Lecture

Discrete Differential Geometry

Related lectures (28)

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

Covers the application of the Weingarten map on regular surfaces and the shape operator.

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

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

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

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

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

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

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

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

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

Covers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.

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

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

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

Explores the mechanics of slender structures, discussing plate evaluation, bending energy, and curvature tensors.

Explores the computation of minimal surfaces, Laplacian, Gauss curvature, numerical solutions, and mesh processing.

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

Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.