How do I calculate the area of a projection created by the command "view"?

Question

How do I calculate the area of a projection? For example, using the following code, I get a projection on the X-Z plane.

[x,y,z]=peaks;
surf(x,y,z);
xlabel('x');ylabel('y');zlabel('z')
view([0,0])

X-Z Plane Projection

I want to be able to determine the area of the projection of any surf plot that I create. Is there a command or function for this?

Answer 1

Short answer

polyarea(x(1,:),max(z))+polyarea(x(1,:),min(z))

Explanation

The plot you want to calculate its area is,

In area calculation you need only the borders of the projection,

plot(x(1,:),max(z))
hold on
plot(x(1,:),min(z),'r')

and the output is,

The total area is the summation of both areas (upper border to x axis and lower border to x axis),

>> polyarea(x(1,:),max(z))+polyarea(x(1,:),min(z))
>> 28.5947