if you are interested in the 1d problem, you might also consider a
spline fit of order 1, for example with scipy.interpolate, see [1].

Cheers
Klaus


[1]
https://docs.scipy.org/doc/scipy/reference/tutorial/interpolate.html#spline-interpolation-in-1-d-procedural-interpolate-splxxx

On 03/06/2021 13:12, Mark Bakker wrote:
> My students are using this and seem to like it:
>
> https://jekel.me/piecewise_linear_fit_py/about.html
> <https://jekel.me/piecewise_linear_fit_py/about.html>
>  
>
>     Date: Tue, 1 Jun 2021 17:22:52 -0700
>     From: Chris Barker <chris.barker@noaa.gov
>     <mailto:chris.barker@noaa.gov>>
>     To: Discussion of Numerical Python <numpy-discussion@python.org
>     <mailto:numpy-discussion@python.org>>
>     Subject: [Numpy-discussion] Best fit linear piecewise function?
>     Message-ID:
>            
>     <CALGmxELHB3MUT=i58WZ0dL_292GvntmFRte88ik98h2NqT1YJw@mail.gmail.com
>     <mailto:i58WZ0dL_292GvntmFRte88ik98h2NqT1YJw@mail.gmail.com>>
>     Content-Type: text/plain; charset="utf-8"
>
>     Do any of you know of code for finding an optimum linear piecewise
>     fit to a
>     set of points?
>
>     Somethin like what is described in this article:
>
>     https://www.hindawi.com/journals/mpe/2015/876862/
>     <https://www.hindawi.com/journals/mpe/2015/876862/>
>
>     At a glance, that looked just hard enough to code up that I'm hoping
>     someone has already done it :-)
>
>     -CHB
>
>
>     --
>
>     Christopher Barker, Ph.D.
>     Oceanographer
>
>     Emergency Response Division
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>     Chris.Barker@noaa.gov <mailto:Chris.Barker@noaa.gov>
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