How do I adjust the corners of my surface fit using a custom equation to better fit my data ?

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Matthew Nargol 2018-4-7

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https://ww2.mathworks.cn/matlabcentral/answers/393300-how-do-i-adjust-the-corners-of-my-surface-fit-using-a-custom-equation-to-better-fit-my-data

关闭： MATLAB Answer Bot 2021-8-20

I am trying to fit a custom equation approximating a hemispheroid to my data, however the corner points seem to stray far from my data as you can see from the attached 3Dplot:

As you can see some of the corners a further from the model than others?

The custom equation i used is: z=a*x^2 + b*x*y + c*y^2 + d*x +e*y+f how can i adjust the parameters of this equation to better fit my data ?

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Star Strider 2018-4-7

The only option I can suggest is to add a ‘weighting’ vector, and ‘weight’ the corners more heavily than the centre.

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