Ok. I am revising my previous question. I have two matrices that have the X and Y coordinates of a trajectory.
X= [ 0 1.1 1.9 2.6 3.01 4.56 5.04]
Y= [ 0 -0.013 0.008 0.008 -0.002 0.034 0.08]
So the trajectory comprises of 7 points and 6 segments. The length of each subsegment is given by the following matrix. The length is calculated by the distance formula
S=[ 1.1001 0.8003 0.7 0.4101 1.5504 0.4822]
The sum of all these subsegments equals sum(S)=5.0431. This is the length of my trajectory. To do further analysis, I want all my trajectories to have the same length (say 5 in this case). I want to interpolate the last point so that it falls on the trajectory and allows the trajectory to have a predefined length. Only the last point should be interpolated.
So my final output should look like this
X= [ 0 1.1 1.9 2.6 3.01 4.56 Xi]
Y= [ 0 -0.013 0.008 0.008 -0.002 0.034 Yi]
I need to find Xi and Yi using interpolation (interp1 probably) so that sum(S) becomes 5.
Can anyone help me write a code for this.