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Lecture
Parametric Surfaces
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Related lectures (31)
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Surface Normals: Vector Analysis
Explains surface normals for parametric and implicit surfaces, focusing on vector analysis and examples with spheres.
Ruled Surfaces: Generators and Applications
Explores ruled surfaces, surfaces generated by moving lines in space, including cones, cylinders, and hyperboloids, with applications in architecture.
Angle Calculation on Regular Surfaces
Covers the calculation of angles between curves on regular surfaces and the concept of curvilinear abscissa.
Intrinsic Geometry of Regular Surfaces
Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.
Weingarten Application of Regular Surfaces
Covers the application of the Weingarten map on regular surfaces and the shape operator.
Fourier Analysis: Stokes Theorem
Explores the application of Stokes' theorem to surfaces and vector spaces in Fourier analysis.
Surfaces in R^3: Curves and Regular Surfaces
Covers curves in R^2, regular surfaces in R^3, and geometric properties of edges.
Ellipses and Conics
Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.
Developable Surfaces and Parametrization
Explores developable surfaces, parametrization, equations verification, and conformally flat surfaces.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
