首页|Weighted geometric circle fitting for the Brogar Ring: Parameter-free approach and bias analysis
Weighted geometric circle fitting for the Brogar Ring: Parameter-free approach and bias analysis
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NSTL
Elsevier
? 2022 Elsevier LtdGeometric circle fitting is a fundamental task in scientific and engineering research. In this contribution, a parameter-free approach for weighted geometric circle fitting is proposed based on the iteratively linearized model with condition equations. Furthermore, the corresponding bias analysis is investigated by the classical theory of nonlinear least-squares. The simulated results show that: 1) Our new approach obtains the optimal solution in various weighted cases and its convergence behavior is more stable than the classical parametric method; 2) The biases caused by nonlinearity can be effectively removed in different situations. Finally, the measured coordinates of an archaeological site in Britain, the Brogar Ring, are adjusted and the results are analyzed.
NSTL
Elsevier
