➡
2D Transformation
Translation
Rotation about Origin
Scaling
Homogeneous Co-ordinates
Translation
Rotation about Origin
Scaling
Composite Transformations
Rotation about Arbitrary Point (xp , yp )
Reflection
Y-Axis
X-Axis
Origin
Reflection about y=x
Reflection about y=-x
Reflection about y=mx+c
Shear
X Shear
Y Shear
Shearing Relative to Other Reference Line
X Shear with y Reference Line
Y Shear with x Reference Line
Inverse Transformation
Translation
2D Transformation 1
, Process of changing position of an object in a straight line path from one coordinate
location to the other.
x′ = x + tx
y ′ = y + ty
Translation pair (tx , ty ) is translation vector or shift vector.
P′ = P + T
x′
[ ′ ] = [ ] + [ x]
x t
y y ty
Rotation about Origin
2D Transformation 2
2D Transformation
Translation
Rotation about Origin
Scaling
Homogeneous Co-ordinates
Translation
Rotation about Origin
Scaling
Composite Transformations
Rotation about Arbitrary Point (xp , yp )
Reflection
Y-Axis
X-Axis
Origin
Reflection about y=x
Reflection about y=-x
Reflection about y=mx+c
Shear
X Shear
Y Shear
Shearing Relative to Other Reference Line
X Shear with y Reference Line
Y Shear with x Reference Line
Inverse Transformation
Translation
2D Transformation 1
, Process of changing position of an object in a straight line path from one coordinate
location to the other.
x′ = x + tx
y ′ = y + ty
Translation pair (tx , ty ) is translation vector or shift vector.
P′ = P + T
x′
[ ′ ] = [ ] + [ x]
x t
y y ty
Rotation about Origin
2D Transformation 2