How to plot a 3D figure in matlab based on a function like f(x,y,z)=0?

Question

How to plot a 3D figure in MATLAB based on a function like f(x,y,z)=0 ? And this complicated function can not be written as z = f(x,y) .

f(x,y,z)=sum(a.*exp(sv(:,1)-x).^2+sv(:,2)-y).^2+sv(:,3)-z).^2)-b=0

where a is a known vector, sv is a known matrix, b is a known value. x,y,z are three variables. How to draw this surface in 3D way in matlab?

Answer 1

I just solve this question by this tool from the Matlab File Exchange:
Ezimplot3: implicit 3D functions plotter

Answer 2

your function only contains 1D vectors( I am assuming they are of equal lengths), if summed it will give you a constant; therefore, there is really nothing to plot.