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# Which are just convenient mechanism for accom-plishing certain goals

ROTATION MATRIX METHODS SUMMARY projections and
in common use. Typically a

The following Gems present a variety of matrix techniques

that

help in various rotation tasks. Matrix methods

IX.2 TRANSFORMING AXES

IX.2

Sometimes an interactive 3D application needs to know roughly which way a set of transformed coordinate axes are pointing on the screen. For example, the application may want to know if the x-axis of a given modeling space is pointing into or out of the screen after the axis undergoes a sequence of modeling and viewing transforms; this could help the application understand the orientation of an object on the screen. Even if the application knows only the net transform for the object, it can still calculate the approximate orientation of the object’s axes quite efficiently.

Solution

[
yin zin 1 ]
a12 a13 a14



= α [ β γ

ω ]

(1)
a22 a23 a24
a32 a33 a34
(2)
a42 a43 a44
xout=α ω, yout=β ω, zout=γ ω.
456
How It Works      