APPLIED GEOMETRY | TU WIEN

Research areas — Projects — Publications

Head of research unit Applied Geometry

Computational Fabrication
Computational Design • Shape Optimization • Exploration of Shape Collections • Fabrication-Aware Shape Modeling • Shape Modeling for Personal Fabrication
Geometry Education
Computational Line and Sphere Geometry • Geometric Modeling • Teacher Training
Discrete Differential Geometry and Applications
Semi-Discrete Surfaces • Discrete Isothermic / Minimal / CMC Surfaces • Computational Geometry • Hexagonal Meshes • Geometry Processing • Conformal Mesh Deformations
Geometry Processing and Shape  Optimization
shape_space
Geometriy Processing • Differential Geometry • Computational Design • Architectural Geometry

Active third-party funded research projects:


Publications 2017
Regular Meshes from Polygonal Patterns
A. Vaxman, C. Müller and O. Weber
ACM Trans. Graphics (Proc. SIGGRAPH), 36(4), 2017.
String actuated curved folded surfaces
M. Kilian, A. Monszpart and N. J. Mitra
ACM TOG, 26(3) Article 25 (2017).
Smooth polyhedral surfaces
F. Günther, C. Jiang, and H. Pottmann
ArXiv e-prints, 1703.05318 (2017).
Publications 2016
Vertex normals and face curvatures of triangle meshes
X. Sun, C. Jiang, J. Wallner and H. Pottmann
In A. Bobenko, editor, Advances in Discrete Differential Geometry, pages 267-286, Springer 2016.
Geometry and freeform architecture
H. Pottmann and J. Wallner
In W. König, editor, Mathematics and Society, pages 131-151. EMS 2016.
Measuring and controlling fairness of triangulations
C. Jiang, F. Günther, J. Wallner and H. Pottmann
In S. Adriaenssens et al., editors, Advances in Architectural Geometry 2016, pages 24-39. VDF Hochschulverlag, ETH Zürich, 2016.
Analysis and design of curved support structures
C. Tang, M. Kilian, P. Bo, J. Wallner and H. Pottmann
In S. Adriaenssens et al., editors, Advances in Architectural Geometry 2016, pages 8-23. VDF Hochschulverlag, ETH Zürich, 2016.
Towards efficient 5-axis flank CNC machining of free-form surfaces via fitting envelopes of surfaces of revolution
Pengbo Bo, Michael Bartoň, Denys Plakhotnik and Helmut Pottmann
Computer Aided Design (2016), 79, 1-11.
Interactive design of developable surfaces
C. Tang, P. Bo, J. Wallner and H. Pottmann
ACM Trans. Graphics, 35(2), 2016, #12,1-12.
Semi-discrete isothermic surfaces
F. Burstall, U. Hertrich-Jeromin, C. Müller and W. Rossman
Geom. Dedicata, 183 (2016), no. 1, 43-58.
Planar discrete isothermic nets of conical type
C. Müller
Beitr. Algebra Geom. 57 (2016), no. 2, 459-482.
Publications 2015
Polyhedral Patterns
C. Jiang, C. Tang, A. Vaxman, P. Wonka and H. Pottmann
ACM Trans. Graphics (Proc. SIGGRAPH Asia), 34(6), 2015.
Conformal Mesh Deformations with Möbius Transformations
A. Vaxman, C. Müller and O. Weber
ACM Trans. Graphics (Proc. SIGGRAPH), 34(4), 2015.
Integrable PolyVector Fields
O. Diamanti, A. Vaxman, D. Panozzo, and O. Sorkine-Hornung
ACM Trans. Graphics (Proc. SIGGRAPH), 34(4), 2015.
Single breath-hold 3D measurement of left atrial volume using compressed sensing CMR and a non-model-based reconstruction approach
O. Vardoulis, P. Monney, D. Piccini, A. Bermano, A. Vaxman, C. Gotsman, J. Schwitter, M. Stuber, N. Stergiopulos and J. Schwitter
Journal of Cardiovascular Magnetic Resonance, 17(1), 2015.
Offsets, conchoids and pedal surfaces
M. Peternell, L. Gotthart, J. Sendra and J.R. Sendra
J. Geom. 106 (2015), 321-339.
Precise Gouging-free Tool Orientations for 5-Axis CNC Machining
Y.-J. Kim, G. Elber, M. Bartoň and H. Pottmann
Computer-Aided Design (2015), 15, 220-229.
Cell packing structures.
H. Pottmann, C. Jiang, M. Höbinger, J. Wang, P. Bompas and J. Wallner
Computer-Aided Design (2015), 60, 70-83.
Architectural Geometry
H. Pottmann, M. Eigensatz, A. Vaxman and J. Wallner
Computers and Graphics (2015), vol. 47, 145-164.
Semi-discrete Constant Mean Curvature Surfaces
C. Müller
Math. Z., 279 (2015), no. 1-2, 459-478.


Publications 2014
A Projective Framework for Polyhedral Mesh Modeling
A. Vaxman
Computer Graphics Forum, 33(8), 2014.
Interactive Modeling of Architectural Freeform Structures - Combining Geometry with Fabrication and Statics
C. Jiang, C. Tang, M. Tomičić, J. Wallner and H. Pottmann
AAG 2014.
Form-finding with Polyhedral Meshes Made Simple.
C. Tang, X. Sun, A. Gomes, J. Wallner, and H. Pottmann
ACM Trans. Graphics 33/4 (2014), Proc. SIGGRAPH.
On Discrete Constant Mean Curvature Surfaces
C. Müller
Discrete Comput. Geom., 51 (2014), no. 3, 516-538.
Designing N-PolyVector Fields with Complex Polynomials
O. Diamanti, A. Vaxman, D. Panozzo and O. Sorkine-Hornung
Computer Graphics Forum 33/5, (2014), Proc. Symp. Geom. Processing.
Freeform Honeycomb Structures
C. Jiang, J. Wang, J. Wallner and H. Pottmann
Computer Graphics Forum 33/5 (2014), Proc. Symp. Geom. Processing.
Smooth surfaces from rational bilinear patches
L. Shi, J. Wang and H. Pottmann
Comput. Aided Geom. Design (2014), 31(1), 1-12.
Affine arc length polylines and curvature continuous uniform B-splines
F. Käferböck
Comput. Aided Geom. Design 31 (2014), no. 7-8, 331-344.
Detection and reconstruction of freeform sweeps.
M. Barton, H. Pottmann and J. Wallner
Computer Graphics Forum 33/2 (2014), Proc. Eurographics.
Publications 2005 — 2013
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