Helmut Pottmann

Florian Käferböck, Helmut Pottmann: Smooth surfaces from bilinear patches: Discrete affine minimal surfaces. Computer Aided Geometric Design 30(5): 476-489 (2013)

Helmut Pottmann, Ling Shi, Mikhail Skopenkov: Darboux cyclides and webs from circles. Computer Aided Geometric Design 29(1): 77-97 (2012)

Etienne Vouga, Mathias Höbinger, Johannes Wallner, Helmut Pottmann: Design of self-supporting surfaces. ACM Trans. Graph. 31(4): 87 (2012)

Bailin Deng, Helmut Pottmann, Johannes Wallner: Functional webs for freeform architecture. Comput. Graph. Forum 30(5): 1369-1378 (2011)

Pengbo Bo, Helmut Pottmann, Martin Kilian, Wenping Wang, Johannes Wallner: Circular arc structures. ACM Trans. Graph. 30(4): 101 (2011)

Yong-Liang Yang, Yi-Jun Yang, Helmut Pottmann, Niloy J. Mitra: Shape space exploration of constrained meshes. ACM Trans. Graph. 30(6): 124 (2011)

Helmut Pottmann, Andreas Asperl, Michael Hofer, Axel Kilian: Architekturgeometrie. Springer 2010, isbn 978-3-211-99765-9, pp. I-IV, 1-474

Helmut Pottmann, Philipp Grohs, Bernhard Blaschitz: Edge offset meshes in Laguerre geometry. Adv. Comput. Math. 33(1): 45-73 (2010)

Michael Eigensatz, Martin Kilian, Alexander Schiftner, Niloy J. Mitra, Helmut Pottmann, Mark Pauly: Paneling architectural freeform surfaces. ACM Trans. Graph. 29(4) (2010)

Helmut Pottmann, Qi-Xing Huang, Bailin Deng, Alexander Schiftner, Martin Kilian, Leonidas J. Guibas, Johannes Wallner: Geodesic patterns. ACM Trans. Graph. 29(4) (2010)

Helmut Pottmann: Discrete geometric structures for architecture. Symposium on Computational Geometry 2010: 38

Helmut Pottmann, Philipp Grohs, Niloy J. Mitra: Laguerre minimal surfaces, isotropic geometry and linear elasticity. Adv. Comput. Math. 31(4): 391-419 (2009)

Helmut Pottmann, Johannes Wallner, Qi-Xing Huang, Yong-Liang Yang: Integral invariants for robust geometry processing. Computer Aided Geometric Design 26(1): 37-60 (2009)

Georg Nawratil, Helmut Pottmann, Bahram Ravani: Generalized penetration depth computation based on kinematical geometry. Computer Aided Geometric Design 26(4): 425-443 (2009)

Alexander Schiftner, Mathias Höbinger, Johannes Wallner, Helmut Pottmann: Packing circles and spheres on surfaces. ACM Trans. Graph. 28(5) (2009)

Helmut Pottmann, Johannes Wallner: The focal geometry of circular and conical meshes. Adv. Comput. Math. 29(3): 249-268 (2008)

Martin Kilian, Simon Flöry, Zhonggui Chen, Niloy J. Mitra, Alla Sheffer, Helmut Pottmann: Curved folding. ACM Trans. Graph. 27(3) (2008)

Mark Pauly, Niloy J. Mitra, Johannes Wallner, Helmut Pottmann, Leonidas J. Guibas: Discovering structural regularity in 3D geometry. ACM Trans. Graph. 27(3) (2008)

Helmut Pottmann, Alexander Schiftner, Pengbo Bo, Heinz Schmiedhofer, Wenping Wang, Niccolo Baldassini, Johannes Wallner: Freeform surfaces from single curved panels. ACM Trans. Graph. 27(3) (2008)

Helmut Pottmann: Geometry of architectural freeform structures. Symposium on Solid and Physical Modeling 2008: 9

Helmut Pottmann, Johannes Wallner, Yong-Liang Yang, Yu-Kun Lai, Shi-Min Hu: Principal curvatures from the integral invariant viewpoint. Computer Aided Geometric Design 24(8-9): 428-442 (2007)

Bert Jüttler, Helmut Pottmann, Otmar Scherzer: Variational and PDE level set methods. Computing 81(2-3): 107-108 (2007)

Martin Kilian, Niloy J. Mitra, Helmut Pottmann: Geometric modeling in shape space. ACM Trans. Graph. 26(3): 64 (2007)

Helmut Pottmann, Yang Liu, Johannes Wallner, Alexander I. Bobenko, Wenping Wang: Geometry of multi-layer freeform structures for architecture. ACM Trans. Graph. 26(3): 65 (2007)

Yu-Kun Lai, Qian-Yi Zhou, Shi-Min Hu, Johannes Wallner, Helmut Pottmann: Robust Feature Classification and Editing. IEEE Trans. Vis. Comput. Graph. 13(1): 34-45 (2007)

Johannes Wallner, Helmut Pottmann, Michael Hofer: Fair webs. The Visual Computer 23(1): 83-94 (2007)

Helmut Pottmann, Yang Liu: Discrete Surfaces in Isotropic Geometry. IMA Conference on the Mathematics of Surfaces 2007: 341-363

Franz Aurenhammer, Johannes Wallner, Martin Peternell, Helmut Pottmann: Voronoi Diagrams for Oriented Spheres. ISVD 2007: 33-37

Helmut Pottmann: Geometric Computing in Shape Space. Pacific Conference on Computer Graphics and Applications 2007: 4

Niloy J. Mitra, Simon Flöry, Maks Ovsjanikov, Natasha Gelfand, Leonidas J. Guibas, Helmut Pottmann: Dynamic geometry registration. Symposium on Geometry Processing 2007: 173-182

Yang Liu, Helmut Pottmann, Wenping Wang: Constrained 3D shape reconstruction using a combination of surface fitting and registration. Computer-Aided Design 38(6): 572-583 (2006)

Yu-Kun Lai, Shi-Min Hu, Helmut Pottmann: Surface fitting based on a feature sensitive parametrization. Computer-Aided Design 38(7): 800-807 (2006)

Helmut Pottmann, Qi-Xing Huang, Yong-Liang Yang, Shi-Min Hu: Geometry and Convergence Analysis of Algorithms for Registration of 3D Shapes. International Journal of Computer Vision 67(3): 277-296 (2006)

Wenping Wang, Helmut Pottmann, Yang Liu: Fitting B-spline curves to point clouds by curvature-based squared distance minimization. ACM Trans. Graph. 25(2): 214-238 (2006)

Johannes Wallner, Helmut Pottmann: Intrinsic subdivision with smooth limits for graphics and animation. ACM Trans. Graph. 25(2): 356-374 (2006)

Qi-Xing Huang, Simon Flöry, Natasha Gelfand, Michael Hofer, Helmut Pottmann: Reassembling fractured objects by geometric matching. ACM Trans. Graph. 25(3): 569-578 (2006)

Yang Liu, Helmut Pottmann, Johannes Wallner, Yong-Liang Yang, Wenping Wang: Geometric modeling with conical meshes and developable surfaces. ACM Trans. Graph. 25(3): 681-689 (2006)

Yong-Liang Yang, Yu-Kun Lai, Shi-Min Hu, Helmut Pottmann: Robust principal curvatures on multiple scales. Symposium on Geometry Processing 2006: 223-226

Shi-Min Hu, Helmut Pottmann: Special section on geometric modeling and processing. Computer-Aided Design 37(5): 471 (2005)

Helmut Pottmann, Stefan Leopoldseder, Michael Hofer, Tibor Steiner, Wenping Wang: Industrial geometry: recent advances and applications in CAD. Computer-Aided Design 37(7): 751-766 (2005)

Helmut Pottmann, Michael Hofer: A variational approach to spline curves on surfaces. Computer Aided Geometric Design 22(7): 693-709 (2005)

Michael Hofer, Boris Odehnal, Helmut Pottmann, Tibor Steiner, Johannes Wallner: 3D Shape Recognition and Reconstruction Based on Line Element Geometry. ICCV 2005: 1532-1538

Natasha Gelfand, Niloy J. Mitra, Leonidas J. Guibas, Helmut Pottmann: Robust Global Registration. Symposium on Geometry Processing 2005: 197-206

Mathieu Desbrun, Helmut Pottmann (Eds.): Third Eurographics Symposium on Geometry Processing, Vienna, Austria, July 4-6, 2005. ACM International Conference Proceeding Series 255, Eurographics Association 2005, isbn 3-905673-24-X

Helmut Pottmann: Editorial to: Industrial Geometry. Computer-Aided Design 36(4): 297-298 (2004)

Shi-Min Hu, Helmut Pottmann: Special issue on geometric modeling and processing. Computer Aided Geometric Design 21: 725-726 (2004)

Helmut Pottmann, Stefan Leopoldseder, Michael Hofer: Registration without ICP. Computer Vision and Image Understanding 95(1): 54-71 (2004)

Michael Hofer, Helmut Pottmann: Energy-minimizing splines in manifolds. ACM Trans. Graph. 23(3): 284-293 (2004)

Michael Hofer, Helmut Pottmann, Bahram Ravani: From curve design algorithms to the design of rigid body motions. The Visual Computer 20(5): 279-297 (2004)

Helmut Pottmann, Michael Hofer, Boris Odehnal, Johannes Wallner: Line Geometry for 3D Shape Understanding and Reconstruction. ECCV (1) 2004: 297-309

Helmut Pottmann, Tibor Steiner, Michael Hofer, Christoph Haider, Allan Hanbury: The Isophotic Metric and Its Application to Feature Sensitive Morphology on Surfaces. ECCV (4) 2004: 560-572

Niloy J. Mitra, Natasha Gelfand, Helmut Pottmann, Leonidas J. Guibas: Registration of Point Cloud Data from a Geometric Optimization Perspective. Symposium on Geometry Processing 2004: 22-31

Joung-Hahn Yoon, Helmut Pottmann, Yuan-Shin Lee: Locally optimal cutting positions for 5-axis sculptured surface machining. Computer-Aided Design 35(1): 69-81 (2003)

Helmut Pottmann, Stefan Leopoldseder: A concept for parametric surface fitting which avoids the parametrization problem. Computer Aided Geometric Design 20(6): 343-362 (2003)

Heidrun Mühlthaler, Helmut Pottmann: Computing the Minkowski sum of ruled surfaces. Graphical Models 65(6): 369-384 (2003)

Johannes Ruisz, Dieter Hönigmann, Helmut Pottmann: Segmentation and Modeling of Approximately Rotationally Symmetric Objects in 3D Ultrasound. 3DIM 2003: 124-131

Tait S. Smith, Rida T. Farouki, Mohammad al-Kandari, Helmut Pottmann: Optimal slicing of free-form surfaces. Computer Aided Geometric Design 19(1): 43-64 (2002)

Rida T. Farouki, Helmut Pottmann: Exact Minkowski Products of N Complex Disks. Reliable Computing 8(1): 43-66 (2002)

Dieter Hönigmann, Johannes Ruisz, Helmut Pottmann: Fast model based segmentation of ultrasound data using an active image. ISBI 2002: 225-228

Helmut Pottmann, Stefan Leopoldseder, Michael Hofer: Approximation with Active B-Spline Curves and Surfaces. Pacific Conference on Computer Graphics and Applications 2002: 8-25

Johannes Wallner, Takis Sakkalis, Takashi Maekawa, Helmut Pottmann, Guoxin Yu: Self-Intersections of Offset Curves and Surfaces. International Journal of Shape Modeling 7(1): 1-22 (2001)

Johannes Wallner, Rimvydas Krasauskas, Helmut Pottmann: Error propagation in geometric constructions. Computer-Aided Design 32(11): 631-641 (2000)

Martin Bertram, James C. Barnes, Bernd Hamann, Kenneth I. Joy, Helmut Pottmann, Dilinur Wushour: Piecewise optimal triangulation for the approximation of scattered data in the plane. Computer Aided Geometric Design 17(8): 767-787 (2000)

Helmut Pottmann, Boris Odehnal, Martin Peternell, Johannes Wallner, R. Ait Haddou: On Optimal Tolerancing in Computer-Aided Design. GMP 2000: 347-363

Helmut Pottmann, Martin Peternell: On Approximation in Spaces of Geometric Objects. IMA Conference on the Mathematics of Surfaces 2000: 438-458

Helmut Pottmann, Martin Peternell, Bahram Ravani: An introduction to line geometry with applications. Computer-Aided Design 31(1): 3-16 (1999)

Martin Peternell, Helmut Pottmann, Bahram Ravani: On the computational geometry of ruled surfaces. Computer-Aided Design 31(1): 17-32 (1999)

Georg Glaeser, Johannes Wallner, Helmut Pottmann: Collision-free 3-axis milling and selection of cutting tools. Computer-Aided Design 31(3): 225-232 (1999)

Helmut Pottmann, Johannes Wallner: Approximation algorithms for developable surfaces. Computer Aided Geometric Design 16(6): 539-556 (1999)

H.-Y. Chen, I.-K. Lee, Stefan Leopoldseder, Helmut Pottmann, Thomas Randrup, Johannes Wallner: On Surface Approximation Using Developable Surfaces. Graphical Models and Image Processing 61(2): 110-124 (1999)

Stefan Leopoldseder, Helmut Pottmann: Approximation of developable surfaces with cone spline surfaces. Computer-Aided Design 30(7): 571-582 (1998)

Helmut Pottmann, Martin Peternell: Applications of Laguerre geometry in CAGD. Computer Aided Geometric Design 15(2): 165-186 (1998)

Martin Peternell, Helmut Pottmann: A Laguerre geometric approach to rational offsets. Computer Aided Geometric Design 15(3): 223-249 (1998)

Helmut Pottmann, Thomas Randrup: Rotational and Helical Surface Approximation for Reverse Engineering. Computing 60(4): 307-322 (1998)

Johannes Wallner, Georg Glaeser, Helmut Pottmann: Geometric Contribution to 3-axis Milling of Sculptured Surfaces. SSM 1998: 33-41

Helmut Pottmann, Peter Paukowitsch: Inflections of planar surface curves. Computer Aided Geometric Design 14(3): 293-297 (1997)

Johannes Wallner, Helmut Pottmann: Rational blending surfaces between quadrics. Computer Aided Geometric Design 14(5): 407-419 (1997)

Martin Peternell, Helmut Pottmann: Computing Rational Parametrizations of Canal Surfaces. J. Symb. Comput. 23(2/3): 255-266 (1997)

Helmut Pottmann: General offset surfaces. Neural Parallel & Scientific Comp. 5(1-2): 55-80 (1997)

Wei Lü, Helmut Pottmann: Pipe surfaces with rational spine curve are rational. Computer Aided Geometric Design 13(7): 621-628 (1996)

Helmut Pottmann, Wei Lü, Bahram Ravani: Rational Ruled Surfaces and Their Offsets. CVGIP: Graphical Model and Image Processing 58(6): 544-552 (1996)

Helmut Pottmann: Rational curves and surfaces with rational offsets. Computer Aided Geometric Design 12(2): 175-192 (1995)

Helmut Pottmann, Gerald E. Farin: Developable rational Bézier and B-spline surfaces. Computer Aided Geometric Design 12(5): 513-531 (1995)

Andreas Kolb, Helmut Pottmann, Hans-Peter Seidel: Fair Surface Reconstruction Using Quadratic Functionals. Comput. Graph. Forum 14(3): 469-480 (1995)

Helmut Pottmann, Michael G. Wagner: Helix splines as an example of affine Tchebycheffian splines. Adv. Comput. Math. 2(1): 123-142 (1994)

Helmut Pottmann, Karsten Opitz: Curvature analysis and visualization for functions defined on Euclidean spaces or surfaces. Computer Aided Geometric Design 11(6): 655-674 (1994)

Karsten Opitz, Helmut Pottmann: Computing shortest paths on polyhedra: applications in geometric modeling and scientific visualization. Int. J. Comput. Geometry Appl. 4(2): 165-178 (1994)

Michael G. Wagner, Helmut Pottmann: Geometric Motion Design. Modelling and Planning for Sensor Based Intelligent Robot Systems 1994: 104-119

Rida T. Farouki, Helmut Pottmann: Polynomial and Rational Pythagorean-Hodograph Curves Reconciled. IMA Conference on the Mathematics of Surfaces 1994: 355-378

Helmut Pottmann: The geometry of Tchebycheffian splines. Computer Aided Geometric Design 10(3-4): 181-210 (1993)

Helmut Pottmann: Interpolation on surfaces using minimum norm networks. Computer Aided Geometric Design 9(1): 51-67 (1992)

Robert E. Barnhill, Karsten Opitz, Helmut Pottmann: Fat surfaces: a trivariate approach to triangle-based interpolation on surfaces. Computer Aided Geometric Design 9(5): 365-378 (1992)

Helmut Pottmann: Locally Controllable Conic Splines with Curvature Continuity. ACM Trans. Graph. 10(4): 366-377 (1991)

Helmut Pottmann: Smooth curves under tension. Computer-Aided Design 22(4): 241-245 (1990)

Helmut Pottmann: Projectively invariant classes of geometric continuity for CAGD. Computer Aided Geometric Design 6(4): 307-321 (1989)

Helmut Pottmann: Interpolierende Kurven und Flächen mit geometrischer Stetigkeit höherer Ordnung. Austrographics 1988: 181-200

Helmut Pottmann: Eine Verfeinerung der Isophotenmethode zur Qualitätsanalyse von Freiformflächen. Visualisierungstechniken und Algorithmen 1988: 60