.
affine minimal surfaces

Smooth surfaces from bilinear patches: discrete affine minimal surfaces

F. Käferböck and H. Pottmann
Comput. Aided Geom. Design, (2013), to appear.
Selected Publications 2012
webs from circles

Darboux Cyclides and Webs from Circles

H. Pottmann, L. Shi and M. Skopenkov
Comput. Aided Geom. Design, 29: 77-97, 2012
ruled laguerre minimal surfaces

Ruled Laguerre minimal surfaces

M. Skopenkov, H. Pottmann and P. Grohs
Math. Z. 272, 645-674, 2012.
self supporting surfaces

Design of self-supporting surfaces

E. Vouga, M. H÷binger, J. Wallner and H. Pottmann
ACM Trans. Graphics 31 (2012), Proc. SIGGRAPH.
Selected Publications 2011
shape space exploration

Shape Space Exploration of Constrained Meshes

Y.-L. Yang, Y.-J. Yang, H. Pottmann and N. J. Mitra
Proc. SIGGRAPH Asia (2011).
circular arc structures

Circular arc structures

P. Bo, H. Pottmann, M. Kilian, W. Wang and J. Wallner
ACM Trans. Graphics 30 (2011), #101,1-11, Proc. SIGGRAPH.
freeform

Geometric Computing for Freeform Architecture

J. Wallner and H. Pottmann
J. Math. Industry (2011), Vol. 1
Selected Publications 2010
panels

Geodesic Patterns

H. Pottmann, Q. Huang, B. Deng, A. Schiftner, M. Kilian, L. Guibas, J. Wallner
ACM Trans.\ Graphics, Vol. 29, Nr.3, 2010 
panels

Paneling Architectural Freeform Surfaces

Michael Eigensatz, Martin Kilian, Alexander Schiftner, Niloy J. Mitra, Helmut Pottmann, Mark Pauly
SIGGRAPH 2010 

A curvature theory for discrete surfaces based on mesh parallelity.

Alexander I. Bobenko, Helmut Pottmann, and Johannes Wallner
Math. Annalen (2010).
Selected Publications 2009

Geometrische Struktur und Freiformarchitektur

J. Wallner and H. Pottmann
IBDG Vol. 27, Nr. 1, p. 34-38 (2009)
panels

Edge offset meshes in Laguerre geometry.

H. Pottmann, P. Grohs, and B. Blaschitz.
Adv. Comp. Math. (2009).
 
meshes

Integral invariants for robust geometry processing.

H. Pottmann, J. Wallner, Q. Huang, and Y.-L. Yang.
Comput. Aided Geom. Design, 26, 37-60 (2009).
laguerre

Laguerre Minimal Surfaces, Isotropic Geometry and Linear Elasticity

H. Pottmann, P. Grohs and N.J. Mitra
Adv. Comp. Math, 31, 391-419 (2009).
penetration

Generalized Penetration Depth Computationbased on Kinematical Geometry

G. Nawratil, H. Pottmann and B. Ravani
Journal of Computer Aided Geometric Design, 26, 425-443 (2009).
Selected Publications 2008
panels

Geometry of architectural freeform structures.

H. Pottmann, A. Schiftner, and J. Wallner.
Int. Math. Nachr., Nr. 209/2008
panels

Edge offset meshes in Laguerre geometry.

H. Pottmann, P. Grohs, and B. Blaschitz.
Adv. Comp. Math., (2009)
panels

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).
meshes

Discovering Structural Regularity in 3D Geometry.

M. Pauly, N.J. Mitra, J. Wallner, H. Pottmann and L.J Guibas.
ACM Trans. Graphics, 27/3, Proc. SIGGRAPH (2008).
fold

Curved Folding.

M. Kilian, S. Föry, Z. Chen, N. J. Mitra, A. Sheffer and H. Pottmann.
ACM Trans. Graphics, 27/3, Proc. SIGGRAPH (2008).
meshes

Integral invariants for robust geometry processing.

H. Pottmann, J. Wallner, Q. Huang, and Y.-L. Yang.
Comput. Aided Geom. Design, 26, 37-60 (2009), 
meshes

Infinitesimally flexible meshes and discrete minimal surfaces.

J. Wallner and H. Pottmann
Monatshefte Math., 153/347-365 (2008).
laguerre

Laguerre Minimal Surfaces, Isotropic Geometry and Linear Elasticity

H. Pottmann, P. Grohs and N.J. Mitra
Adv. Comp. Math.
motion

Subdivision Schemes for the fair Discretization of the Spherical Motion Group

G. Nawratil and H. Pottmann
Journal of Computational and Applied Mathematics.
robust

The focal geometry of circular and conical meshes.

H. Pottmann and J. Wallner
Adv. Comp. Math (2008).
Selected Publications 2007
buch

Architectural Geometry

H. Pottmann, A. Asperl, M. Hofer and A. Kilian
Bentley Institute Press (2007), 724 pages, 2200 figures in color, ISBN 978-1-934493-04-5.
freeform

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
freeform

Geometric Modeling in Shape Space

Martin Kilian, Niloy J. Mitra and Helmut Pottmann
ACM Trans. Graphics 26/3 (2007), Proc. SIGGRAPH
freeform

Dynamic Geometry Registration

Niloy J. Mitra, Simon Floery, Maks Ovsjanikov, Natasha Gelfand, Leonidas Guibas and Helmut Pottmann
Symposium on Geometry Processing 2007
robust

Robust feature classification and editing.

Y.-K. Lai, Q.-Y. Zhou, S.-M. Hu, J. Wallner and H. Pottmann.
IEEE Trans. Vis. Comp. Graphics
convergence

Geometry and convergence analysis of algorithms for registration of 3D shapes

H. Pottmann, Q.-X. Huang, Y.-L. Yang and S.-M. Hu
Int. J. Computer Vision
conical

Geometric modeling with conical meshes and developable surfaces.

Y. Liu, H. Pottmann, J. Wallner, Y.-L. Yang and W. Wang
In ACM Trans. Graphics Proc. SIGGRAPH
fracture

Reassembling fractured objects by geometric matching.

Q.-X. Huang, S. Flöry, N. Gelfand, M. Hofer and H. Pottmann
ACM Trans. Graphics, Proc. SIGGRAPH 2006.