Lagrange interpolation in 2D?
显示 更早的评论
Hi all,
I'd like to find the interpolating polynomials on a 2d domain.
Imagine we have sample points (x1, y1), ... ,(xn, yn), and values at these points (z1, ..., zn), what is the interpolation polynomials for this 2-dimensional case? Is there a library in MATLAB to do this?
Further more, if the values at these points are matrices (m1, ... , mn), can we interpolate these matrices?
Many thanks!
采纳的回答
John D'Errico
2017-6-19
编辑：John D'Errico
2017-6-19
0 个投票
That you can't find it is a good thing.
Lagrange interpolation is a nice thing for ONE purpose only: to teach students some basic ideas. What those teachers fail to followup with is that it is a bad thing to use when you really need to do interpolation. So then those students go into the world, and try to use it. Worse, then they want to do stuff like use it for 2-d interpolation. Don't do it. The idea has "bad" written all over it.
There are many schemes around for 2-d interpolation/modeling. Use one of them. Start with scatteredInterpolant, or you might use radial basis function interpolation (I recall it being on the FEX), or approximation tools like my gridfit (on the FEX), or neural nets. Or there is Kriging, or use splines.
更多回答（0 个）
类别
在 帮助中心 和 File Exchange 中查找有关 Interpolation 的更多信息
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
Translated by 
