Parametric Curves: Basics and Applications

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Explores involutes and Bezier curves, essential in computer-aided design.

Covers Bezier curves, de Casteljau Algorithm, properties, derivatives, splines, and end-points.

Explores the fundamentals and applications of Bezier curves, focusing on their construction, properties, and practical uses in design and modeling.

Covers the basics of Bezier curves and introduces Bernstein polynomials.

Explains tangent vectors of curves and the construction and applications of Bézier curves in computer graphics.

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

Explores geometric modeling using splines and freeform deformation for creating smooth surfaces and deformable objects in 3D space.

Covers the equations for curves and surfaces in space, including parametric and particular surfaces.

Covers the representation of plane curves and the nature of obtained curves.

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