Minimal Surfaces and Discrete Differential Geometry

Related lectures (30)

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

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

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

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

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

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

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

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

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

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