APPLIED GEOMETRY | TU WIEN

Projects — Publications

Active third-party funded research projects:

Publications 2024
Surfaces of constant principal-curvatures ratio in isotropic geometry
K. Yorov, M. Skopenkov and H. Pottmann
Contributions to Algebra and Geometry, (2024), to appear.
PDF BibTeX
Designing triangle meshes with controlled roughness
V. Ceballos Inza, P. Fykouras, F. Rist, D. Häseker, M. Hojjat, C. Müller and H. Pottmann
ACM Trans. Graphics 43, 6 (2024), 166:1-20, Proc. SIGGRAPH.
PDF BibTeX
Computational design of asymptotic geodesic hybrid gridshells via propagation algorithms
B. Wang, M. Almaskin and H. Pottmann
Computer-Aided Design, 178, (2025).
PDF BibTeX
Quad Mesh Mechanisms
C. Jiang, D. Lyakhov, F. Rist, H. Pottmann and J. Wallner
ACM Trans. Graphics 43, 6 (2024), 243:1-17, Proc. SIGGRAPH.
PDF BibTeX
Approximation by Meshes with Spherical Faces
A.S. Ramos Cisneros, A. Aikyn, M. Kilian, H. Pottmann, and C. Müller
ACM Trans. Graphics 43, 6 (2024), 179:1-17, Proc. SIGGRAPH.
PDF BibTeX
Shape reconstruction of trapezoidal surfaces from unorganized point clouds
A. Rasoulzadeh, M. Kilian and G. Nawratil
Computer-Aided Design (2024), 113, 24p.
BibTeX DOI
Interactive design of discrete Voss nets and simulation of their rigid foldings
M. Kilian, G. Nawratil, M. Raffaelli, A. Rasoulzadeh, K. Sharifmoghaddam
Computer-Aided Design (2024), 111, 24p.
BibTeX DOI
Publications 2023
Meshes with Spherical Faces
M. Kilian, A.S. Ramos Cisneros, C. Müller and H. Pottmann
ACM Trans. Graphics 42, 6 (2023), 177:1-177:19.
DOI PDF BibTeX
The Geometry of Discrete Asymptotic-Geodesic 4-Webs in Isotropic 3-Space
C. Müller and H. Pottmann
Monatsh. Math. 203, 223-246 (2024).
DOI BibTeX
Discrete orthogonal structures
F. Dellinger, X. Li and H. Wang
Computers & Graphics, vol.114, p.126-137, (2023).
DOI BibTeX
Smooth and Discrete Cone-Nets
M. Kilian C. Müller, and J. Tervooren
Results Maths 78, 110 (2023).
DOI BibTeX
Discrete Isothermic Nets Based on Checkerboard Patterns
F. Dellinger
Discrete Comput. Geom., (2023).
DOI arXiv BibTeX
Curvature-adapted submanifolds of semi-Riemannian groups
M. Camarinha and M. Raffaelli
International Journal of Mathematics, to appear, (2023).
arXiv BibTeX
Differential geometry of space curves: Forgotten chapters
D. Fuchs, I. Izmestiev, M. Raffaelli, G. Szewieczek, and S. Tabachnikov
The Mathematical Intelligencer, to appear, (2023).
arXiv BibTeX
Nonrigidity of flat ribbons
M. Raffaelli
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, to appear, (2023).
arXiv BibTeX
The geometric Cauchy problem for rank-one submanifolds
M. Raffaelli
Communications in Analysis and Geometry, to appear, (2023).
arXiv BibTeX
Publications 2022
Equilibrium stressability of multidimensional frameworks
O. Karpenkov, C. Müller, G. Panina, B. Servatius, H. Servatius, and D. Siersma
Eur. J. Math. 8, 33-61 (2022).
DOI BibTeX
Advanced Computational Design - digitale Methoden für die frühe Entwurfsphase
M. Wimmer, I. Kovacic, P. Ferschin, F. Rist, M. Hensel, K. Schinegger, S. Rutzinger, H. Kaufmann, M. Kilian, C. Müller, I. Izmestiev, G. Nawratil, J. Füssl, M. Stavric, D. Hahn, G. Suter
Bautechnik 99, H. 10, S. 720-730 (2022).
DOI BibTeX
Generalised Bianchi permutability for isothermic surfaces
J. Cho, K. Leschke, and Y. Ogata
Ann. Global Anal. Geom., 61 no.4, p.799-829, (2022).
DOI BibTeX
Infinitesimal Darboux transformation and semi-discrete mKdV equation
J. Cho, W. Rossman, and T. Seno
Nonlinearity, 35 no.4, p.2134-2146, (2022).
DOI BibTeX
Publications 2021
Discrete mKdV equation via Darboux transformation
J. Cho, W. Rossman, and T. Seno
Math. Phys. Anal. Geom., 24 no.3, p.11, (2021).
DOI BibTeX
Using Flexible Trapezoidal Quad-Surfaces for Transformable Design
K. Sharifmoghaddam, G. Nawratil, A. Rasoulzadeh, and J. Tervooren
IASS Annual Symposium and Spatial Structures Conference (Surrey, UK), 12p., (2021).
PDF
Analysis of a reduced-order model for the simulation of elastic geometric zigzag-spring meta-materials
K. Leimer and P. Musialski
Computers & Graphics, (2021), to appear.
arXiv DOI BibTeX
Design and fabrication of multi-patch elastic geodesic grid structures
S. Pillwein, J. Kübert, F. Rist, and P. Musialski
Computers & Graphics 98, (2021), 218-230.
arXiv DOI BibTeX
Generalized Deployable Elastic Geodesic Grids
S. Pillwein and P. Musialski
ACM Trans. Graphics 40, 6 (2021), 271:1-271:15.
arXiv BibTeX
Using isometries for computational design and fabrication
C. Jiang, H. Wang, V. Ceballos Inza, F. Dellinger, F. Rist, J. Wallner, and H. Pottmann
ACM Trans. Graphics 40, 4 (2021), 42:1-42:12, Proc. SIGGRAPH.
PDF BibTeX
Computational design of Weingarten surfaces
D. Pellis, M. Kilian, H. Pottmann, and M. Pauly
ACM Trans. Graphics 40, 4 (2021), 114:1-114:11, Proc. SIGGRAPH.
PDF BibTeX
Geometric criteria for realizability of tensegrities in higher dimensions
O. Karpenkov and C. Müller
SIAM J. Discrete Math. 35-2 (2021), pp. 637-660.
arXiv DOI BibTeX
Discrete Curvature and Torsion from Cross-Ratios
C. Müller and A. Vaxman
Ann. Mat. Pura Appl., 200, 1935-1960 (2021).
DOI arXiv BibTeX
Publications 2020
Reduced-Order Simulation of Flexible Meta-Materials
K. Leimer and P. Musialski
SCF '20: Proceedings of the ACM Symposium on Computational Fabrication (2020), 11p.
arXiv DOI BibTeX
Design and Fabrication of Elastic Geodesic Grid Structures
S. Pillwein, J. Kübert, F. Rist, and P. Musialski
SCF '20: Proceedings of the ACM Symposium on Computational Fabrication (2020), 11p.
arXiv DOI BibTeX
Computational Design of Cold Bent Glass Facades
K. Gavriil, R. Guseinov, J. Perez, D. Pellis, P. Henderson, F. Rist, H. Pottmann, and B. Bickel
ACM Trans. Graphics 39(6) 208:1-208:16, 2020. Proc. SIGGRAPH Asia.
PDF BibTeX
Freeform quad-based kirigami
C. Jiang, F. Rist, H. Pottmann, and J. Wallner
ACM Trans. Graphics 39, 6 (2020), Proc. SIGGRAPH Asia.
PDF BibTeX
Architectural freeform surfaces designed for cost-effective paneling through mold re-use
D. Pellis, M. Kilian, H. Wang, C. Jiang, C. Müller, and H. Pottmann
Advances in Architectural Geometry 2020.
PDF BibTeX
Pose to Seat: Automated design of body-supporting surfaces
K. Leimer, A. Winkler, S. Ohrhallinger, and P. Musialski
Computer Aided Geometric Design, (2020).
arXiv DOI BibTeX
On Elastic Geodesic Grids and Their Planar to Spatial Deployment
S. Pillwein, K. Leimer, M. Birsak and P. Musialski
ACM Trans. Graphics 39, 4 (2020), 1-12, Proc. SIGGRAPH.
arXiv BibTeX
Quad-mesh based isometric mappings and developable surfaces
C. Jiang, C. Wang, F. Rist, J. Wallner and H. Pottmann
ACM Trans. Graphics, 39(4), 2020, Proc. SIGGRAPH.
PDF BibTeX
Principal Symmetric Meshes
D. Pellis, H. Wang, M. Kilian, F. Rist, H. Pottmann, and C. Müller
ACM Trans. Graphics 39, 4 (2020), 127:1-127:17, Proc. SIGGRAPH.
PDF BibTeX
Simulation of Flexible Patterns by Structural Simplification
K. Leimer and P. Musialski
ACM SIGGRAPH 2020 Posters (2020), 39(2).
DOI BibTeX
Discretizations of surfaces with constant ratio of principal curvatures
M.R. Jimenez, C. Müller and H. Pottmann
Discrete Comput. Geom. 63(3), (2020), 670-704.
PDF DOI BibTeX
Multi-nets: Classification of discrete and smooth surfaces with characteristic properties on arbitrary parameter rectangles
A.I. Bobenko, H. Pottmann, and T. Rörig
Discrete Comput. Geom. 63, (2020), 624-655.
PDF BibTeX
Smooth polyhedral surfaces
F. Günther, C. Jiang, and H. Pottmann
Advances in Mathematics, 363, (2020).
arXiv BibTeX
Publications 2019
Curve-pleated Structures
C. Jiang, K. Mundilova, F. Rist, J. Wallner, and H. Pottmann
ACM Trans. Graphics 38,6 (Proc. SIGGRAPH ASIA), 2019.
PDF BibTeX
Discrete Geodesic Parallel Coordinates
H. Wang, D. Pellis, F. Rist, H. Pottmann, and C. Müller
ACM Trans. Graphics 38,6 (2019), 173:1-173:13, Proc. SIGGRAPH ASIA.
PDF BibTeX
Visual Smoothness of Polyhedral Surfaces
D. Pellis, M. Kilian, F. Dellinger, J. Wallner and H. Pottmann
ACM Trans. Graphics (Proc. SIGGRAPH), 2019.
PDF BibTeX
Optimizing B-spline surfaces for developability and paneling architectural freeform surfaces
K. Gavriil, A. Schiftner and H. Pottmann
Computer-Aided Design (2019), 111, 29-43.
PDF BibTeX DOI
Void Filling of Digital Elevation Models with Deep Generative Models
K. Gavriil, G. Muntingh and O.J.D. Barrowclough
to appear in IEEE Geoscience and Remote Sensing Letters, (2019).
arXiv BibTeX
Publications 2018
Sit & Relax: Interactive Design of Body-Supporting Surfaces
K. Leimer, M. Birsak, F. Rist and P. Musialski
Computer Graphics Forum, 37(7):349-359, 2018.
Best Paper Honorable Mention
PDF BibTeX project page
Canonical Möbius Subdivision
A. Vaxman, C. Müller and O. Weber
ACM Trans. Graphics (Proc. SIGGRAPH ASIA), 37(6), 227:1-227:15, 2018.
PDF BibTeX
Folding the Vesica Piscis
K. Mundilova and T. Wills
In Eve Torrence et al., editors, Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture, (2018), 535-538.
PDF BibTeX
Aligning principal stress and curvature directions
D. Pellis and H. Pottmann
In L. Hesselgren et al., editors, Advances in Architectural Geometry 2018, pages 34-53, 2018.
PDF BibTeX
Design and Construction of Curved Support Structures with Repetitive Parameters
E. Schling, M. Kilian, H. Wang, J. Schikore, H. Pottmann
In L. Hesselgren et al., editors, Advances in Architectural Geometry 2018, pages 140-165, 2018.
PDF BibTeX
Designing patterns using triangle-quad hybrid meshes
C-h. Peng, H. Pottmann, P. Wonka
ACM Trans. Graphics (Proc. SIGGRAPH), 37(4), 2018.
PDF BibTeX
Cissoid constructions of augmented rational ruled surfaces
J.R. Sendra, M. Peternell and J. Sendra
Comput. Aided Geom. Design (2018), 60, 1-9.
BibTeX DOI
String Art: Towards Computational Fabrication of String Images
M. Birsak, F. Rist, P. Wonka and P. Musialski
Computer Graphics Forum (Proc. EUROGRAPHICS), 37(2), 2018.
PDF BibTeX project page
Publications 2017
Relation-Based Parametrization and Exploration of Shape Collections
K. Leimer, L. Gersthofer, M. Wimmer and P. Musialski
Computers & Graphics, 67:127-137, 2017.
PDF BibTeX project page
Path Exploration on Mobile Devices
M. Birsak, P. Musialski, P. Wonka and M. Wimmer
IEEE Transactions on Visualization and Computer Graphics, PP(99):1-15, 2017.
PDF BibTeX project page
Material-minimizing forms and structures
M. Kilian, D. Pellis, J. Wallner and H. Pottmann
ACM Trans. Graphics (Proc. SIGGRAPH Asia), 36(6), 2017.
PDF BibTeX
Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining
P. Bo, M. Barton, and H. Pottmann
Computer Aided Design, (2017), 91, 84-94.
PDF BibTeX
Regular Meshes from Polygonal Patterns
A. Vaxman, C. Müller and O. Weber
ACM Trans. Graphics (Proc. SIGGRAPH), 36(4), 2017.
PDF BibTeX
Semi-Discrete Constant Mean Curvature Surfaces of Revolution in Minkowski Space
C. Müller and M. Yasumoto
Geometry, integrability and quantization XVIII, 191-202, Bulgar. Acad. Sci., Sofia, (2017).
BibTeX DOI
String actuated curved folded surfaces
M. Kilian, A. Monszpart and N. J. Mitra
ACM TOG, 36(3) Article 25 (2017).
project page
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.
PDF BibTeX
Geometry and freeform architecture
H. Pottmann and J. Wallner
In W. König, editor, Mathematics and Society, pages 131-151. EMS 2016.
PDF BibTeX DOI
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.
PDF BibTeX
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.
PDF BibTeX
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.
PDF BibTeX
Interactive design of developable surfaces
C. Tang, P. Bo, J. Wallner and H. Pottmann
ACM Trans. Graphics, 35(2), 2016, #12,1-12.
PDF BibTeX
Semi-discrete isothermic surfaces
F. Burstall, U. Hertrich-Jeromin, C. Müller and W. Rossman
Geom. Dedicata, 183 (2016), no. 1, 43-58.
arXiv BibTeX DOI
Planar discrete isothermic nets of conical type
C. Müller
Beitr. Algebra Geom. 57 (2016), no. 2, 459-482.
PDF BibTeX DOI
Publications 2015
Polyhedral Patterns
C. Jiang, C. Tang, A. Vaxman, P. Wonka and H. Pottmann
ACM Trans. Graphics (Proc. SIGGRAPH Asia), 34(6), 2015.
PDF BibTeX
Conformal Mesh Deformations with Möbius Transformations
A. Vaxman, C. Müller and O. Weber
ACM Trans. Graphics (Proc. SIGGRAPH), 34(4), 2015.
Best Paper Award 2015 (Fac of Math and Geoinf — TU Wien)
PDF BibTeX
Integrable PolyVector Fields
O. Diamanti, A. Vaxman, D. Panozzo, and O. Sorkine-Hornung
ACM Trans. Graphics (Proc. SIGGRAPH), 34(4), 2015.
Project Page
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.
PDF BibTeX DOI
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.
PDF BibTeX
Cell packing structures.
H. Pottmann, C. Jiang, M. Höbinger, J. Wang, P. Bompas and J. Wallner
Computer-Aided Design (2015), 60, 70-83.
PDF BibTeX DOI
Architectural Geometry
H. Pottmann, M. Eigensatz, A. Vaxman and J. Wallner
Computers and Graphics (2015), vol. 47, 145-164.
PDF BibTeX DOI
Semi-discrete Constant Mean Curvature Surfaces
C. Müller
Math. Z., 279 (2015), no. 1-2, 459-478.
PDF BibTeX DOI


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.
PDF BibTeX
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.
PDF BibTeX DOI
On Discrete Constant Mean Curvature Surfaces
C. Müller
Discrete Comput. Geom., 51 (2014), no. 3, 516-538.
PDF BibTeX DOI
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.
PDF BibTeX
Smooth surfaces from rational bilinear patches
L. Shi, J. Wang and H. Pottmann
Comput. Aided Geom. Design (2014), 31(1), 1-12.
PDF BibTeX DOI
Affine arc length polylines and curvature continuous uniform B-splines
F. Käferböck
Comput. Aided Geom. Design 31 (2014), no. 7-8, 331-344.
PDF BibTeX DOI
Detection and reconstruction of freeform sweeps.
M. Barton, H. Pottmann and J. Wallner
Computer Graphics Forum 33/2 (2014), Proc. Eurographics.
PDF BibTeX DOI
Publications 2005 — 2013
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