Surface Curvature and Assimilation

Related lectures (30)

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

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

Explores minimal surfaces, their properties, history, classification based on curvature, and examples from the Minimal Surfaces Gallery.

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

Covers conservation laws in fluid dynamics, including the Venturi effect and Bernoulli equation.

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

Explores principal curvatures and Gaussian curvature in the context of minimal surfaces, demonstrating their real-world applications.

Explores pressure drop in closed-flow systems, including minor losses and exercises on fluid transfer and pump power.

Explores interdisciplinary research in facial modelling, focusing on anatomical curves, valley curves, and Procrustes registration.