We can denote shearing with ‘SHx,’ ‘SHy,’ and ‘SHz.These ‘SHx,’ ‘SHy,’ ‘SHzare called “Shearing factor.”

The basic difference between 2D and 3D Shearing is that the 3D plane also includes the z-axis.

3D Shearing
2

We can perform shearing on the object by following three ways-

  1. Shearing along the x-axis: In this, wecan store the x coordinate and only change the y and z coordinate.

We can represent shearing along x-axis by the following equation-

x1 = x0

y1 = y0 + SHy. x0

z1 = z0 + SHz. x0

3D Shearing Matrix:

3D Shearing3

2. Shearing along the y-axis: In this, wecan store the y coordinate and only change the x and z coordinate.

We can represent shearing along with y-axis by the following equation-

x1 = x0 + SHx. y0

y1 = y0

z1 = z0 + SHz. y0

3D Shearing Matrix:

3D Shearing4

3. Shearing along with z-axis: In this, wecan store the z coordinate and only change the x and y coordinate.

We can represent shearing along with z-axis by the following equation-

x1 = x0 + SHx. z0

y1 = y0 + SHy. Z­0

z1 = z0

3D Shearing Matrix:

3D Shearing5

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