Curve fitting: Dividing spline into segments of equal length

Hello

I have generated a spline(x) from two arrays (see appendix: red curve) and now I would like to sectionize the curve into segments of equal length (see appendix: blue points). In the end, the coordinates of the blue points are what I am actually looking for.

Appendix: http://i.imgur.com/nQl8QC1.jpg

PS: If somebody can help me I can draw you something in paint :)

[Zhang lu]

Hi

X=min(x):(max(x)-min(x))/100:max(x); Y=spline(x,y,X); plot(x,y,'*b',X,Y,'-r')

[Ben]

Thank you Zhang lu for commenting on my question! But how I understand you just divided the x-axis into equal segments and evaluated the spline (function) for each value. But this does not result in equal curvesegment lengths!

[José-Luis]

What have you tried so far? Is this homework? If you want to do it numerically, a hint would be to do a double interpolation. First over the cumulative distances of the spline and the x coordinates of the spline (to find your x coordinates) then over the x and y coordinates of the spline to find your y coordinates.

If you want to do it analytically, then you would need to calculate the arc length first.

Answer 1

[Mat Lic]

You may use this function

https://de.mathworks.com/matlabcentral/fileexchange/34874-interparc

[Ege Erdem]

Thanks man it really helped a lot.

Literally almost wasted a day trying to find the spline fitting function using finite sums and stuff.