Touching Soap Films

An Introduction to Minimal Surfaces
By Hermann Karcher and Konrad Polthier


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Introduction
Plateau
History
Visualization
Architecture
Crystallography
Weierstraß
Properties 1
Properties 2
Properties 3
Symmetry
Alteration
Periodic
Handles
Production
Scenes 1
Scenes 2
Scenes 3
Results
Exhibition
Numerics
References
Web Links

Production of the Video

Fig 15. Minimal surfaces often come in families requiring complex visualization concepts for interpolation of adaptly refined meshes. This animation features the insertion of a handle into Schwarz' P-surface, cf Fig 13, Fig 21 and Fig 23. Video (15.4MB, 4.2MB)

The video was produced by the authors at the Sonderforschungsbereich 256 at the Institute for Applied Mathematics at the University of Bonn and the Sonderforschungsbereich 288 at the Technical University of Berlin. Numerous experts of both research departments contributed with mathematical and computer graphical expertise to the success of this project.

Different inhouse and commercial software programs were applied during the production process. All mathematical programming was done in the mathematical visualization environment Grape. This includes all numerical computations and animations of the minimal surfaces. These geometric models were then imported to the animation and modeling environment Softimage. Here the ambient scenes were created including the acting figures and the final rendering.

The initial stages of the production were characterized by the development of new numerical algorithms for the computation of minimal surfaces and new visualization techniques for the animation of time-dependent geometries, leading itself to new research results. Additionally, a number of new minimal surfaces displayed in the video were mathematically discovered during the production process.

The video consists of about 60000 single images leading to a total length of 41:30 minutes with 25 images shown per second. Each rendered image is about one MB in size, and they were compressed into JPEG files leading to a total of 6 GB storage. The video contains 313 different scenes whose description files are 630 MB in size.

Christoph März digitally composed the music especially for the video. The voices of professional actors were recorded, synchronized and mixed with music, sound and video at the studios of VTTV in Berlin.

© 1996-2013 Last modified: 23.04.2013 --- Konrad Polthier --- Freie Universität Berlin, Germany