3 ms·
Quaternions and Reflections (1946) [pdf]
- user2994cb 8y agoI forgot to add (1945) to the title, apologies.
- h0p3 8y agoWhere is Adam Nemecek? (https://news.ycombinator.com/user?id=adamnemecek https://news.ycombinator.com/user?id=adamnemecek) /press Quaternion Alert button
- user2994cb 8y ago> Location: Los Angeles, Prague It's still a bit early if he's in LA, particularly as it's Sunday.
- h0p3 8y agoTrue dat. Alright, well, I'll help him out with his obligatory link: http://www.chinedufn.com/dual-quaternion-shader-explained/ http://www.chinedufn.com/dual-quaternion-shader-explained/
- user2994cb 8y agoInteresting stuff. Maybe there is a connection with the use of quaternion pairs to represent rotations in 4-space (as in the Coxeter paper).
- theoh 8y agoUsing quaternion pairs for 4-space rotations relies on the simple fact that each quaternion represents a hyperplane in 4-space (https://en.wikipedia.org/wiki/Transformation_geometry https://en.wikipedia.org/wiki/Transformation_geometry). Using single quaternions to represent rotations in 3-space is geometrically a different mechanism, which AFAIK doesn't have such a simple geometrical explanation.