ROTATION IS ONE AMONG THE THREE DIMENSIONAL TRANSFORMATIONS.
ROTATION:
THREE DIMENSIONAL ROTATION TRANSFORMATION HAVE MORE COMPLEXITY THAN TWO DIMENSIONAL ROTATION TRANSFORMATIONS. WE MUST DETERMINE A THREE DIMENSIONAL AXIS ABOUT WHICH TO ROTATE .AS IN TWO DIMENSIONS, TE SIMPLEST FORM OF THE TRANSFORMATION OCCURS WHEN THE AXIS PASSES THROUGH THE ORIGIN AND IS ALIGNED WITH A COORDINATE AXIS.
TO ROTATE ABOUT AN ARBITARY POINT WE MUST CONCATENATE THREE TRANSFORMATIONS: THE FIRST TRANSLATES THE POINT TO THE ORIGIN, THE SECOND PERFORMS THE ROTATION, AND THE THIRD TRANSLATES THE ORIGIN BACK. TO COMPLICATE MATTERS FURTHER ,WE MUST COPE WITH AXES OF ROTATION THAT ARE NOT ALIGNED WIH THE COORDINATE AXES. IN THESE CASES , WE CAN CONCATENATE TWO OR THREE PRIMITIVE ROTATION TRANSFORMATION TO FORM A MATRIX THAT PERFORMS ROTATION ABOUT THE DESIRED AXIS.
IN THREE DIMENSIONS,IT IS HELPFUL TO DEVISE TRANSFORMATIONS FOR ROTATION ABOUT EACH OF THE THREE COORDINATE AXES.
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