How To Do Describe A General Body Translation And Rotation?

20 Oct
2009

How do we report a revolution as well as interpretation of a firm physique in 3 dimensional space?
Say a “center” of a physique has place (xo,yo,zo) with apply oneself to a origin. Also contend matrix (x1,y1,z1) extends from a core of a physique as well as is bound with apply oneself to a body.

Posted by Translation Spanish
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2 Responses to How To Do Describe A General Body Translation And Rotation?

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ultimate bumblebee transformer

October 20th, 2009 at 7:36 pm

The simplest way is to give the velocity of the center of rotation, and the angular velocity around 3 axises of rotation (x,y,z for example with the center of rotation as the origin).

Avatar

Thomas V

October 20th, 2009 at 7:36 pm

The best and most elegant way to handle translation and rotations is through matrices. A single matrix can represent rotation, scaling, translation, skewing, coordinate inversions, projections… it is very powerful!
If you aren’t used to matrix mathematics, it can take some getting used to. But once you do, a lot of bookkeeping disappears.
These sorts of matrix transformations are used all the time in physics and 3D graphics.
I’ve got a link here to one example (note how the author uses 4×4 matrices to include translations naturally) but some web searches will quickly show other sources.

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