Industrial Geometry

Journal Articles


1. P. Bo, H. Pottmann, M. Kilian, W. Wang, and J. Wallner. Circular arc structures. ACM Trans. Graphics 30 (2011), #101,1-11, Proc. SIGGRAPH. [doi].
2. M. Skopenkov, H. Pottmann, and P. Grohs. Ruled Laguerre minimal surfaces. Math. Zeitschrift (2011), to appear.
3. O. Ebner and S. Haller. Harmonic cohomology of symplectic fiber bundles. Proc. Amer. Math. Soc. 139 (2011), 2827-2931. [doi].
4. C. Müller. Conformal hexagonal meshes. Geom. Dedicata (2011), to appear. [doi].
5. B. Deng, H. Pottmann, and J. Wallner. Functional webs for freeform architecture. Computer Graphics Forum 30/5 (2011), 1369-1378, Proc. Symp. Geometry Processing. [doi].
6. J. Wallner and H. Pottmann. Geometric computing for freeform architecture. J. Math. Industry 1 (2011), #4,1-19. [doi].
7. A. Bobenko, H. Pottmann, and J. Wallner. A curvature theory for discrete surfaces based on mesh parallelity. Math. Annalen 348 (2010), 1-24. [doi].
8. C. Müller and J. Wallner. Oriented mixed area and discrete minimal surfaces. Discrete Comput. Geom. 43 (2010), 303-320. [doi].
9. H. Pottmann, P. Grohs, and B. Blaschitz. Edge offset meshes in Laguerre geometry. Adv. Comp. Math. 33 (2010), 45-73. [doi].
10. O. Karpenkov. On the flexibility of Kokotsakis meshes. Geom. Dedicata 147 (2010), 15-28. [doi].
11. H. Pottmann, Q. Huang, B. Deng, A. Schiftner, M. Kilian, L. Guibas, and J. Wallner. Geodesic patterns. ACM Trans. Graphics 29/4 (2010), #43,1-10, Proc. SIGGRAPH. [doi].
12. H. Pottmann and J. Wallner. Freiformarchitektur und Mathematik. Mitt. DMV 18/2 (2010), 88-95.
13. H. Pottmann, P. Grohs, and N. J. Mitra. Laguerre minimal surfaces, isotropic geometry and linear elasticity. Adv. Comp. Math. 31 (2009), 391-419.
14. 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].
15. 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].
16. 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].
    
    Articles in Refereed Conferences
    
    
17. J. Wallner, A. Schiftner, M. Kilian, S. Flöry, M. Höbinger, B. Deng, Q. Huang, and H. Pottmann. Tiling freeform shapes with straight panels: Algorithmic methods. In C. Ceccato et al., editors, Advances in Architectural Geometry 2010, pages 73-86. Springer, 2010.
    
    Technical Reports
    
    
18. O. Karpenkov. Necessary flexibility conditions of semidiscrete surfaces. Geometry Preprint 2010/06, TU Graz, April 2010.
19. C. Müller. Discretizations of the hyperbolic cosine. Geometry Preprint 2010/09, TU Graz, November 2010.
20. C. Müller and J. Wallner. Semidiscrete isothermic surfaces. Geometry Preprint 2010/02, TU Graz, February 2010.
21. J. Wallner. On the semidiscrete differential geometry of A-surfaces and K-surfaces. Geometry Preprint 2010/01, TU Graz, February 2010.
    
    Miscellaneous Publications
    
    
22. J. Wallner and H. Pottmann. Geometrische Struktur und Freiformarchitektur. IBDG 27/1 (2009), 34-38.
23. H. Pottmann, A. Schiftner, and J. Wallner. Geometry of architectural freeform structures. Int. Math. Nachr. 209 (2008), 15-28.
24. 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. [doi].
25. J. Wallner. Circular arc structures. In V. Caselles et al., editors, Trends in Mathematical Imaging and Surface Processing, Oberwolfach Reports, pages 41-43. 2011. Abstracts from the workshop held January 30--February 5th, 2011. [doi].