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Quaternion: Difference between revisions
→Cayley Factorization
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Thus, <math>R_1 R_2 = (R_1^L R_1^R) (R_2^L R_2^R) = (R_1^L R_2^L) (R_1^R R_2^R) = R</math>. | Thus, <math>R_1 R_2 = (R_1^L R_1^R) (R_2^L R_2^R) = (R_1^L R_2^L) (R_1^R R_2^R) = R</math>. | ||
This shows that the composition of two double quaternions will be a double quaternion. | This shows that the composition of two double quaternions will be a double quaternion. | ||
===Approximating 3D Translations using Double quaternions=== | |||
==Dual Quaternions== | ==Dual Quaternions== | ||