enter image description here In this first picture, the line represents the velocity change during the taking off period of the plane. I want to smooth this curve and replace it with straight lines and then to identify the trend of every section.
In this second picture, I draw what I want to get and replace all this signal into several straight lines.
What I have tried: 1 Smoothing technique : Savgol_filter; Gaussian filter Python model tsmoothie 2 Line simplification algos Ramer-Douglas-Peucker algorithm
However, it is hard to find a appropriate parameter to identify all the time series. (This means to define the rise,flat and fall period) However this change of velocity has a pattern to follow: normally it gets two or three platforms.
I don't know if there exists some paper or algorithm to handle this kind of problem
Here are other examples of time series to model enter image description here
