MATLAB: Surface fitting using custom equation

Question

I want to dynamically fit surface to a data sets using matlab SCRIPT NOT GUI SURFACE FIT TOOLBOX…i.e i have matrices for x, y, z. i want to use the a quadratic polynomial of the form z= c1 + c2*x + c3*x^2 + c4*y +c5*y^2 to fit . using the surface fit operation i would like to retrieve these coefficients c1 thru c5. How can i accomplish this using just a matlab script, not the GUI surface fit tool box. I intend to repeat this procedure for lot many number of data sets. I would highly appreciate your help. Thank you ….

Answer 1

There are several files on the FEX for fitting 2D (or higher dimensional) polynomials, e.g.,

http://www.mathworks.com/matlabcentral/fileexchange/34765-polyfitn

http://www.mathworks.com/matlabcentral/fileexchange/13719-2d-weighted-polynomial-fitting-and-evaluation