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3D Primitive and Composite Transformations
Previously you have studied and implemented 2D geometric transformations for object definitions in two dimensions. These transformations can be extended to 3D objects by including considerations for the z coordinate. In this unit, you will study certain methods to implement such transformations.
You must have noticed here that the translation is as simple as in 2D. Rotation however requires a little more effort in 3D. Standard rotations about three coordinate axes are simpler to perform. In order to apply rotation about an arbitrary axis, you need to have a composite transformation while scaling, shear and reflections are generalized to 3D in a natural way.
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Suppose P be the point object along with the coordinate (x,y,z). We want to translate such object point to the new position as, P'(x',y',z') through the translation Vector as V=t x
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