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

@inproceedings{Qi2022StandardDQ, title={Standard Dual Quaternion Optimization and Its Applications in Hand-Eye Calibration and SLAM}, author={Liqun Qi}, year={2022} }

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…

## One Citation

### A regularization-patching dual quaternion optimization method for solving the hand-eye calibration problem

- Computer Science, MathematicsArXiv
- 2022

A new dual quaternion optimization method based on the 2-norm of dualQuaternion vectors is proposed for the hand-eye calibration problem, which gives a complete description for the solution set of hand- Eye calibration problems.

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