Surface Fitting with Custom Equations

2 次查看(过去 30 天)
Hi, I want to fit a surface through data points that I got from a simulation. I calculated a curvature (k) for several combinations of wavelengths (l) and numerical apertures (NA). I know the relation between the curvature and wavelength for constant NA, also between curvature and NA for constant wavelength. The one dimensional fit functions are:
k = a1*NA^(-2) (for one wavelength)
k = b1*l^4 + b2*l^3 + b3*l^2 + b4*l (for one NA)
Now I want to use the Curve Fitting Tool with a custom equation to fit a surface through my data points. Probably a simple question but how can I combine my two fit functions into one function describig the surface? Just combining them like
z=f(x,y)=a1*NA^(-2) + b1*l^4 + b2*l^3 + b3*l^2 + b4*l
didn't work as planned. Thanks!
  3 个评论
Lucas Weissmann
Lucas Weissmann 2023-4-21
Thanks for your advise. I had some success with "griddedInterpolant".
Torsten
Torsten 2023-4-21
Thanks for your advise. I had some success with "griddedInterpolant".
It's just to get an impression how a surface might look and if your data are not too noisy to be fitted. Maybe by looking at the surface you have an idea how a possible surface equation might look.

请先登录,再进行评论。

回答(0 个)

类别

Help CenterFile Exchange 中查找有关 Get Started with Curve Fitting Toolbox 的更多信息

产品


版本

R2020b

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by