Question

I have 3 vectors, x, y, z. Three different vectors’ elements represent the position of point in space (e.g. x(1), y(1), z(1) contains info about the first point’s position).

Now I need to realize a 3D representation of the entire set of points, and it should look like this:

Can someone help me? What function will be useful?

Answer 1

You need to create a projection transformation from your 3D world (x,y,z) to your image (X,Y). This may either be a plane projection or a perspective projection.

Once you have the projection you can do something like the following:

1. Find the point that is furthest away from you.
2. Carry out the sequences below for the left and the right branches from the furthest point.

3. For each branch create a polygon out of each of the four points:

   T(x[n],y[n],z[n])

   T(x[n],y[n],0)

   T(x[n+1],y[n+1],0)

   T(x[n+1],y[n+1],z[n+1])

4. Color the polygons by a gradient changing by z to get the effect above.

5. Add a blue line from T(x[n],y[n],z[n]), T(x[n+1],y[n+1],z[n+1])
6. Redo for increasing n until you reach the point “closest” to you.

Hopefully this will get you started.