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How to fit implicit function to data
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I have these data points
data=[0 1
0.355257 0.726061
0.749002 0.382696
1 0
2.401699 -0.9817
3.049682 -1.49588
4.105308 -2.51708
3.419108 -2.79514
1.784289 -2.188
0.763907 -1.56124
0 -1];
I have to fit this implicit function to the data
f = @(x,y) abs(x)^a + abs(y)^b +c*x*y-1
where a,b,c are the three positive parameters to be estimated.
any hints?
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