best way to evaluate a 2d function composed by a summation of functions

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Adriano Filippo Inno
I need to plot this function:
where c is a vector of constants, and each Φ function is a polynomial expasion of the 4+i or 4+j order.
At the moment the functions are saved in two struct (dimensions 1xN and 1xM) such that in each dimention of one structure I have the function handle reletated to the x or the y coordinate.
I'm using the following lines to compute and to plot w :
%...
x = linspace(0,xmax,Nox);
y = linspace(0,ymax,Noy);
W = zeros(Nox,Noy);
for i = 1:N
for j = 1:M
W = W + c(i*j)*(trialx(i).PHI(x))'*(trialy(j).PHI(y));
end
end
figure('Name','Displacement field','NumberTitle','off');
surf(x,y,W','EdgeColor','none'); daspect([100000 100000 1]);
xlabel('x [mm]','Fontsize',16); ylabel('y [mm]','Fontsize',16)
zlabel('y [mm]','Fontsize',16)
All the code is implemented with the symbolic toolbox and I'm struggling to plot w(x,y) with fsurf because I'm not able to write the correct summation of functions.
I need to raise the number of samples, N and M and it is quite slow;
Do you have any suggestions?

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