Tuesday, November 17, 2015

BASIC TWO-DIMENSIONAL GEOMETRIC TRANSFORMATIONS



Operations that are applied to the geometric description of an object to change its position, orientation, or size are called geometric transformations. Geometric transformations can be used to describe how objects might move around in a scene during an animation sequence or simply to view them from another angle
Geometric transformations
1.      Translation
2.      Rotation
3.      Scaling
4.      Reflection
5.      shearing.

Two-Dimensional Rotation
1.      We generate a rotation transformation of an object by specifying a rotation axis and a rotation angle.
2.      A two-dimensional rotation of an object is obtained by repositioning the object along a circular path in the xy plane.
3.      Parameters for the two-dimensional rotation are
–The rotation angle θ
–A position (x,y) – rotation point (pivot point)


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