4 ms·
Here are some direct links to some of the PGA (Projective Geometric Algebra) resources mentioned in the talk: 1. The 2D and 3D cheat sheets are here: https://b
by ivan_ah 7y ago
Here are some direct links to some of the PGA (Projective Geometric Algebra) resources mentioned in the talk:
1. The 2D and 3D cheat sheets are here: https://bivector.net/doc.html https://bivector.net/doc.html
2. The talk is also available in "paper form" on the arXiv:
https://arxiv.org/abs/1901.05873 https://arxiv.org/abs/1901.05873
3. Ganja.js repo https://github.com/enkimute/ganja.js https://github.com/enkimute/ganja.js and the associated demos in the Ganja coffee shop https://enkimute.github.io/ganja.js/examples/coffeeshop.html https://enkimute.github.io/ganja.js/examples/coffeeshop.html
____
For more background about the concepts like quaternions, projective geometry, and exterior algebra, etc. that are all united in PGA, you can check this nice book by Jean Gallier and Jocelyn Quaintance: https://www.cis.upenn.edu/~jean/gbooks/geomath.html https://www.cis.upenn.edu/~jean/gbooks/geomath.html
direct link https://www.cis.upenn.edu/~jean/math-deep.pdf https://www.cis.upenn.edu/~jean/math-deep.pdf I haven't read, but sampled it on several topics and found the explanations to be very good.
(edit) first-added links specific to PGA, and typo fix s/external/exterior/
- cygx 7y ago*exterior algebra
- skydog23 7y agoAs the author of the arxiv preprint referred to above, I would like to point out a newer, expanded version written for the Siggraph 2019 course. It's available here: https://www.researchgate.net/publication/334397782_Course_notes_Geometric_Algebra_for_Computer_Graphics_SIGGRAPH_2019 https://www.researchgate.net/publication/334397782_Course_no...