Implicit Surface Parametrizations

Related lectures (32)

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Explains the parametric equations of surfaces of revolution generated by curves in space.

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

Explores developable surfaces, parametrization, equations verification, and conformally flat surfaces.

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Covers the intersection of manifolds in exercise 8.2 and fiscal year 8.8.

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

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

Covers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.

Explores the second fundamental tensor and its role in calculating normal curvature on surfaces.

Explores the definition and properties of the metric tensor, enabling control of geometric quantities and lengths.