How do I get the most linear part of a curve?
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Looking for some ideas for solving to get the slope of the most linear part of a non linear curve.
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Image Analyst
le 10 Jan 2018
Over what range? Of course every point of the curve is linear since every point on the curve has a tangent line. So at the very least it can be considered linear at every infinitesimally thin point. And the slope of that line is simply the derivative of your curve/equation. But are you looking for the most linear section over a distance of 2 or 4 or whatever in x?
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Birdman
le 10 Jan 2018
One approach might be taking derivative of your numerical array by diff command, then find the minimum value in that vector and using the index, find the corresponding value in your main array. It should go like:
y=diff(x);
[val,idx]=min(y);
minSlope=x(idx+1)
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Russell Marki
le 7 Sep 2019
I've done something that kind of works.
n is the length of the window as a fraction of the length of input x and y vectors.
An increase to length_weight will increase the value of a longer window.
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