Affine Transformations

Visualizing 2D linear transformations. Red = î (i-hat), Green = ĵ (j-hat)

Shape X-Axis Y-Axis

Quick Presets


Transformation Matrix

SCALE X (A)
SKEW X (C)
TRANS X (TX)
SKEW Y (B)
SCALE Y (D)
TRANS Y (TY)

PARAMETERS

🔄 Linear Transformation

1.00
0.00
0.00
1.00

↔️ Translation

0.00
0.00

Tip:

Rotation combines Scale & Skew. For θ rotation:
a = cos(θ), b = sin(θ)
c = -sin(θ), d = cos(θ)