Calculating arc length of a curve

I have the trajectory for an object moving on a plane as shown in the figure. Can any one give me an idea to calculate the arc length of this curve? Sample data along with the trajectory plot is attached.

Answer 1

[Torsten]

Use Pythagoras' theorem:

n = numel(x);
length = 0.0;
for i = 1:n-1
  length = length + sqrt( (x(i+1)-x(i))^2 + (y(i+1)-y(i))^2 );
end

[Hari krishnan]

@ Torsten. Thank you very much. I would like to ask one more question. If i want to calculate the sinusoidity of this trajectory. Can i divide this arc length to the straight line distance between the initial and the final point in the trajectories?

[madhan ravi]

+1

[Torsten]

How do you define "sinusoidity" ?

[Hari krishnan]

If i want to find out how tortous tis trajectory is, what i thought was to find the arc length and then divide this by the eucledian distance between the initial and final point. This is how i was thinking about sinusoidity

[Torsten]

https://en.wikipedia.org/wiki/Curvature

[Hari krishnan]

@ Torsten, I have seen this before. This is to calculate how curvous the trajectory or line is. But what i want to see is how tortous the trajectory is, which can be calculated as the arc length divided by the eucledian distance between the initial and final set of points.