smooth 3D curves 

smooth 3D curves –
I'm working on modelling mathematical knots. Some are expressible in closed form (like the trefoil ) but generally the path or paths are given as...
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The simplest method would of course be to evaluate the curve functions with a denser set of parameters. Otherwise, to approximate the intermediate...
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Here is a simple subdivision using the classic 4point scheme:
weight = [1, 9, 9, 1] / 16;
function interpolate(nodes) =
nodes[0] * wei...
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I have written several programs to do this, at varying levels of ambition, since the mid 1980's. All have
been in either C or Java, not OpenSCAD...
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In my post I did just that. But instead of getting analytical tangents, the tangents where approximated using a central difference (s[1]s[1]...
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Thanks so much, thats just the ticket. I rearranged to eliminate the let and added a function to recursively apply the subdivision.
weight...
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Just a note to emphasise the power of the current OpenSCAD. I used the approach to creating closed tubes developed by NopHead to create knots fro...
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