• Corpus ID: 251402290

Standard Dual Quaternion Optimization and Its Applications in Hand-Eye Calibration and SLAM

  title={Standard Dual Quaternion Optimization and Its Applications in Hand-Eye Calibration and SLAM},
  author={Liqun Qi},
  • L. Qi
  • Published 29 June 2022
  • Mathematics
Several common dual quaternion functions, such as the power function, the magnitude function, the 2-norm function and the k th largest eigenvalue of a dual quaternion Hermitian matrix, are standard dual quaternion functions, i.e., the standard parts of their function values depend upon only the standard parts of their dual quaternion variables. Furthermore, the sum, product, minimum, maximum and composite functions of two standard dual functions, the logarithm and the exponential of standard… 
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