Lecture
Differential Geometry: Curves
Description
This lecture covers the differential geometry of parametric curves, including tangent and normal vectors, arc length parameterization, curvature, osculating circle, and discrete curvature. It also explores curve smoothing techniques and re-parameterization methods. The presentation delves into geometry representations, parametric curve properties, and the concept of unit circle. Practical examples and applications are provided to illustrate the theoretical concepts.
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