Is there an easy way to find the radius of curvature of a series of points?

Is there an easy way to find the radius of curvature of a series of points? I can fit a spline (7th order most likely) to the curve if I have to, but id really rather not.

Failing that, are there any ways of describing a curve, or curve metrics, without accurately knowing the endpoint? (hence using the radius of curvature)

Answer 1

[Jonathan Sullivan]

Yup. There are a few solutions on the file exchange.

For 2D lines try this link

For 3D surfaces try this one

[Simon]

Its very difficult to know what this function is doing (its 2D curves I'm looking for) - the intent is very unclear. do you know of anything else? Also, the grammar is horrendous...

[Mehrana Raeisian Nejad]

What about 3d lines?

[Moreno, M.]

https://uk.mathworks.com/matlabcentral/fileexchange/107929-discrete-curvature-normals-and-evolute