Create multidimensional rotation matrix

Question

Dominick 2023-3-24

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https://ww2.mathworks.cn/matlabcentral/answers/1934869-create-multidimensional-rotation-matrix

评论： Dominick 2023-3-24

I have two 1x541 column vectors: one for latitudes and one for longitudes.I want to create a 3d array rotation matrix where each iteration in the third dimension steps from 1 to 541 from the column vector. It should be a 3x3x541 array.

Here is what I have so far:

"aclon" and "aclat" are the 541x1 column vectors. "howbig" is just the length of the column vectors and used for matching the length of "aclon" and "aclat"

My code currently produces a 1623x3 matrix

Rm = [sin(aclon) cos(aclon) zeros(howbig,1); -sin(aclat).*cos(aclon) sin(aclat).*sin(aclon) cos(aclat); cos(aclat).*cos(aclon) cos(aclat).*sin(aclon) sin(aclat)];

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Answer 1

Matt J 2023-3-24

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1934869-create-multidimensional-rotation-matrix#answer_1200554

编辑：Matt J 2023-3-24

在 MATLAB Online 中打开

howbig=541;
[aclon,aclat]=deal(rand(howbig,1));  %fake input data
aclon=reshape(aclon,1,1,[]);
aclat=reshape(aclat,1,1,[]);
Rm = [sin(aclon) cos(aclon) 0*aclat; 
     -sin(aclat).*cos(aclon) sin(aclat).*sin(aclon) cos(aclat); 
      cos(aclat).*cos(aclon) cos(aclat).*sin(aclon) sin(aclat)];
whos Rm
  Name      Size               Bytes  Class     Attributes

  Rm        3x3x541            38952  double              