File:Rotation decomposition.svg

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Description
English: This picture has been made to illustrate article "Rotation matrix" (section about axis-angle formula)

It shows a rotation R of an angle θ = 60° around an axis u = (1/√11, 1/√11, 3/√11)

A vector v = (1/√3, 1/√3, 1/√3) is rotated to R(v)

  • v’s projection to u’s axis is P(v)
  • v’s projection to the orthogonal plane is (I − P)(v)
  • Q(v) is orthogonal to the other two
R = P + (I − P) cosθ + Q sinθ : that's the decomposition of R
Date
Source Own work
Author
Giacomo Alessandroni  (1971–)  wikidata:Q61601315
 
Giacomo Alessandroni
Description Italian teacher and researcher
Researcher in digital signal processing
Date of birth 3 August 1971 Edit this at Wikidata
Location of birth Pesaro Edit this at Wikidata
Work period 1999 Edit this at Wikidata–
Work location
Pesaro Edit this at Wikidata
Authority file
creator QS:P170,Q61601315
SVG development
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This vector image was created with Inkscape, and then manually edited
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current17:37, 12 October 2024Thumbnail for version as of 17:37, 12 October 2024424 × 535 (26 KB)Galessandroni (talk | contribs)Uploaded own work with UploadWizard

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