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Professor Helmut Pottmann

Computer, Electrical and Mathematical Science and Engineering Division
King Abdullah University of Science and Technology

Education:
PhD Vienna University of Technology, 1983
MS Vienna University of Technology, 1982

Research Interests:
Applied geometry, classical geometry, discrete differential geometry, computational design and geometry processing with a focus on applications in architecture and manufacturing.

Selected Publications:
Books:
Pottmann, H. and Wallner, J., 2001, Computational Line Geometry, Springer, Heidelberg.
Pottmann, H., Asperl, A., Hofer, M. and Kilian, A., Architectural Geometry, Bentley Institute Press, October 2007, 744 pages
Journal Articles, etc.:
H. Pottmann and J. Wallner. The focal geometry of circular and conical meshes. Advances in Computational Mathematics, 29(August):249–268, 2006
Liu, Y., Pottmann, H., Wallner, J., Yang Y.-L., and Wang, W., 2006, Geometric modeling with conical meshes and developable surfaces, ACM Trans. Graphics 25 (3), 681-689.
H. Pottmann, Y. Liu, J. Wallner, A. Bobenko, and W. Wang. Geometry of multi-layer freeform structures for architecture. ACM Transactions on Graphics, 26(3):65, July 2007
H. Pottmann, A. Schiftner, P. Bo, H. Schmiedhofer, W. Wang, N. Baldassini, and J. Wallner. Freeform surfaces from single curved panels. ACM Transactions on Graphics, 27(3):1, Aug. 2008
Kilian, M. , Flöry, S. , Chen, Z. , Mitra, N. , Sheffer, A. , and Pottmann, H. , 2008, “ Curved Folding,” ACM Trans. Graph., 27(6), pp. 75:1–75:9.
A. Schiftner, M. Höbinger, J. Wallner, and H. Pottmann. Packing circles and spheres on surfaces. ACM Transactions on Graphics (TOG), 28(5):139, 2009.
Bobenko, A., Pottmann, H. and Wallner, J.,2010, A curvature theory for discrete surfaces based on mesh parallelity, Math. Annalen 348, 1-24.
H. Pottmann, P. Grohs, and B. Blachitz. Edge offset meshes in Laguerre geometry. Advances in 
Computational Mathematics, 33:45–73, 2010.
Baldassini N, Pottmann H, Raynaud J, Schiftner A, New strategies and developments in transparent free-form designs, International Journal of Space Structure, 25(3): 185-197, 2010.
J. Wallner and H. Pottmann. Geometric Computing for Freeform Architecture. Journal of Mathematics in Industry, 1(1):4, 2011.
Y.-L. Yang, Y.-J. Yang, H. Pottmann, and N. J. Mitra. Shape Space Exploration of Constrained Meshes. ACM Trans. Graphics, 30:124, 2011.
Vouga E, Höbinger M, Wallner J, Pottmann H. Design of self-supporting 
surfaces. ACM trans. graphics proc. SIGGRAPH; 2012. 

J. Wang, C. Jiang, P. Bompas, J. Wallner, and H. Pottmann. Discrete line congruences for shading and lighting. In Computer Graphics Forum, volume 32, pages 53–62. Wiley Online Library, 2013
Pottmann H (2013) Architectural geometry and fabrication-aware design. Nexus Netw J 15(2):195
C. Tang, X. Sun, A. Gomes, J. Wallner, and H. Pottmann. Form-finding with polyhedral meshes made simple. ACM Trans. Graphics, 33(4), 2014.
H. Pottmann, C. Jiang, M. Höbinger, J. Wang, P. Bompas, and J. Wallner. Cell packing structures. 
Computer-Aided Design, 60:70–83, mar 2015.
Jiang C, Wang J, Wallner J, Pottmann H. Freeform honeycomb structures. Comput Graph Forum 2014;33(5).
H. Pottmann, M. Eigensatz, A. Vaxman, and J. Wallner. Architectural geometry. Computers & 
graphics, 47:145–164, 2015.
Jiang, C., Tang, C., Vaxman, A., Wonka, P., & Pottmann, H., Polyhedral patterns. ACM Transactions on Graphics (TOG), 2015; 34(6), 172.
Kilian, M., Pellis, D., Wallner, J. and Pottmann, H., 2016, Material-minimizing forms and structures, ACM Trans. Graphics 36 (6), article 173.

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