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Usually in plotting software, space curves are represented as a matte line. However, this is not always sufficient to visualize them. This is more prominent in cases of curves on surfaces where the surface is either minimally shaded or not at all (ie matte).

A different approach is to plot the space curves as thin shaded cylinders, where the lighting effects on the cylinder help visualise the curvature/torsion of the curve.

I want to produce such renders of curves on surfaces. What is the easiest way to take a similar ASCII format to gnuplot and produce the more complex renders I describe above?

I am looking for some free rendering software, which accepts a series of interpolation points and can generate something like the above

Stamatis
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    see [cubic curve rendering in GLSL](https://stackoverflow.com/a/60113617/2521214) its pixel perfect like ray tracing however using native GPU pipeline so its much much faster and convenient ... You can do the same for cubic surfaces ... as it works on polynomials having first and second derivation is easy (curvature and torsion) – Spektre Nov 12 '22 at 05:46

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