Translation

← Back: Transformations

Overview: Transformations

Next: Rotation →

Translation is the easiest kind of transformation. Translating a point $p$ means that it is shifted by a translation vector. So the translation vector $\vec{\mathbf{t}}$ is added to the position vector $\vec{\mathbf{p}}$ of $p$. The position vector $\vec{\mathbf{p}_t}$ of the resulting transformed point $p_t$ is calculated as follows:

$\vec{\mathbf{p}_t}=\vec{\mathbf{p}}+\vec{\mathbf{t}}$

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