Procedural Geometry with Parametric Modeling

I implemented several parametric modeling techniques with my homebrew geometry / math libraries in C++ and rendered in UE4.

Solid of Revolution

Essentially you take a curve (perhaps a b-spline, pick your favorite) and revolve about an axis of rotation, creating vertices and triangles as you step.

A more formal treatment is available at https://en.wikipedia.org/wiki/Solid_of_revolution

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Here’s another curve

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Extrusion

Here’s a curve knot that I extruded along the path “profile” of a knot.

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