Abstract:A weighted total least squares (WTLS) cost function is obtained by considering the first-order error propagation of the design matrix elements in conic fitting problems with heteroscedastic measurements. The cost function is justified as the Rayleigh quotient form, which means the parameters to be estimated are the eigenvector associated with the smallest eigenvalue of a given positive-defined matrix. Our algorithm is an iterative singular value decomposition, and a simulated data experiment is also presented to verify the algorithm. The results show that this method is more stable, demands less calculation, and is relatively simple and efficient.
DENG Caihua,ZHOU Yongjun,ZHU Jianjun. A Rayleigh Quotient Based Iterative Weighted Total Least Squares Methods for Heteroscedastic Conic Fitting[J]. jgg, 2016, 36(5): 438-.