How can I generate a curve’s inflexion points (points where the curvature graph crosses the curve) ? [Inflexion%20points]

Hi Osuire, this could help [image] curve inflection points hi, i need to be able to create a tangent arc between two curves inflection points. see attached. cheers Will [image] Get points were curvature is 0 (zero) Hi there! Is there any chance of…

Cant you intersect the curve with the curvature graph or control polygon (output from the control points component)? Can’t remember if the control polygon correlates with where the graph crosses over. Edit: nope they don’t but this one from David seems to work: https://api.ning.com/files/EIXZaHYkjt…

you can also use this ; created by Jacek Jaskólski [curve] [image] Curve division density wise Hi all, I've been investigating on the subject of customized (uneven) curve divisions recently. I was especially interested in finding a solution for controll…

[curvature] Inflexion points_2.gh (23.6 KB)

Hi Seghier, I did something similar (see my second post), but I don’t like the fact that the quality of the result depends on how many points you use ; I have thouthands of curves to process, and this is going to slow down my definition to a crawl.

This is still based on an approximation, and relies on using a sh…load of points. All these tools that output “something” based on a parameter fall short of being truly useful in my opinion. They don’t relate to the actual topology of curves (or surfaces for that matter) which is really what we ar…

You can get the points in native Rhino with the Curvature command if that helps…

I don’t test it with many curves, maybe that create many duplicates and slowdown the calculation And curvature graph is not precise. If you change the density, the points changed

Try this for multiple curves Inflexion points_3.gh (16.5 KB)

there is a method but it is long ; maybe with script or some plugins can work faster if you use Curvature graph in rhino you can print everything to rhino pdf than import it to rhino [gh] if rhino can export the graph to pdf file i think it is possible to directly create curves

Curve inflexion points?

Grasshopper

dale (Dale Fugier) April 22, 2019, 6:12pm 13

Hi @osuire,

Attached is (basically) what the Curvature command does.

test_curve_inflection_points.gh (4.4 KB)

– Dale

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Curve inflexion points?

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