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Unit 8: 3-D in Computer Graphics

The various 3-D transformations that are discussed next are the following:
1. Translation
2. Scaling
3. Rotation

These are some of the basic 3-D transformations.
8.2.1 Translation
Translation is the method of changing the location of an object that is placed on a straight line from one
coordinate position to another. Translation distances, D x, D y and D Z are added in case of moving a three
dimensional point from (x, y, z) to any point (x’, y’, z’). The same is depicted in figure 8.8.

Figure 8.8 : 3-D Translation

In order to achieve a translation transformation within a 3-D space we make use of the transformation
matrix:

Notice the use of the symbol T followed by (x, y, z) to denote a matrix responsible for translation (in the
x, y and z directions). This provides a concise way of referring to a matrix of this form.

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