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How to calculate the length of a curve with known coordinates (x,y)?

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albert WAN
albert WAN 2023-8-16
回答： Stephen23 2023-8-16
How to calculate the length of a curve with known coordinates (x,y)? using Excel and matlab is OK.

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回答（2 个）

Sam Chak
Sam Chak 2023-8-16
Hi @albert WAN
If you are referring to the arclength calculation, then refer to the following
https://www.mathworks.com/matlabcentral/answers/430762-calculating-arc-length-of-a-curve
https://en.wikipedia.org/wiki/Curvature#In_terms_of_arc-length_parametrization
https://en.wikipedia.org/wiki/Arc_length#Finding_arc_lengths_by_integration
On the 2-D plane, the arc length can be calculated by this formula:
provided that there are sufficient sample points to accurately obtain .
Stephen23
Stephen23 2023-8-16
The simplest approach is to download John D'Errico's excellent ARCLENGTH function:
https://www.mathworks.com/matlabcentral/fileexchange/34871-arclength

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