# Translation

From Robotics

← Back: Transformations |
Overview: Transformations |
Next: Rotation → |

Translation is the easiest kind of transformation. Translating a point means that it is shifted by a translation vector. So the translation vector is added to the position vector of . The position vector of the resulting transformed point is calculated as follows:

The figure on the right shows an example in two-dimensional space. In robotics usually three dimensions are regarded. Considering the particular components of the vectors, a translation looks as follows:

For further information about vector addition and examples, please have a look at the article about simple arithmetic vector operations.