3D线性表面

Question

I need to make interpolation and build a linear surface using OpenGL, but I have a problem with algorithm. In my book(Rodgers Computer Graphics) is said that the equation of linear surface is Q(u,w) = P(u,0)(1-w) + P(u,1) * w. But I can`t find a way to use it. How can I do this?

Answer 1

Make a grid and approximate by quads.

Pseudo-code

density = 0.01;
for (a = 0.0; a <= 1.0; a += density) {
    for (b = 0.0; b <= 1.0; b += density) { 
        draw-quad(
                  Q(a,           b), 
                  Q(a + density, b),
                  Q(a + density, b + density),
                  Q(a,           b + density));
    }
}