Re:Siggraph2019 Geometric Algebra (2019) [video]
by enkimute on Tuesday February 11, 2020 @02:08PM
(#22301540)
In the short version, the representations are isomorphic, that is you can take all formulas from our Siggraph cheat sheets and replace all operators by Eric's 'anti-operators'.
(its a long discussion, the link points to my last summary). There are still some unanswered questions on Eric's method (most notably how to define his duality mathematically - or how to arrive at the metric for the dual algebra - I'm looking forward to his views on this.)
The 26th of February I'm giving a new talk at the GAME2020 workshop that is all about the reason the view nobody is used to might in fact be a natural choice.
You can review the discussion with Eric here :
https://discourse.bivector.net/t/why-use-dual-space-in-pga-r...
(its a long discussion, the link points to my last summary). There are still some unanswered questions on Eric's method (most notably how to define his duality mathematically - or how to arrive at the metric for the dual algebra - I'm looking forward to his views on this.)
The 26th of February I'm giving a new talk at the GAME2020 workshop that is all about the reason the view nobody is used to might in fact be a natural choice.