Datasheet

Part 1: Getting Started

3D Rotation

To rotate x, y, z points in 3D space you use the following equations:

xnew = xold*cos(angleZ) - yold*sin(angleZ)

ynew = xold*sin(angleZ) + yold*cos(angleZ)

xnew = xold*cos(angleY) - zold*sin(angleY)

znew = xold*sin(angleY) + zold*cos(angleY)

ynew = yold*cos(angleX) - zold*sin(angleX)

znew = yold*sin(angleX) + zold*cos(angleX)

There are actually two ways to rotate elements in Papervision3D; using the preceding matrix equations

or using quaternions. Most 3D engines start with the preceding matrix equations.

Flash 10 Rotation

In Flash 10, rotation around the x, y, and z - axis is clockwise as angle increases. Rotation around the x, y,

and z - axis are accomplished using the

rotationX , rotationY , and rotationZ commands respectively.

Just as in Papervision3D, the rotational values are given in degrees as opposed to radians, which had

been the practice in Flash previously. But when using sine and cosine functions you still use radians

(see Figure 1.9).

X

Y

Y

Z

Z

X

rotationZ

rotationY

rotationX

Figure 1-9

c01.indd 22c01.indd 22 12/14/09 3:03:30 PM12/14/09 3:03:30 PM