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A Tutorial on Euler Angles and Quaternions

A Tutorial on Euler Angles and Quaternions

www.weizmann.ac.il

2.1 Cartesian and polar coordinates A vector or a position (the tip of the vector) in a two-dimensional space can be given either in cartesian coordinates (x,y) or in polar coordinates (r,f), relative to a frame of reference: f r y x The formulas for transforming one representation to another are: x = r cosf y = r sinf r = q x2 +y2 f = tan 1 y x.

  Glean, Coordinates, Tutorials, Euler, Polar, Quaternion, Polar coordinates, Tutorial on euler angles and quaternions

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