Averaging fluctuating curves in a single one

Question

Hazem Al-Bulqini 2020-9-16

回答： Image Analyst 2020-9-16

I have these curves as results from different cases.

I want to make an average curve around which these curves fluctuate to express the whole data in a single average curve. How?

dpb 2020-9-16

Use mean() over proper dimension depending on whether are stored by row or column...

Answer 1

Image Analyst 2020-9-16

Assuming they all have values at the same set of x coordinates, just average them:

yMean = (y1+y2+y3+y4+y5+y6+y7+y8+y9) / 9;

or if they're row vectors:

yMean = mean([y1;y2;y3;y4;y5;y6;y7;y8;y9], 1);

If they're column vectors, use commas and 2:

yMean = mean([y1,y2,y3,y4,y5,y6,y7,y8,y9], 2);

If the curves have different x vectors, then you'll have to interpolate them using a common set of x values

x = unique([x1(:);x2(:);x3(:);x4(:);x5(:);x6(:);x7(:);x8(:);x9(:)]);
y1 = interp1(x1(:), y1(:), x(:)); % y1 will be a column vector.

That should work for both row vectors or column vectors. Repeat for the other data vectors.