Translate/Rotate submatrix

2018 4 12
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更新时间：2018 4 12
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I have a 512x512x100 matrix A which contains a 100x100x20 submatrix S. I want to translate (and rotate) S. In few words, the final result must be a 512x512x100 matrix containing S, but in a different position (and if possible, rotated). How can I do that?

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Stephen23
Stephen23 2018-4-12
编辑：Stephen23 2018-4-12
  • Translation: perhaps using indexing, or interpolation. What happens to the elements where the subarray used to be: do they keep their values, or get new values?
  • Rotation: by multiples of 90 degrees, or by any arbitrary angle?
Friend
Friend 2018-4-12
编辑：Friend 2018-4-12
  • They get new values (zeros)
  • If possible, any arbitrary angle
PS: the only non-zero values contained in A, are inside S.
Stephen23
Stephen23 2018-4-12
  • Translation: depending on your requirements you could use indexing, or circshift. What happens if the new subarray position lies across/outside the array dimensions?
  • Rotation of a array by an arbitrary angle is not clearly defined:
https://www.mathworks.com/matlabcentral/answers/288017-how-to-rotate-a-matrix-n-n-around-the-n-2-n-2-point
Friend
Friend 2018-4-12
  • It's true, I solved the translation problem through simple indexing.
  • I had a feeling that rotating by an arbitrary angle wouldn't be possible. I'll try with 90° rotations. thanks

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2018-4-12

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