How can i divide intervals into n sub-intervals of equal distance in order to interpolate by using spline?

Hy everyone,

My goal is to interpolate, by using spline, the six points reported in Figure 1.

However i was wondering if it was possible to divide, each interval (for example the interval between the point 1 and point 2) in n equidistant sub-intervals by creating other points and after interpolate to obtain Fig 2.

I dont know if it is possible creating the sub-intervals before performing the spline interpolation or after the interpolation.

Any help would be appreciated

Thank You

Lorenzo

FIG. 1

FIG. 2

[J. Alex Lee]

as far as i can see, your question boils down to: can you interpolate between the points before you interpolate them? so the answer is no...once you obtain the spline fit, then sure, find points that are on the spline that satisfy whatever criteria you want regarding equidistance to adjacent points...shortest distance, distance along the path, etc.

you can of course find the midpoint between each pair of points to get more of a hexagon-like set of points, but then the interpolant wouldn't look the same...

[Walter Roberson]

https://www.mathworks.com/matlabcentral/fileexchange/34874-interparc might help

[Lorenzo Bennati]

thanks you both for your help

Lorenzo

Answer 1

[Image Analyst]

See attached demo.