Fitting an Asphere to a set of 3D point cloud data

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Feri
Feri 2020-3-16
编辑： Feri 2020-3-26
Hello,
I have a set of X, Y, Z values that form an "asphere", the formula for this asphere is as follows:
R = -353.5;
k = -1.0;
c = 1/R;
Form =@(x, y, k, c) c*((x-x0).^2+(y-y0).^2) ./(1+sqrt(1-(1+k)*c^2*((x-x0).^2+(y-y0).^2))); % x0, y0 coordinates of the center of the asphere
My qustion is: how can I use MATLAB cftool (or any other way) to fit an asphere made with the above formula to the 3D data (X, Y, Z) to obtain the minimum residual.
Any help is much appreciated.

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回答（1 个）

darova
darova 2020-3-16
I tried usual paraboloid
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Feri
Feri 2020-3-17
Darova I really appreciate your help but I still don’t have the answer to my question.
The residual should be a flat plane.

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