If you're looking for a way on how to implement the math behind the 
transformations, take a look at the AffineTransform and methods such as shear, 
rotate and scale. The implementation is direct translations of the usual affine 
equations [1] to plain Java code. 

To create a new AffineTransform, call getMatrix on an existing one, compute the 
new elements and use the 6-parameter constructor.

All of this and more can be seen in the source distribution of your JDK 
installation (available in the src.zip).

[1] http://mathworld.wolfram.com/AffineTransformation.html
[Message sent by forum member 'kirillcool' (kirillcool)]

http://forums.java.net/jive/thread.jspa?messageID=317519

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