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 10440
Fax: +43 1 58801 10493
Email: pottmann(at)geometrie.tuwien.ac.at
Web: http://www.geometrie.tuwien.ac.at/pottmann


Education
Professional Experience
Research Interests
Publications
List of Publications 1995-2006: [BibTeX file], [Pdf], [HTML].
List of Publications 1982-1995: [Pdf].
Books
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H. Pottmann, A. Asperl, M. Hofer and A. Kilian: Architectural Geometry. Bentley Institute Press (2007), 724 pages, 2200 figures in color, ISBN 978-1-934493-04-5..

Deutsche Ausgabe: Architekturgeometrie,  Springer & Bentley Institute Press (2010), 1st Edition., 474 S. 650 Abb. in Farbe., Geb. ISBN: 978-3-211-99765-9

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)

New softcover edition to appear in November 2009. Springer-Verlag, Berlin 2010. ISBN 978-3-642-04017-7.

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.


Selected Publications 2013
line congrunences

Discrete Line Congruences for Shading and Lighting

J. Wang, C. Jiang, P. Bompas, J. Wallner, and H. Pottmann
Computer Graphics Forum 32/5 (2013), Proc. Symposium Geometry Processing
circular arc snakes

Circular arc snakes and kinematic surface generation

M. Barton, L. Shi, M. Kilian, J. Wallner, and H. Pottmann
Computer Graphics Forum 32 (2013), Proc. Eurographics, to appear.
affine minimal surfaces

Smooth surfaces from bilinear patches: discrete affine minimal surfaces

F. Käferböck and H. Pottmann
Comput. Aided Geom. Design, (2013), to appear.
Selected Publications 2012
webs from circles

Darboux Cyclides and Webs from Circles

H. Pottmann, L. Shi and M. Skopenkov
Comput. Aided Geom. Design, 29: 77-97, 2012
ruled laguerre minimal surfaces

Ruled Laguerre minimal surfaces

M. Skopenkov, H. Pottmann and P. Grohs
Math. Z. 272, 645-674, 2012.
self supporting surfaces

Design of self-supporting surfaces

E. Vouga, M. H÷binger, J. Wallner and H. Pottmann
ACM Trans. Graphics 31 (2012), Proc. SIGGRAPH.
Selected Publications 2011
shape space exploration

Shape Space Exploration of Constrained Meshes

Y.-L. Yang, Y.-J. Yang, H. Pottmann and N. J. Mitra
Proc. SIGGRAPH Asia (2011).
circular arc structures

Circular arc structures

P. Bo, H. Pottmann, M. Kilian, W. Wang and J. Wallner
ACM Trans. Graphics 30 (2011), #101,1-11, Proc. SIGGRAPH.
freeform

Geometric Computing for Freeform Architecture

J. Wallner and H. Pottmann
J. Math. Industry (2011), Vol. 1
Selected Publications 2010
panels

Geodesic Patterns

H. Pottmann, Q. Huang, B. Deng, A. Schiftner, M. Kilian, L. Guibas, J. Wallner
ACM Trans.\ Graphics, Vol. 29, Nr.3, 2010 
panels

Paneling Architectural Freeform Surfaces

Michael Eigensatz, Martin Kilian, Alexander Schiftner, Niloy J. Mitra, Helmut Pottmann, Mark Pauly
SIGGRAPH 2010 

A curvature theory for discrete surfaces based on mesh parallelity.

Alexander I. Bobenko, Helmut Pottmann, and Johannes Wallner
Math. Annalen (2010).
Selected Publications 2009

Geometrische Struktur und Freiformarchitektur

J. Wallner and H. Pottmann
IBDG Vol. 27, Nr. 1, p. 34-38 (2009)
panels

Edge offset meshes in Laguerre geometry.

H. Pottmann, P. Grohs, and B. Blaschitz.
Adv. Comp. Math. (2009).
 
meshes

Integral invariants for robust geometry processing.

H. Pottmann, J. Wallner, Q. Huang, and Y.-L. Yang.
Comput. Aided Geom. Design, 26, 37-60 (2009).
laguerre

Laguerre Minimal Surfaces, Isotropic Geometry and Linear Elasticity

H. Pottmann, P. Grohs and N.J. Mitra
Adv. Comp. Math, 31, 391-419 (2009).
penetration

Generalized Penetration Depth Computationbased on Kinematical Geometry

G. Nawratil, H. Pottmann and B. Ravani
Journal of Computer Aided Geometric Design, 26, 425-443 (2009).
Selected Publications 2008
panels

Geometry of architectural freeform structures.

H. Pottmann, A. Schiftner, and J. Wallner.
Int. Math. Nachr., Nr. 209/2008
panels

Edge offset meshes in Laguerre geometry.

H. Pottmann, P. Grohs, and B. Blaschitz.
Adv. Comp. Math., (2009)
panels

Freeform surfaces from single curved panels.

H. Pottmann, A. Schiftner, P. Bo, H. Schmiedhofer, W. Wang, N. Baldassini, and J. Wallner.
ACM Trans. Graphics, 27/3, Proc. SIGGRAPH (2008).
meshes

Discovering Structural Regularity in 3D Geometry.

M. Pauly, N.J. Mitra, J. Wallner, H. Pottmann and L.J Guibas.
ACM Trans. Graphics, 27/3, Proc. SIGGRAPH (2008).
fold

Curved Folding.

M. Kilian, S. Föry, Z. Chen, N. J. Mitra, A. Sheffer and H. Pottmann.
ACM Trans. Graphics, 27/3, Proc. SIGGRAPH (2008).
meshes

Integral invariants for robust geometry processing.

H. Pottmann, J. Wallner, Q. Huang, and Y.-L. Yang.
Comput. Aided Geom. Design, 26, 37-60 (2009), 
meshes

Infinitesimally flexible meshes and discrete minimal surfaces.

J. Wallner and H. Pottmann
Monatshefte Math., 153/347-365 (2008).
laguerre

Laguerre Minimal Surfaces, Isotropic Geometry and Linear Elasticity

H. Pottmann, P. Grohs and N.J. Mitra
Adv. Comp. Math.
motion

Subdivision Schemes for the fair Discretization of the Spherical Motion Group

G. Nawratil and H. Pottmann
Journal of Computational and Applied Mathematics.
robust

The focal geometry of circular and conical meshes.

H. Pottmann and J. Wallner
Adv. Comp. Math (2008).
Selected Publications 2007
buch

Architectural Geometry

H. Pottmann, A. Asperl, M. Hofer and A. Kilian
Bentley Institute Press (2007), 724 pages, 2200 figures in color, ISBN 978-1-934493-04-5.
freeform

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
freeform

Geometric Modeling in Shape Space

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

Dynamic Geometry Registration

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

Robust feature classification and editing.

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

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
conical

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
fracture

Reassembling fractured objects by geometric matching.

Q.-X. Huang, S. Flöry, N. Gelfand, M. Hofer and H. Pottmann
ACM Trans. Graphics, Proc. SIGGRAPH 2006.
Work for Scientific Journals

(c) H. Pottmann, 14-Aug-2007