How to perfom this fitting in matlab

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uday
uday 2018-7-21
编辑： dpb 2018-7-21
How to code this in matlab for least square fitting
f(i,j)= ai^2 + bj^2 + cij + di + ej + f ,
similar to this
% fitting a plane by least squares method
function rr = plane1(x,y,z)
m1 = length(x);
n1 = length(y);
a11 = n1*x'*x; a12 = sum(sum(x*y')); a13 = n1*sum(x);
a21 = a12; a22 = m1*y'*y; a23 = m1*sum(y);
a31 = a13; a32 = a23; a33 = m1*n1;
A = [a11 a12 a13;a21 a22 a23;a31 a32 a33];
for i = 1:m1
k1(i) = sum(x(i)*z(i,:));
end
b1 = sum(k1);
for j =1:n1
k2(j) = sum(y(j)*z(:,j));
end
b2 = sum(k2);
b3 = sum(sum(z));
B = [b1 b2 b3]';
coff = A\B;
a = coff(1);b = coff(2);c = coff(3);
for i = 1:m1
for j = 1:n1
z0(i,j) = a*x(i)+b*y(j)+c;
end
end
rr = z-z0;true
end

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