Lecture
Differential Geometry: Parametric Curves & Surfaces
In course
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Description
This lecture covers the fundamentals of differential geometry, focusing on parametric curves and surfaces. Topics include tangent and normal vectors, arc length parameterization, curvature, osculating circles, principal curvatures, mean & Gaussian curvature, and asymptotic directions. Practical applications such as curve smoothing and surface optimization are also discussed.
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