Difference between revisions of "Template:Important topics"
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'''[[Transformations]]'''<br> | '''[[Transformations]]'''<br> | ||
In this article general transformations used in the context of robotics and the underlying mathematics are described. The two basic types of transformation are [[Translation|translation]] and [[Rotation|rotation]]. To be able to apply all types of transformations by matrix multiplication, [[Homogeneous coordinates|homogeneous coordinates]] are introduced. Based on the two basic transformations, [[Combinations of transformations|combinations of transformations]] are possible. Additionaly a special matrix inversion method is presented for [[Inverse transformation|inverse transformation]]. | In this article general transformations used in the context of robotics and the underlying mathematics are described. The two basic types of transformation are [[Translation|translation]] and [[Rotation|rotation]]. To be able to apply all types of transformations by matrix multiplication, [[Homogeneous coordinates|homogeneous coordinates]] are introduced. Based on the two basic transformations, [[Combinations of transformations|combinations of transformations]] are possible. Additionaly a special matrix inversion method is presented for [[Inverse transformation|inverse transformation]]. | ||
+ | </td> | ||
+ | </tr> | ||
+ | </table> | ||
+ | ---- | ||
+ | <table style="border-spacing:5px;"> | ||
+ | <tr> | ||
+ | <td> | ||
+ | [[File:ThreeAngle.png|100px]] | ||
+ | </td> | ||
+ | <td valign="top"> | ||
+ | '''[[Three-Angle Representations]]'''<br> | ||
+ | Three angles are enough to describe the orientation of an object in three-dimensional space. But there are two different ways to define these angles, the notation of [[Euler angles]] and the [[Yaw, pitch and roll|yaw, pitch and roll]] angles. | ||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | </table> |
Revision as of 14:47, 5 May 2015
Vector algebra |
Matrices |
Matrix inversion |
Transformations |
Three-Angle Representations |