Complete Maya Programming Volume II

4.3 Orientation Representations

47

Rotations around the Y axis are performed using

x'= z sin((b) + x cos((b)

y'=y

z'= z cos((b) -- x sin((b)

4.3

ORIENTATION REPRESENTATIONS

Now that you have an understanding of what rotations involve, let's examine the

various possible orientation representations. An orientation is a way of defining the

way an object is angled relative to a given coordinate system.

4.3.1

EULER ANGLES

With Euler angles, an orientation is defined by three angles

(rx, ry,

and rz) relative to

the standard axes X, Y, and Z. The three angles are also referred to as

roll, pitch,

and

yaw.

The order ...