Shear transformations produce a shape distortion.

(old coordinates are (x, y) and the new coordinates are (x', y'))

X-Direction Shear is given by the following matrix:

(1 0 0) (SHx 1 0) (0 0 1) ( 1 0 0) (x' y' 1) = ( x y 1) * (SHx 1 0) ( 0 0 1) Which produces a shearing along x that is proportional to y: x' = x + SHx * y y' = y 1 = 1

Y-Direction Shear is given by the following matrix:

(1 SHy 0) (0 1 0) (0 0 1) (1 SHy 0) (x' y' 1) = ( x y 1) * (0 1 0) (0 0 1) Which produces a shearing along y that is proportional to x: x' = x y' = x * SHy + y 1=1

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