non linear curve fitting for scatter points

hi...i have some scatter points in x-y coordinate.how can do curve fitting for them? please help me.its very necessary for me.

Answer 1

[Image Analyst]

When you say "non-linear" do you really mean nonlinear in x? Or do you mean just a regular polynomial, which can be, say a cubic, which can be solved with regular linear least squares like polyfit() gives you? You can have a fit that's not a straight line and it's still linear least squares because it's linear in the coefficients, not the x terms. I attach a demo for you that uses polyfit().

[fereshte]

i want get best curve fitting for my points like attached file then get coefficients form this curve.i think gussian is very good for this.in attached file blue points are my points and red curve is fitted curve.

[Image Analyst]

I'm not familiar with finding mixtures of Gaussians. See Wikipedia article http://en.wikipedia.org/wiki/Mixture_density to get started.

[fereshte]

thanks.dear Image Analyst how use cubic fit for my points?