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Strange curve fitting with large polynomial degrees when using polyfit

조회 수: 2(최근 30일)
More Sa
More Sa 2021년 5월 13일
답변: Star Strider 2021년 5월 13일
I'm trying to fit a curve to my points by using polyfit, I'm getting normal results for small polynomial degrees, but when i want to use polyfit for bigger polynomial degrees, I get strange results.
This is what I get when for degree of 10:
It's okay and its normal, but when I use polyfit for the degree of 100, I get strange results for the starting points and the ending points:
What's the reason for this strange behavior? How can i fix this?

답변(1개)

Star Strider
Star Strider 2021년 5월 13일
As a general rule, a polynomial fit with a degree grater than 7 is likely not appropriate, so a 100 degree polynomial is giving the expected result, with ‘ringing’ at the extremes.
It would appear that fitting a sine curve to the data would be appropriate. One approach to that is described in Curve fitting to a sinusoidal function. The one change I would make in that code is to replace the ‘zci’ fundtion with this one:
zci = @(x) find(diff(sign(x)));
It is more robust, and does not have the ‘end effect’ my original function does.

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