Prof. Dr. Helmut Pottmann
Address
Prof. Dr. Helmut Pottmann
Geometric Modeling and Industrial Geometry
Vienna University of Technology
Wiedner Hauptstr. 8-10/104
A-1040 Wien, Austria
Phone: +43 1 58801 11310
Fax: +43 1 58801 10493
Email: pottmann(at)geometrie.tuwien.ac.at
Web: http://www.geometrie.tuwien.ac.at/pottmann
Consulting hours
Tuesday, 11.00-12.00
Education
- Dr. techn. in Mathematics, Vienna University of Technology, 6/83
- 'Mag. rer. nat.' (comparable to M.S.) in Mathematics, Vienna University of Technology, 4/82
- Study of Mathematics and Descriptive Geometry, Vienna University of Technology, 9/77-6/83
Professional Experience
- Visiting Chair Professor, Dept. of Computer Science, Tsinghua University, Beijing, China, 3/04 - 4/04, 5/04 - 6/04
- Key Researcher, Competence Center 'Advanced Computer Vision,' Vienna, since 7/00
- Adjunct Professor, University of California, Davis, USA, since 6/99
- Director, Institute of Geometry, Vienna University of Technology, 10/94-5/97
- Professor of Geometry, Vienna University of Technology, since 3/92
- Associate Professor of Mathematics, University of Hamburg, Germany, 4/91 - 2/92
- Visiting Associate Professor of Computer Science, Purdue University, USA, 8/90 - 4/91
- Visiting Associate Professor of Computer Science, University Kaiserslautern, Germany, 7/89 - 6/90
- Research stay, Center of Applied Mathematics, Darmstadt University of Technology, Germany, 4/89 - 6/89
- Assistant Professor, Institute of Geometry, Vienna University of Technology, 10/88 - 4/91
- Habilitation in `Geometry', Vienna University of Technology, 4/86
- 'Universitätsassistent', Institute of Geometry, TU Wien, 5/82 - 10/88
Research Interests
- Industrial Geometry
- Architectural Geometry
- Discrete Differential Geometry
- Relations between Geometry, Numerical Analysis and Approximation Theory
- Computer Aided Geometric Design, Geometric Modelling and Computer Vision
- Applications of Geometry in Manufacturing
- Kinematical Geometry and Robot Kinematics
Publications
List of Publications 1995-2006: [BibTeX file], [Pdf], [HTML].List of Publications 1982-1995: [Pdf].
Books
H. Pottmann, A. Asperl, M. Hofer and A. Kilian: Architectural Geometry. Bentley Institute Press (2007), to appear.
Geometry lies at the core of the architectural design process. It is omnipresent, from the initial form-finding stages to the actual construction. Modern constructive geometry provides a variety of tools for the efficient design, analysis, and manufacture of complex shapes. This results in new challenges for architecture. However, the architectural application also poses new problems to geometry. Architectural geometry is therefore an entire research area, currently emerging at the border between applied geometry and architecture.
This book has been written as a textbook for students of architecture or industrial design. It comprises material at all levels, from the basics of geometric modeling to the cutting edge of research. During the architectural journey through geometry, topics typically reserved for a mathematically well-trained audience are addressed in an easily understandable way. These include central concepts on freeform curves and surfaces, differential geometry, kinematic geometry, mesh processing, digital reconstruction, and optimization of shapes.
This book is also intended as a geometry consultant for architects, construction engineers, and industrial designers and as a source of inspiration for scientists interested in applications of geometry processing in architecture and art.
Helmut Pottmann, Johannes Wallner, Computational Line Geometry, Springer Verlag, Heidelberg, Berlin u.a. 2001. (ISBN 3-540-42058-4, 565 pp. 264 figs., 17 in color)
This book for the first time studies line geometry from the viewpoint of scientific computation and shows the interplay between theory and numerous applications. On the one hand, the reader will find a modern presentation of `classical' material. On the other hand we show how the methods of line geometry enable an elegant approach to many problems whose connection to line geometry is not obvious at first sight.
The geometry of lines occurs naturally in such different areas as sculptured surface machining, computation of offsets and medial axes, surface reconstruction for reverse engineering, geometrical optics, kinematics and motion design, and modeling of developable surfaces. This book covers line geometry from various viewpoints and aims towards computation and visualization. Besides applications, it contains a tutorial on projective geometry and an introduction into the theory of smooth and algebraic manifolds of lines. It will be useful to researchers, graduate students, and anyone interested either in the theory or in computational aspects in general, or in applications in particular.
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Geometry of multi-layer freeform structures for architecture H. Pottmann, Y. Liu, J. Wallner, A. Bobenko and W. Wang
ACM Trans. Graphics 26/3 (2007), Proc. SIGGRAPH |
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Geometric Modeling in Shape Space Martin Kilian, Niloy J. Mitra and Helmut Pottmann
ACM Trans. Graphics 26/3 (2007), Proc. SIGGRAPH |
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Niloy J. Mitra, Simon Floery, Maks Ovsjanikov, Natasha Gelfand, Leonidas Guibas and Helmut Pottmann
Symposium on Geometry Processing 2007 |
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Robust feature classification and editing. Y.-K. Lai, Q.-Y. Zhou, S.-M. Hu, J. Wallner and H. Pottmann.
IEEE Trans. Vis. Comp. Graphics |
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Geometry and convergence analysis of algorithms for registration of 3D shapes H. Pottmann, Q.-X. Huang, Y.-L. Yang and S.-M. Hu
Int. J. Computer Vision |
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Geometric modeling with conical meshes and developable surfaces. Y. Liu, H. Pottmann, J. Wallner, Y.-L. Yang and W. Wang
In ACM Trans. Graphics Proc. SIGGRAPH |
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Reassembling fractured objects by geometric matching. Q.-X. Huang, S. Flöry, N. Gelfand, M. Hofer and H. Pottmann
ACM Trans. Graphics, Proc. SIGGRAPH 2006. |
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3D shape recognition and reconstruction based on line element geometry M. Hofer, B. Odehnal, H. Pottmann, T. Steiner and J. Wallner
In Tenth IEEE International Conference on Computer Vision IEEE Computer Society, 2005 |
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N. Gelfand, N. J. Mitra, L. J. Guibas and H. Pottmann
In M. Desbrun and H. Pottmann, editors, SGP 2005: Third Eurographics Symposium on Geometry processing |
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Industrial Geometry: Recent advances and applications in CAD H. Pottmann, S. Leopoldseder, M. Hofer, T. Steiner and W. Wang
Computer-Aided Design 37/7 (2005), |
- M. Peternell, H. Pottmann, T. Steiner, H. Zhao (2005) Swept volumes. Technical Report 130, Geometry Preprint Series, Vienna Univ. of Technology, Computer Aided Design and Applications, to appear. [Pdf]
- J. Wallner, H. Pottmann, M. Hofer (2005) Fair webs. Technical Report 134, Geometry Preprint Series, Vienna Univ. of Technology, [Pdf]
- Pottmann, H., Hofer, M. (2005) A variational approach to spline curves on surfaces. Computer Aided Geometric Design, to appear. [Pdf]
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Energy-minimizing splines in manifolds M. Hofer and H. Pottmann
ACM Transactions on Graphics (Proceedings of ACM SIGGRAPH 2004) |
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Registration of point cloud data from a geometric optimization perspective N. J. Mitra, N. Gelfand, H. Pottmann, and L. Guibas
In R. Scopigno and D. Zorin, editors, Eurographics Symposium on Geometry Processing |
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Line geometry for 3D shape understanding and reconstruction H. Pottmann, M. Hofer, B. Odehnal, and J. Wallner
In T. Pajdla and J. Matas, editors, Computer Vision - ECCV 2004, Part I, volume 3021 of Lecture Notes in Computer Science |
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The isophotic metric and its application to feature sensitive morphology on surfaces H. Pottmann, T. Steiner, M. Hofer, C. Haider, and A. Hanbury
In T. Pajdla and J. Matas, editors, Computer Vision - ECCV 2004 |
- Pottmann, H., Leopoldseder, S., Hofer, M., Registration without ICP, Computer Vision and Image Understanding 95(1), 2004, pp. 54-71. [Pdf]
- Hofer, M., Pottmann, H., Ravani, B. (2004) From curve design algorithms to the design of rigid body motions. The Visual Computer 20, pp. 279-297. [Pdf]
- Pottmann, H., Hofer, M., Ravani, B. (2004) Variational motion design. Proceedings of ARK 2004, Kluwer, pp. 361-370. [Pdf]
- Wallner, J., Pottmann, H. (2004) Variational interpolation of subsets. Constr. Approx 20, 233-248. [Pdf]
- J. Wallner, H. Pottmann (2004) Intrinsic subdivision with smooth limits for graphics and animation. Technical Report 120, Geometry Preprint Series, Vienna Univ. of Technology, [Pdf]
Work for Scientific Journals
- Associate Editor of the journal Computer Aided Geometric Design (Elsevier)
- Associate Editor of the journal Advances in Computational Mathematics (Springer)
- Associate Editor of The Visual Computer (Springer)
- Associate Editor of the journal SIAM Journal on Imaging Sciences
- Associate Editor of Virtual and Physical Prototyping (Taylor & Francis)
Teaching Activities
Courses for students of geometry, mathematics, computer science, architecture, civil engineering and geodesy.
- Geometrie in der Technik
- Computer Aided Geometric Design
- Geometrie für Informatiker
- Line Geometry
- Projective Geometry
- Erschließung neuer Geometrien für Architekten
- CAAD und Geometrie
- Grundkurs Architektur und Darstellung - Darstellende Geometrie
- Geometrie und CAD
(c) H. Pottmann, 3-Aug-2007