Calculating a 3D Mean-Trajectory from an Array

Hello,

I have a big Matrix with XYZ entries. The data is from a lasertracker, that tracks a trajectory.

I now want to calculate a mean trajectory from 30 measured trajectories. Is this possible?

My thinking was:

1. Split the matrix in the 30 submatrices (condition: when a point is close enough to the start/endpoint of the trajectory)
2. Create a Trajectory from each submatrix
3. Calculate the Mean Trajectory by adding the Values together and dividing by the number of trajectories

But how do I create a continous trajectory from a Matrix? I haven't found any solutions yet.

Thanks in Advance

Greetings Tom

Answer 1

[Vimal Rathod]

Hi,

You could interpolate the data to create a continuous trajectory from the set of points. You could use curve fitting toolbox for that.

Refer to the following link to generate a smooth 3d path with the 3D mean trajectory matrix.

Constructing Spline Curves in 2D and 3D - MATLAB & Simulink Example (mathworks.com)

“Natural” or periodic interpolating cubic spline curve - MATLAB cscvn (mathworks.com)