Difference between revisions of "Translation"
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Translation is the easiest kind of transformation. Translating a point <math>p</math> means that it is shifted by a translation vector. So the translation vector <math>\vec{\mathbf{t}}</math> is added to the position vector <math>\vec{\mathbf{p}}</math> of <math>p</math>. The position vector <math>\vec{\mathbf{p}_t}</math> of the resulting transformed point <math>p_t</math> is calculated as follows:<br/> | Translation is the easiest kind of transformation. Translating a point <math>p</math> means that it is shifted by a translation vector. So the translation vector <math>\vec{\mathbf{t}}</math> is added to the position vector <math>\vec{\mathbf{p}}</math> of <math>p</math>. The position vector <math>\vec{\mathbf{p}_t}</math> of the resulting transformed point <math>p_t</math> is calculated as follows:<br/> | ||
:<math> | :<math> |
Revision as of 11:09, 26 May 2014
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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:
For further information about vector addition and examples, please have a look at the article about simple arithmetic vector operations.