Backup of Quaternion (No. 11)

• Backup list
• View the diff.
• View the diff current.
• View the diff for visual.
• View the source.
• Go to Quaternion.
  • 1 (2009-02-24 (Tue) 00:45:23)
  • 2 (2009-03-21 (Sat) 10:47:52)
  • 3 (2013-04-09 (Tue) 17:04:49)
  • 4 (2014-07-18 (Fri) 00:05:11)
  • 5 (2017-06-03 (Sat) 23:22:26)
  • 6 (2018-12-02 (Sun) 01:55:00)
  • 7 (2018-12-03 (Mon) 01:40:00)
  • 8 (2018-12-07 (Fri) 00:35:51)
  • 9 (2020-05-03 (Sun) 01:04:35)
  • 10 (2020-09-15 (Tue) 19:20:49)
  • 11 (2020-12-09 (Wed) 14:52:19)
  • 12 (2021-03-11 (Thu) 15:59:31)
  • 13 (2023-02-16 (Thu) 14:38:35)
  • 14 (2023-12-07 (Thu) 14:19:20)

• 超複素数

  i^2=j^2=k^2=ijk=-1 
  ij=k, jk=i, ki=j

• ベクトル・複素数・クォータニオン
  • http://www.pineappledesign.org/Kanaya/Quaternion.html
• 四元数・４元数・クォータニオン・ Quaternionで回転
  • http://www015.upp.so-net.ne.jp/notgeld/quaternion.html

    Q = (cos(θ/2); α sin(θ/2), β sin(θ/2), γ sin(θ/2))
    R = (cos(θ/2); -α sin(θ/2), -β sin(θ/2), -γ sin(θ/2))
    R P Q = (0; 答え)

• 球面線形補間 (Slerp, Spherical Linear Interpolation)

• クォータニオン完全マスター
  • Unity道場スペシャル博多-yasuhara.pdf

• quat32
  • https://github.com/unity3d-jp/MeshSync/blob/dev/Plugin/MeshUtils/muQuat32.h

• クォータニオン (Quaternion) を総整理！ ～ 三次元物体の回転と姿勢を鮮やかに扱う ～
  • https://qiita.com/drken/items/0639cf34cce14e8d58a5

• 四元数のはなしをしました #kanmath6_5
  • https://usami-k.hatenadiary.jp/entry/2020/05/02/223234
    • https://speakerdeck.com/usamik26/quaternion

関連

• 代数学
• 複素数
• 3D