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A rational Rodrigues formula to interpolate rotations

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 Added by Walter Mascarenhas
 Publication date 2015
  fields
and research's language is English




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We propose a rational version of the classic Rodrigues rotation formula, which leads to a more accurate and efficient modelling of rotations and their derivatives in finite precision arithmetic. We explain how the rational Rodrigues formula can be used to describe the kinematics of rigid bodies, in a practical example in which we model the rotation of a cell phone using the data obtained from its gyroscope.

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