Normalization of poly22 fitsurface

Hello everyone,

I hope someone could help me. I would like to find a way to normalize poly22.

I have a set of X,Y,Z points in space, and I used fs poly22 to fit them with a surface.

This is my code:

X = [0.1; 0.05; 0.5; 0.5; 0.05; 0.4];

Y = [2.8; 5.5; 5.5; 1.4; 1.4; 2];

Z = [0.9; 0.3; 0; 0.2; 0.6; 1];

%plotting data and fitsurface

plot3(X,Y,Z,'or');

fs=fit([X,Y],Z, 'poly22','Normalize','on');

plot(fs, [X,Y],Z)

Linear model Poly22:

fs1(x,y) = p00 + p10*x + p01*y + p20*x^2 + p11*x*y + p02*y^2

where x is normalized by mean 0.2933 and std 0.2741

and where y is normalized by mean 2.683 and std 1.946

Coefficients:

p00 = 1.076

p10 = -0.01815

p01 = 0.08533

p20 = -0.5503

p11 = -0.07016

p02 = -0.2431

I would like my surface to be contained in a cube of edges 0-1 in the three directions, is there a way to do it?

Thank you very much for your help!

Kind Regards,

Laura