Math for Game Devs - Abstract Algebra, Procedural Animation & Splines

Math for Game Devs - Abstract Algebra, Procedural Animation & Splines

Freya Holmér via YouTube Direct link

Why use quaternions in games?

12 of 24

12 of 24

Why use quaternions in games?

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Math for Game Devs - Abstract Algebra, Procedural Animation & Splines

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  1. 1 Intro
  2. 2 Lecture Start
  3. 3 Smoothing & Easing functions
  4. 4 Deriving Hermite Interpolation
  5. 5 Splines
  6. 6 i imaginary unit
  7. 7 Complex Plane
  8. 8 Complex Numbers
  9. 9 Euler’s Formula & Identity
  10. 10 e the constant
  11. 11 Dual Numbers
  12. 12 Why use quaternions in games?
  13. 13 Vector Algebra an alternate perspective
  14. 14 Multiplying vectors?
  15. 15 2D Bivectors & the wedge product
  16. 16 Geometric Product
  17. 17 Multivector & Bases
  18. 18 3D Geometric Algebra
  19. 19 Full 3D Multivector
  20. 20 The generality of GA
  21. 21 Quaternions from a GA perspective
  22. 22 4D Games
  23. 23 Why quaternions rotate well
  24. 24 Q&A Outro & how I animate in Unity

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