Lectures related to Geometric Quantities in Parameterized Curves

Explores curves, isometries, Bezier curves, and the Frenet coordinate system.

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

Explores the theory and applications of helical curves, focusing on circular helices with various parameters.

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

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

Explores geometric surfaces, rules between shapes, and architectural applications.

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