I wrote a blog on finding a basis set containing a particular vector. i.e. how can I get up to N-1 orthogonal vectors to some vector of dimension N? https://www.appletonaudio.com/blog/2018/given-a-vector-find-n-orthogonal-vectors/ …
Apparently this is also useful in computer graphics? Anyone seen it done this way before? @sehurlburt?
I’ve not seen this construction before, but that doesn’t mean much. AFAIK, the state of the art in 3D is https://graphics.pixar.com/library/OrthonormalB/paper.pdf …, but I’ve also used this to good effect when combined with a cross product: http://lolengine.net/blog/2013/09/21/picking-orthogonal-vector-combing-coconuts …
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Thanks for the response! I suppose for 3 dimensional vectors, it's a a pretty significant advantage if square roots can be avoided while also keeping the resulting vectors normalised.
Thanks. Twitter will use this to make your timeline better. UndoUndo
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