Modul

See partial achievements (Teilleistung)

Students of this course are knowledgeable about basic concepts of classic differential geometry and discrete differential geometry and are able to apply these concepts in the design and analysis of smooth and discrete surfaces.

See partial achievements (Teilleistung)

Frenet frame, contact of curves, first and second fundamental form, Meusnier*s theorem, Darboux frame, asymptotic lines, geodesics, curvature lines, parallel transport, Dupin’s indicatrix, Gaussian and mean curvature, conjugate curve networks, developable surfaces, minimal surfaces, conformal maps, Dirichlet energy, various normal estimates, plane of regression, straightest lines on meshes, discrete geodesic curvature, vector fields on meshes, distance fields on meshes, estimates of the second fundamental form, discrete Gaussian curvature. spherical indicatrix, discrete minimal surfaces

The lecture builds on parts of the contents of the lectures Algorithms I and Algorithms II. Corresponding previous knowledge is therefore helpful.

150 h