On-Line Computer Graphics Notes
ROTATI0N

Overview

Rotations are complex transformations. The primary complexity is that in three-dimensions, rotations are performed about an axis - usually specified by a point and a vector direction. The general idea is to develop this transformation about the three coordinate axes of a frame, and then generalize this to be able to rotate about a general axis in the frame. The general idea for the matrix comes from rotation about a point in two-dimensions.

• Development of the rotation matrix in two-dimensions
• Rotation about the X-Axis in the Cartesian frame
• Rotation about the Y-Axis in the Cartesian frame
• Rotation about the Z-Axis in the Cartesian frame
• Rotation about an arbitrary axis

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