Computer Graphics – 3D Translation Transformation
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 :
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 Dx, Dy, Dz 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 [Dx, Dy, Dz] 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 Dx = 2, Dy = 4, Dz = 6.
Solution : On applying Translation Transformation we get corresponding points –
After performing translation transformation over the Fig.1, it will look like as below –