Prof. Dr. Helmut Pottmann


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)

Consulting hours

Tuesday, 11.00-12.00


Professional Experience

Research Interests


List of Publications 1995-2006: [BibTeX file], [Pdf], [HTML].
List of Publications 1982-1995: [Pdf].



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.

------------------------------------------------------------------------- List of Publications
Selected Publications 2007

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

Geometric Modeling in Shape Space

Martin Kilian, Niloy J. Mitra and Helmut Pottmann
ACM Trans. Graphics 26/3 (2007), Proc. SIGGRAPH

Dynamic Geometry Registration

Niloy J. Mitra, Simon Floery, Maks Ovsjanikov, Natasha Gelfand, Leonidas Guibas and Helmut Pottmann
Symposium on Geometry Processing 2007

Robust feature classification and editing.

Y.-K. Lai, Q.-Y. Zhou, S.-M. Hu, J. Wallner and H. Pottmann.
IEEE Trans. Vis. Comp. Graphics
Selected Publications 2006

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

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

Reassembling fractured objects by geometric matching.

Q.-X. Huang, S. Flöry, N. Gelfand, M. Hofer and H. Pottmann
ACM Trans. Graphics, Proc. SIGGRAPH 2006.
Selected Publications 2005

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

Robust global registration

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

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),
Selected Publications 2004

Energy-minimizing splines in manifolds

M. Hofer and H. Pottmann
ACM Transactions on Graphics (Proceedings of ACM SIGGRAPH 2004)

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

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

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

Work for Scientific Journals

Teaching Activities

Courses for students of geometry, mathematics, computer science, architecture, civil engineering and geodesy.

(c) H. Pottmann, 3-Aug-2007