Surface Orientation: Parameterization and Edge Configuration

Related lectures (31)

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Introduces working with surfaces, polysurfaces, and solids in Rhino, covering rendering, material editing, and mesh creation.

Explains surface integrals, parameterization, and regularity of surfaces.

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

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

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

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

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Clarifies the use of Jacobian, normal vectors in surfaces, and arccos(z) constraints.

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

Explores implicit surface parametrizations and the use of metric tensors in surface parameterization.