Difference between revisions of "Translation"
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{{Navigation|before=[[Transformations]]|overview=[[Transformations]]|next=[[Rotation]]}} | {{Navigation|before=[[Transformations]]|overview=[[Transformations]]|next=[[Rotation]]}} | ||
| + | [File:translation1.png|right|300px] | ||
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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[File:translation1.png|right|300px]
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.
