Is it the Global frame-of-reference or Local frame-of-reference of the rotation









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I need to translate the rotation matrix to Euler angle.



And following this blog https://www.learnopencv.com/rotation-matrix-to-euler-angles/, I saw the Python code like (using order 'z, y, x'):



def rotation_matrix_to_euler_angles(matrix): 
sy = math.sqrt(matrix[0,0] * matrix[0,0] + matrix[1,0] * matrix[1,0])

singular = sy < 1e-6

if not singular :
x = math.atan2(matrix[2, 1] , matrix[2, 2])
y = math.atan2(-matrix[2,0], sy)
z = math.atan2(matrix[1,0], matrix[0,0])
else :
x = math.atan2(-matrix[1, 2], matrix[1, 1])
y = math.atan2(-matrix[2,0], sy)
z = 0

return [x, y, z]


Or you can find the other solutions for other orders in:
https://www.geometrictools.com/Documentation/EulerAngles.pdf



But in the blog and in the PDF, they didn't mention which frame-of-reference they were using. So I am not sure, this solution is Global frame-of-reference or Local frame-of-reference of the rotation.










share|improve this question



























    up vote
    0
    down vote

    favorite












    I need to translate the rotation matrix to Euler angle.



    And following this blog https://www.learnopencv.com/rotation-matrix-to-euler-angles/, I saw the Python code like (using order 'z, y, x'):



    def rotation_matrix_to_euler_angles(matrix): 
    sy = math.sqrt(matrix[0,0] * matrix[0,0] + matrix[1,0] * matrix[1,0])

    singular = sy < 1e-6

    if not singular :
    x = math.atan2(matrix[2, 1] , matrix[2, 2])
    y = math.atan2(-matrix[2,0], sy)
    z = math.atan2(matrix[1,0], matrix[0,0])
    else :
    x = math.atan2(-matrix[1, 2], matrix[1, 1])
    y = math.atan2(-matrix[2,0], sy)
    z = 0

    return [x, y, z]


    Or you can find the other solutions for other orders in:
    https://www.geometrictools.com/Documentation/EulerAngles.pdf



    But in the blog and in the PDF, they didn't mention which frame-of-reference they were using. So I am not sure, this solution is Global frame-of-reference or Local frame-of-reference of the rotation.










    share|improve this question

























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I need to translate the rotation matrix to Euler angle.



      And following this blog https://www.learnopencv.com/rotation-matrix-to-euler-angles/, I saw the Python code like (using order 'z, y, x'):



      def rotation_matrix_to_euler_angles(matrix): 
      sy = math.sqrt(matrix[0,0] * matrix[0,0] + matrix[1,0] * matrix[1,0])

      singular = sy < 1e-6

      if not singular :
      x = math.atan2(matrix[2, 1] , matrix[2, 2])
      y = math.atan2(-matrix[2,0], sy)
      z = math.atan2(matrix[1,0], matrix[0,0])
      else :
      x = math.atan2(-matrix[1, 2], matrix[1, 1])
      y = math.atan2(-matrix[2,0], sy)
      z = 0

      return [x, y, z]


      Or you can find the other solutions for other orders in:
      https://www.geometrictools.com/Documentation/EulerAngles.pdf



      But in the blog and in the PDF, they didn't mention which frame-of-reference they were using. So I am not sure, this solution is Global frame-of-reference or Local frame-of-reference of the rotation.










      share|improve this question















      I need to translate the rotation matrix to Euler angle.



      And following this blog https://www.learnopencv.com/rotation-matrix-to-euler-angles/, I saw the Python code like (using order 'z, y, x'):



      def rotation_matrix_to_euler_angles(matrix): 
      sy = math.sqrt(matrix[0,0] * matrix[0,0] + matrix[1,0] * matrix[1,0])

      singular = sy < 1e-6

      if not singular :
      x = math.atan2(matrix[2, 1] , matrix[2, 2])
      y = math.atan2(-matrix[2,0], sy)
      z = math.atan2(matrix[1,0], matrix[0,0])
      else :
      x = math.atan2(-matrix[1, 2], matrix[1, 1])
      y = math.atan2(-matrix[2,0], sy)
      z = 0

      return [x, y, z]


      Or you can find the other solutions for other orders in:
      https://www.geometrictools.com/Documentation/EulerAngles.pdf



      But in the blog and in the PDF, they didn't mention which frame-of-reference they were using. So I am not sure, this solution is Global frame-of-reference or Local frame-of-reference of the rotation.







      python rotation euler-angles






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      edited Nov 11 at 12:32









      Zoe

      10.5k73575




      10.5k73575










      asked Nov 11 at 0:41









      Colin Ji

      513314




      513314



























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