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Geometry for Computational Design and Fabrication
Last Updated: 2026-02-05 16:29:52
Abstract
The main intention of the course is to present geometric concepts that turned out to simplify the solution of problems in computational design and fabrication and hold promise to provide useful methodology for future research in this area.
Content
Assuming some basic knowledge of elementary differential geometry of curves and surfaces in 3-dimensional Euclidean space, we will discuss concepts of classical constructive differential geometry and their discrete versions, with a focus on quadrilateral nets. Topics to be addressed include mappings between surfaces, conjugate parameterizations, principal parameterizations, developable surfaces and their applications in architectural structures, design of mechanical metamaterials and fabrication processes based on bending of material. Another focus is on geometric optimization problems, discussing mainly geometric ideas on initialization, regularization and the formulation of frequently appearing objective functions. A further topic is given by transformations which preserve important structures. This reaches into the sphere geometries of Möbius and Laguerre and transformations of nets. Finally, we present the basics of kinematical geometry, such as velocity fields and their use in registration algorithms, infinitesimal flexibility and the closely related static equilibrium of shells.
Resources
Learning Materials (Links)
- Main link
- Course webpage
General Information
- Language
- English
- Levels
- DR , MSC
Examination
- Type
- ungraded semester performance
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise | Geometry for Computational Design and Fabrication |
|
2 h weekly |
Offered In
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Elective Courses (Students can individually choose from the entire Master course offerings in the area of Computer Science (or a closely related field), from ETH Zurich, EPF Lausanne, the University of Zurich and - but only with the consent of the Director of Studies - from all other Swiss universities.)
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Doctorate Computer Science (More Information at: )