find an equation for the set of coordinates

I have the above plot with a different set of coordinates for each object(labeled by different colors). I was wondering if there was a way to find an approximate equation for each object in matlab.
I was thinking about smoothing out the "rougher" parts to make it easier but I'm not sure how to go about doing that. any ideas?
thanks

回答(2 个)

How about just taking the average of the coordinates
windowWidth = 5;
newx = conv(x, ones(1, windowWidth)/windowWidth, 'same');
newy = conv(y, ones(1, windowWidth)/windowWidth, 'same');

4 个评论

and then using polyfit?
Huh? Why? conv2() is already like doing a polyfit of order 1 (a line). If you want higher order for less smoothing, use a Savitzky-Golay filter, sgolayfilt() in the Signal Processing Toolbox.
Perhaps increasing sampling and getting a smoother curve via splines would interest you. See attached demo.
hi sorry, i noticed you put conv() in the e.g. and then said that conv2() is a polyfit of order 1.
Sorry - I usually use conv2(), which is for 2D arrays (images). For a 1-D signal, you'd use conv().

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I would use cftool, easier to play around with different fits, and not confined to polynomials.

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2014-8-12

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