3-D Transformation :
3-D Transformation is the process of manipulating the view of a three-D object with respect to its original position by modifying its physical attributes through various methods of transformation like Translation, Scaling, Rotation, Shear, etc.

Properties of 3-D Transformation :

• Lines are preserved,
• Parallelism is preserved,
• Proportional distances are preserved.

Types of Transformations :

1. Translation
2. Scaling
3. Rotation
4. Shear
5. Reflection

Translation :
It is the process of changing the relative location of a 3-D object with respect to the original position by changing its coordinates. Translation transformation matrix in the 3-D image is shown as –

Where D_x, D_y, D_z are the Translation distances, let a point in 3D space is P(x, y, z) over which we want to apply Translation Transformation operation and we are given with translation distance [D_x, D_y, D_z] So, new position of the point after applying translation operation would be –

Problem : Perform translation transformation on the following figure where the given translation distances are D_x = 2, D_y = 4, D_z = 6.

Solution : On applying Translation Transformation we get corresponding points –

Fig.1

After performing translation transformation over the Fig.1, it will look like as below –

Fig.2

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