Curve fitting: Dividing spline into segments of equal length

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Ben 2013-5-2

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https://ww2.mathworks.cn/matlabcentral/answers/74354-curve-fitting-dividing-spline-into-segments-of-equal-length

编辑： Ege Erdem 2021-3-28

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 :)

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Ben 2013-5-2

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 2013-5-2

编辑：José-Luis 2013-5-2

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.

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