Basic 2D Transformations

• Translation:

  • x’ = x + tx
  • y’ = y + ty

• Scale:

  • x’ = x * sx
  • y’ = y * sy

• Shear:

  • x’ = x + hx*y
  • y’ = y + hy*x

• Rotation:

  • x’ = x*cosQ - y*sinQ
  • y’ = x*sinQ + y*cosQ

x’ = ((x*sx)*cosQ - (y*sy)*sinQ) + tx

y’ = ((x*sx)*sinQ + (y*sy)*cosQ) + ty

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