| Practical Geometry [2024 SoSe] | ||
|---|---|---|
| Code IPGeo |
Name Practical Geometry |
|
| CP 4 |
Duration one semester |
Offered irregularly |
| Format Lecture 2 SWS + Exercise course 1 SWS |
Workload 120h, thereof 45 h lecture 60 h self-study and working on assignments 15h preparation for exam |
Availability M.Sc. Angewandte Informatik M.Sc. Data and Computer Science M.Sc. Scientific Computing |
| Language English |
Lecturer(s) Susanne Krömker |
Examination scheme |
| Learning objectives | Understanding of basic geometric concepts for data analysis as well as efficient point search and further processing of measurement data Confident handling of projections and descriptions beyond the three-dimensional world of experience Calculation of geometric invariants, distances, curvatures from measurement data, reconstructed and generated surfaces |
|
| Learning content | Basic areas of geometry with relevance in computer graphics, image processing, pattern recognition, computer vision and geometric modeling. (i) Analytic geometry: operations on vector spaces with appropriate coordinates and mappings (affine mappings, collinearities), geometric fitting of point clouds to linear structures or planes from error-prone measurement data (ii) Projective geometry: central projection and inverse reconstruction of 3D objects from planar images (computer vision, geodesy), differences between B-spline curves and surfaces and the class of NURBS, freeform geometries in CAD systems (iii) Differential geometry: parameter representations in geometric data processing, implicit representations (level sets), estimation of invariants from discrete data (triangulations, point clouds). |
|
| Requirements for participation | recommended are: linear algebra, computational geometry and any programming language (e.g. C/C++/Pascal/python) | |
| Requirements for the assignment of credits and final grade | The module is completed with a graded oral examination. The final grade of the module is determined by the grade of the examination. The requirements for the assignment of credits follows the regulations in section modalities for examinations. | |
| Useful literature | Geometrie für Informatiker, Script TU Vienna 2004, Helmut Pottmann, current publications | |