Mean curvature flow

Formal sciences
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Differential geometry

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Related lectures (11)

Course Recap and Asymptotic Grid Shells

Covers course recap, shape optimization, asymptotic grid shells, and differential geometry concepts.

Quadratic Fitting: Coefficients and Solutions

Covers the computation of matrices for mesh processing and the Laplace equation solution for mesh deformation.

Differential Geometry of Surfaces

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

Plates II: Föppl-von Kármán Equations

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

Cylinders: Pressure and Geometry

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

Discrete Differential Geometry

Covers topics in discrete differential geometry, including differential operators, Laplace-Beltrami operator, functions on triangle meshes, and discrete curvatures.

Principal Curvatures: Gaussian Curvature

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

Mean and Gaussian Curvature

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

Differential Geometry: Parametric Curves & Surfaces

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

Differential Geometry: Surfaces

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

Surfaces and Curvature in 3D Modeling

Explores surfaces and curvature in 3D modeling, covering zero curvature, variable curvature, and constant canonical curvatures.

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