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Computer Graphics 3D Rotation about Arbitrary Axis
Computer Graphics 3D Rotation about Arbitrary Axis with Computer Graphics Tutorial, Line Generation Algorithm, 2D Transformation, 3D Computer Graphics, Types of Curves, Surfaces, Computer Animation, Animation Techniques, Keyframing, Fractals etc.
Rotation about Arbitrary AxisWhen the object is rotated about an axis that is not parallel to any one of co-ordinate axis, i.e., x, y, z. Then additional transformations are required. First of all, alignment is needed, and then the object is being back to the original position. Following steps are required
Matrix for representing three-dimensional rotations about the Z axis
Matrix for representing three-dimensional rotations about the X axis
Matrix for representing three-dimensional rotations about the Y axis
Following figure show the original position of object and position of object after rotation about the x-axis 
5. Apply inverse translation to bring rotation axis to the original position. For such transformations, composite transformations are required. All the above steps are applied on points P' and P".Each step is explained using a separate figure. Step1: Initial position of P' and P"is shown 
Step2: Translate object P' to origin 
Step3: Rotate P" to z axis so that it aligns along the z-axis 
Step4: Rotate about around z- axis 
Step5: Rotate axis to the original position 
Step6: Translate axis to the original position. 
Next TopicInverse Transformations
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