- course no.
- 263-5907-00
- semester
- Fall 2024
- lecturer
- Helmut Pottmann
- assistant
- Olga Sorkine-Hornung
(contact via adress below only, please) - contact
- lecture
- Tue 10-12; CAB, G 57
- ECTS credits
- 1 credit
announcements
- 17.09.24
- Welcome to the fall semester! Note that the first lecture of the course will start on October 8, 2024.
overview
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.
Course objectives
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.
Course work and performance assessment
Ungraded semester performance.
schedule and course notes
The course schedule is tentative and might be adjusted along the way.
- 01.10.24
- No class.
- 08.10.24
- 15.10.24
- 22.10.24
- 29.10.24
- 05.11.24
- 12.11.24
- 19.11.24
- 26.11.24