Andreas Grois on Nostr: npub14yqjk…vrfl3 The Unit Quaternions can be used to represent rotations - so, as ...
npub14yqjkzqkgv4a27egvq5xmh2ravemytg9g5kldqeqfts92uvh90sq2vrfl3 (npub14yq…rfl3) The Unit Quaternions can be used to represent rotations - so, as long as you are dealing with rotations, your quaternions will have a length of 1.
You can think of the encoding as a form of angle-axis encoding.
The W component is the cosine of half of the angle, and the XYZ components are the unit-axis around which you rotate, times the sine of half of the angle.
W = cos(φ/2)
X = x * sin(φ/2)
Y = y * sin(φ/2)
Z = z * sin(φ/2)
where x, y, z are the components of a unit-vector.
1/2
Published at
2024-11-06 15:00:06Event JSON
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"content": "nostr:npub14yqjkzqkgv4a27egvq5xmh2ravemytg9g5kldqeqfts92uvh90sq2vrfl3 The Unit Quaternions can be used to represent rotations - so, as long as you are dealing with rotations, your quaternions will have a length of 1.\n\nYou can think of the encoding as a form of angle-axis encoding.\nThe W component is the cosine of half of the angle, and the XYZ components are the unit-axis around which you rotate, times the sine of half of the angle.\n\nW = cos(φ/2)\nX = x * sin(φ/2)\nY = y * sin(φ/2)\nZ = z * sin(φ/2)\nwhere x, y, z are the components of a unit-vector.\n1/2",
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