Difference between revisions of "Translation"
From Robotics
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{{Navigation|before=[[Transformations]]|overview=[[Transformations]]|next=[[Rotation]]}} | {{Navigation|before=[[Transformations]]|overview=[[Transformations]]|next=[[Rotation]]}} | ||
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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/> | ||
| + | :<math> | ||
| + | \vec{\mathbf{p}_t}=\vec{\mathbf{p}}+\vec{\mathbf{t}} | ||
| + | </math> | ||
[[Category:Article]] | [[Category:Article]] | ||
[[Category:Transformations]] | [[Category:Transformations]] | ||
Revision as of 10:31, 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:
