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Since January 2007, I am a professor of Geometry at TU Graz. Before
that time I was with TU Wien, where I also got my Ph.D. Since October 2009
I am again affiliated with TU Wien, as a part time professor at the
geometric modeling and industrial geometry group.
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Research interests
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| Visual Computing grant (FFG) |
[active]
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| FWF grant No. P19780 | [active]
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| FWF grant No. P18575 |
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| FWF grant No. S9209 | [active]
| | Geometries and their Groups
| | Kinematics and Configuration spaces
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| FWF grant No. P15911
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| FWF grant No. P13938
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| FWF grant No. P12252
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| FWF grant No. P13648
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| Publications
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for a complete list, click here
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| Book |
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H. Pottmann and J. Wallner.
Computational Line Geometry.
Mathematics + Visualization. Springer, Heidelberg, 2001, 2nd printing
2010.
ISBN 3-540-42058-4 / 978-3-642-04017-7.
[Zbl], [MR].
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| Recent manuscripts |
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C. Müller and J. Wallner.
Semidiscrete
isothermic surfaces.
Geometry Preprint 2010/02, TU Graz, February 2010.
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J. Wallner.
On the semidiscrete
differential geometry of A-surfaces and K-surfaces.
Geometry Preprint 2010/01, TU Graz, February 2010.
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P. Grohs and J. Wallner.
Definability and
stability of multiscale decompositions for manifold-valued data.
Geometry Preprint 2009/06, TU Graz, November 2009.
[arxiv:1001.1517].
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A. Bobenko, H. Pottmann, and J. Wallner.
A curvature theory
for discrete surfaces based on mesh parallelity.
Math. Annalen (2010), to appear.
[doi], [arxiv:0901.4620].
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J. Wallner, E. Nava Yazdani, and A. Weinmann.
Convergence and
smoothness analysis of subdivision rules in Riemannian and symmetric
spaces.
Adv. Comp. Math (2010), to appear.
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| Publications 2010 |
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| Publications 2009 |
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P. Grohs and J. Wallner.
Interpolatory
wavelets for manifold-valued data.
Appl. Comput. Harmon. Anal. 27 (2009), 325-333.
[Zbl], [doi].
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H. Pottmann, J. Wallner, Q. Huang, and Y.-L. Yang.
Integral invariants
for robust geometry processing.
Comput. Aided Geom. Design 26 (2009), 37-60.
[MR], [doi].
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A. Schiftner, M. Höbinger, J. Wallner, and H. Pottmann.
Packing circles
and spheres on surfaces.
ACM Trans. Graphics 28/5 (2009), #139,1-8, Proc. SIGGRAPH
Asia.
[doi].
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R. Tichy and J. Wallner.
Johannes
Frischauf - eine schillernde Persönlichkeit in Mathematik und
Alpinismus.
Int. Math. Nachr. 210 (2009), 21-32.
[Zbl].
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J. Wallner.
Semidiscrete surface representations.
In A. Bobenko et al., editors, Discrete Differential Geometry,
Oberwolfach Reports. 2009.
Abstracts from the workshop held January 12--17, 2009.
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J. Wallner and H. Pottmann.
Geometrische
Struktur und Freiformarchitektur.
IBDG 27/1 (2009), 34-38.
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| Publications 2008 |
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P. Grohs and J. Wallner.
Log-exponential
analogues of univariate subdivision schemes in Lie groups and their
smoothness properties.
In M. Neamtu and L. L. Schumaker, editors, Approximation Theory XII: San
Antonio 2007, pages 181-190. Nashboro Press, 2008, ISBN
978-0-9728482-9-9.
[Zbl].
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M. Pauly, N. J. Mitra, J. Wallner, H. Pottmann, and L. Guibas.
Discovering
structural regularity in 3D geometry.
ACM Trans. Graphics 27/3 (2008), #43,1-11, Proc. SIGGRAPH.
[doi].
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H. Pottmann, A. Schiftner, and J. Wallner.
Geometry of
architectural freeform structures.
Int. Math. Nachr. 209 (2008), 15-28.
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H. Pottmann and J. Wallner.
The focal geometry
of circular and conical meshes.
Adv. Comp. Math 29 (2008), 249-268.
[Zbl], [MR], [doi].
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H. Pottmann, A. Schiftner, P. Bo, H. Schmiedhofer, W. Wang, N. Baldassini, and
J. Wallner.
Freeform surfaces
from single curved panels.
ACM Trans. Graphics 27/3 (2008), #76,1-10, Proc. SIGGRAPH.
[doi].
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J. Wallner and H. Pottmann.
Infinitesimally
flexible meshes and discrete minimal surfaces.
Monatshefte Math. 153/347-365 (2008).
[Zbl], [MR], [doi].
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| Publications 2007 |
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F. Aurenhammer, J. Wallner, M. Peternell, and H. Pottmann.
Voronoi
diagrams for oriented spheres.
In C. Gold, editor, Proc. ISVD'07: 4th Int. Conf. Voronoi Diagrams in
Science and Engineering, pages 33-37. IEEE Computer Society, 2007, ISBN
0-7695-2869-4.
[doi].
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Y.-K. Lai, Q.-Y. Zhou, S.-M. Hu, J. Wallner, and H. Pottmann.
Robust feature
classification and editing.
IEEE Trans. Vis. Comp. Graphics 13/1 (2007), 34-45.
[doi].
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H. Pottmann, S. Brell-Cokcan, and J. Wallner.
Discrete surfaces
for architectural design.
In P. Chenin, T. Lyche, and L. L. Schumaker, editors, Curves and Surface
Design: Avignon 2006, pages 213-234. Nashboro Press, 2007, ISBN
978-0-9728482-7-5.
[Zbl], [MR].
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H. Pottmann, Y. Liu, J. Wallner, A. Bobenko, and W. Wang.
Geometry of
multi-layer freeform structures for architecture.
ACM Trans. Graphics 26/3 (2007), #65,1-11, Proc. SIGGRAPH.
[doi].
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J. Wallner, H. Pottmann, and M. Hofer.
Fair webs.
The Visual Computer 23/1 (2007), 83-94.
[doi].
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J. Wallner, E. Nava Yazdani, and P. Grohs.
Smoothness
properties of Lie group subdivision schemes.
Multiscale Modeling and Simulation 6 (2007), 493-505.
[MR].
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J. Wallner.
Note on curve and
surface energies.
Comput. Aided Geom. Des 24 (2007), 494-498.
[MR], [doi].
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H. Pottmann, J. Wallner, Y.-L. Yang, Y.-K. Lai, and S.-M. Hu.
Principal
curvatures from the integral invariant viewpoint.
Comput. Aided Geom. Design 24 (2007), 428-442.
[MR], [doi].
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W. Wang, J. Wallner, and Y. Liu.
An angle criterion
for conical mesh vertices.
J. Geometry Graphics 11 (2007), 199-208.
[Zbl], [MR].
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Teaching
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| Summer Term 2010 |
Constructive Geometry (Lehramt) |
| Differential Geometry |
| Geometry (f. CS) |
| Winter Term 2009/10 (TU Graz) |
Descriptive Geometry (Lehramt + Bauing., with
M. Scheiber, U. Lenz) |
| Computational Geometry Seminar
(with O. Aichholzer) |
| Elementary Differential Geometry
| | Discrete Differential Geometry
| | Winter Term 2009/10 (TU Wien) |
Computational Differential Geometry |
| Summer Term 2009 |
Constructive Geometry (Lehramt) |
| Higher Geometry Seminar |
| Geometric Optimization |
| Geometry (f. CS) |
| Winter Term 2008/09 |
Descriptive Geometry (Lehramt + Bauing., with
M. Scheiber, U. Lenz) |
| Computational Geometry Seminar
(with O. Aichholzer) |
| Algebraic Topology
(with O. Karpenkov) |
| various seminars |
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