Parametric surface

Related lectures (32)

Page 2 of 4

Explores regular surfaces and painting with normal vectors, integral calculations, symmetries, and surface orientation.

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

Covers conforming configurations in veneering, focusing on the pseudosphere example.

Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.

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

Explores stereographic projection and metric tensors on hyperbolic planes, emphasizing isometry and conforming models.

Explains the surface integral for vector fields and demonstrates its calculation process through examples.

Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

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