Difference between revisions of "Translation"

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[[File:translation1.png|right|250px]]
 
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Revision as of 16:38, 26 May 2014

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Translation1.png

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.

An alternative way to describe a translation is the matrix notation.