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Lecture
Curve Tracing: Minimal Surfaces
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Minimal Surfaces and Discrete Differential Geometry
Explores minimal surfaces, curvature, Laplace-Beltrami operator, numerical solutions, Laplacian smoothing, diffusion flow, and time integration.
Course Recap and Asymptotic Grid Shells
Covers course recap, shape optimization, asymptotic grid shells, and differential geometry concepts.
Minimal Surfaces: Analytic Examples
Explores minimal surfaces, their properties, history, classification based on curvature, and examples from the Minimal Surfaces Gallery.
Computing Minimal Surfaces
Explores the computation of minimal surfaces, Laplacian, Gauss curvature, numerical solutions, and mesh processing.
Principal Curvatures: Gaussian Curvature
Explores principal curvatures and Gaussian curvature in the context of minimal surfaces, demonstrating their real-world applications.
Discrete Differential Geometry
Covers topics in discrete differential geometry, including differential operators, Laplace-Beltrami operator, functions on triangle meshes, and discrete curvatures.
Weingarten Application of Regular Surfaces
Covers the application of the Weingarten map on regular surfaces and the shape operator.
Differential Geometry: Surfaces
Explores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.
Differential Geometry: Parametric Curves & Surfaces
Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.
Gothic Surfaces: Curvature, Development, and Stereotomy
Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.