I have a set of data that contains ~7800 data points (the red curve in the figure). I have reduced the number of data points with downsample() to 19 data points (blue curve). However, I would like to position the points more "intelligently". Is there a function in Matlab where the points are placed with some kind of least square minimization/adaptive spacing? The data is currently stored in a struct (data.Stress and data.Strain).
The number of data points must be possible to fix by the user (e.g. =19 in this case).
The most important part of the curve is the beginning, but I think that a general minimization would give a good enough result.
Adding a point between the first and second point and remoing one point where the curve is more or less linear would give a good-enough result. But modifying the curve manually isn't so attractive as there are quite a few curves to process.