王振杰, 欧吉坤. 用L-曲线法确定岭估计中的岭参数[J]. 武汉大学学报 ( 信息科学版), 2004, 29(3): 235-238.
引用本文: 王振杰, 欧吉坤. 用L-曲线法确定岭估计中的岭参数[J]. 武汉大学学报 ( 信息科学版), 2004, 29(3): 235-238.
WANG Zhenjie, OU Jikun. Determining the Ridge Parameter in a Ridge Estimation Using L-curve Method[J]. Geomatics and Information Science of Wuhan University, 2004, 29(3): 235-238.
Citation: WANG Zhenjie, OU Jikun. Determining the Ridge Parameter in a Ridge Estimation Using L-curve Method[J]. Geomatics and Information Science of Wuhan University, 2004, 29(3): 235-238.

L-曲线法确定岭估计中的岭参数

Determining the Ridge Parameter in a Ridge Estimation Using L-curve Method

  • 摘要: 运用L-曲线法来确定岭估计中的岭参数,推导了用L-曲线法确定岭参数的基本公式,在此基础上实现了其算法,并用两个算例,比较了新方法和以往方法。结果表明,L-曲线法不仅容易收敛,而且其计算结果的精度较高。

     

    Abstract: The choice of the ridge parameter is important in ridge estimation.In this paper, a new method, L-curve method, is used to determine ridge parameter.Its basic theorem is locating the point of the L-curve where the curvature is maximum.First, according to Hansen's theory, we derive the formulae of locating the point with maximum curvature in L-curve and realize the algorithm.Then, we apply the method to determine the ridge parameter in surveying data processing.After that, we compare the L-curve method with the ridge mark method and the GCV method, and draw a conclusion that the ridge mark method is a bad method for determining the ridge parameter because its accuracy of the result is not high, and that the GCV method have the drawback GCV function is sometimes not convergence. Last, we summarize the characteristics of L-curve method.

     

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