Curvature and Oriented Curvature

Related lectures (29)

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Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Explores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Explores curves, isometries, Bezier curves, and the Frenet coordinate system.

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Covers geodesic curves parameterized at constant speed to minimize distances between points.

Explores the geometry of parametric curves, covering tangent vectors, curvature, and curve smoothing techniques.

Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.