Principal Curvatures and Mean Curvature

Related lectures (30)

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Explores mean and Gaussian curvature, emphasizing their calculation for different bases and surfaces.

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

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

Explores minimal surfaces, curvature, Laplace-Beltrami operator, numerical solutions, Laplacian smoothing, diffusion flow, and time integration.

Covers the fundamentals of differential geometry of surfaces, including the equilibrium of shells, pressure vessels, and the curvature of surfaces.

Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.

Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.

Explores cylindrical pressure vessels, surfaces parametrization, and geometrical properties computation.

Explores the theory and applications of helical curves, focusing on circular helices with various parameters.

Explores equilibrium of cylindrical shells, parametrization of surfaces, and geometrical properties.