Module 3: 2D Geometric Transformations
Que: Explain 2D Transformations in detail.
•Definition:
Transformation alters the
coordinates of object to change the orientation, size or shape of the object.
•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.
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.
Que: Prove that
i) Successive Translation is additive.
ii) Successive Rotation is additive
iii) Successive Scaling is multiplicative
Que: Derive a composite matrix for Rotation about Pivot Point.
