Question

Suppose I have a cube as

P1(0, 0, 0) P5(0, 0, 1)
P2(1, 0, 0) P6(1, 0, 1)
P3(0, 1, 0) P7(0, 1, 1)
P4(1, 1, 0) P8(1, 1, 1)

Now I need to apply transformation/rotation/scale matrices. Say,

transform = Pt(3, 3, 5)
rotation = 30º
scale = 2x`

Ok. But, where do I put each of these values into the matrices in order to get the final result? That confuses me alot.

edit

Lets say, for the P2, I have:

| 1 |   | a b c |
| 0 | x | d e f | = R
| 0 |   | g h i |

But what do I have in a,b,c,d,...i ?

Answer 1

To do it with a single operation you need a 4×4 matrix. Look at http://www.engineering.uiowa.edu/~ie_246/Lecture/OpenGLMatrices.ppt for some details and examples.

In the end you chain the transformations like this

point[i] = T1*T2*T3*..*vertex[i]