- Determining a versor in n-D geometric algebra from the known transformation of n vectors
- International Workshop on Computer Graphics, Computer Vision and Mathematics (GraVisMa 2009), Plzen, Czech Republic
- Book/source title
- GraVisMa 2009 workshop proceedings
- Pages (from-to)
- Plzen, Czech Republic: Union Agency
- Document type
- Conference contribution
- Faculty of Science (FNWI)
- Informatics Institute (IVI)
Suppose we only know of some elements in a geometric algebra how a versor has transformed them, can we then reconstruct the unknown versor V?
We present an O(2(n)) method that works in n-D geometric algebra for n exact vector correspondences. This makes it usable for determining, for instance, a Euclidean rigid body motion in n-D from a frame correspondence providing the required n+2 conformal vectors as: the frame location, the n axis directions, and the invariance of the point at infinity. The method can only determine a full conformal transformation if the weights of the transformed entities are also observed.
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