Course Contents
Curves: arc length and curvature; selected global theorems. Surface theory: fundamental forms, shape operator; principal curvatures, Gaussian and mean curvature. Compatibility equations, geodesics, parallel transport, Gauss-Bonnet Theorem. Topics from discrete differential geometry, such as: curvature of polygonal curves and polyhedral surfaces, Bézier curves and surfaces.
Literature
Bär: Elementare Differentialgeometrie
Montiel, Ros: Curves and surfaces
Hoschek, Lasser: Grundlagen der Geometrischen Datenverarbeitung
Preconditions
recommended: Analysis, Ordinary Differetial Equations, Linear Algebra
Online Offerings
moodle
- Lecturer: KirchOliver
- Lecturer: Mäder-BaumdickerElena
- Lecturer: SeidelJona
- Lecturer: SteinhardtMarcel Maximilian
Semester: WT 2024/25
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