Simultaneously fit multiple datasets

Hi, I know that there is different solution on this topic out there but none that I have found helpful. Hence, my question is how to I fit several data sets simultaneously?

I have vectors x1, y1 and z1 which corresponds to several points (x,y,z). I have several of these vectors i.e. (x2,y2,z2), (x3,y3,z3) and so on. Each of these sets corresponds to points on a line along a surface. My objective is to fit all of this points so that I could get an analytical expression of the surface. Hence, I need to figure out how one would fit multiple sets of data at the same time.

Answer 1

[Vandana Ravichandran]

You can combine the multiple dataset vectors into a single large dataset [X Y Z] where X = [x1 x2 ..] Y = [y1 y2 ..] and so on. You can use the "fit" function from the Curve Fitting Toolbox to fit a surface to your data based on a model type. Refer this page from documentation for more on "fit":

https://www.mathworks.com/help/curvefit/fit.html#inputarg_fitType