Tuesday, March 3, 2020

2D Transformations in Computer Graphics


        2D Transformations


     Definition: 2D Transformation modifies the coordinates of object to change the orientation, size or shape of the object.

    In 2D (2- Dimensional) transformation we are using two axes i.e.  X- axis and Y-axis to represent object. Any point on 2D plane is represented as A (x1, y1) where x1 is distance from origin on X-axis and y1 is distance from origin.as shown in figure below.


      Different 2D Transformations:
   a. Translation: Changing position of object from one place to other.
   b. Rotation: Angular displacement of object with some angle (ϴ)
   c. Scaling: Increasing or decreasing size of object.
   d. Reflection: Mirror image of the object.
   e. Shear: Deformation/Slanting in the shape of the object.


2D transformations can be broadly divided into Active and Passive type of Transformations.Those transformations are called active in which shape of object changed. In passive transformation shape of object will remain unchanged after operation.

Scaling and Shear are active 2D transformations while  Translation, Rotation and Reflection are passive 2D transformations.