What do I do to fit a surface to given data points in MATLAB?
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Does someone here know any command in MATLAB that adjusts a set of points and give me the equation of the surface found?
This is similar to command polyfit but I want for a surface, not a curve.
回答（4 个）
Gareth Thomas
2011-8-31
Hi Danilo,
Try using the curve fitting toolbox.
Here is the link to:
load franke
f = fit( [x, y], z, 'poly23' )
plot(f, [x,y], z)
Gives the nice answer of:
Linear model Poly23:
f(x,y) = p00 + p10*x + p01*y + p20*x^2 + p11*x*y + p02*y^2 + p21*x^2*y +
p12*x*y^2 + p03*y^3
Coefficients (with 95% confidence bounds):
p00 = 1.118 (0.9149, 1.321)
p10 = -0.0002941 (-0.000502, -8.623e-005)
p01 = 1.533 (0.7032, 2.364)
p20 = -1.966e-008 (-7.084e-008, 3.152e-008)
p11 = 0.0003427 (-0.0001009, 0.0007863)
p02 = -6.951 (-8.421, -5.481)
p21 = 9.563e-008 (6.276e-009, 1.85e-007)
p12 = -0.0004401 (-0.0007082, -0.0001721)
p03 = 4.999 (4.082, 5.917)
I hope that this helps you.
Gareth
dave
2012-6-4
I have the same problem of Danilo. I'm trying your solution, but entering
load franke
There is this error:
Error using ==> load
Unable to read file franke: No such file or directory
Maybe it is due to the absence of the file. Where can I find franke's database file or are there other solutions?
Thanks!
Dave
Image Analyst
2012-6-4
0 个投票
Kengo Nishi
2020-7-24
0 个投票
It seems that we need to install the curve fitting toolbox.
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