3 ms·
Cubic Interpolation of Quaternions
- hgomersall 4y agoHonestly, this is much easier in Geometric Algebra. You can operate in rotor space directly, in an analogous way to complex phase.
- Iwan-Zotow 4y agoGot some write-up on that?
- wasabi991011 4y agoLet's remove Quaternions from every 3D Engine[1] by Marc Ten Bosch (developer of 4D Toys and Meigakure) was my introduction to geometric algebra, and I remember it being a great explanation. [1] https://marctenbosch.com/quaternions/ https://marctenbosch.com/quaternions/
- nh23423fefe 4y agoPretty hard to follow along. Never really explained why treating H as R^4 doesn't work as an interpolation. The angle-axis seems like a weird hack to pretend you're in R^3 or something? GA is so conceptually beautiful.
- 1letterunixname 4y agoQuaternions: 3D too simple? Can't figure out how to translate objects in 3-space? Invent another dimension! If you enjoy this sort of obscene math porno, here's some related quaternion math and curves applied to CNC routing (PDF): https://faculty.engineering.ucdavis.edu/farouki/wp-content/uploads/sites/41/2013/02/Introduction-to-PH-curves.pdf https://faculty.engineering.ucdavis.edu/farouki/wp-content/u...