Difference between revisions of "Translation"
From Robotics
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[[File:translation1.png|right|250px]] | [[File:translation1.png|right|250px]] | ||
| − | Translation is the easiest kind of transformation. Translating a point <math> | + | Translation is the easiest kind of transformation. Translating a point <math>q_0</math> means that it is shifted by a translation vector. So the translation vector <math>\vec{\mathbf{p}}</math> is added to the position vector <math>\vec{\mathbf{q}}_0</math> of <math>q_0</math>. The position vector <math>\vec{\mathbf{q}}_1</math> of the resulting transformed point <math>q_1</math> is calculated as follows:<br/> |
:<math> | :<math> | ||
| − | \vec{\mathbf{ | + | \vec{\mathbf{q}}_1=\vec{\mathbf{q}}_0+\vec{\mathbf{p}} |
</math> | </math> | ||
For further information about vector addition and examples, please have a look at the article about [[Simple arithmetic operations|simple arithmetic vector operations]]. | For further information about vector addition and examples, please have a look at the article about [[Simple arithmetic operations|simple arithmetic vector operations]]. | ||
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[[Category:Article]] | [[Category:Article]] | ||
[[Category:Transformations]] | [[Category:Transformations]] | ||
Revision as of 16:48, 26 May 2014
| ← Back: Transformations | Overview: Transformations | Next: Rotation → |
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.
