基于岭参数的谱修正迭代法及其在有理多项式参数求解中的应用

Improvement of the Iteration by Correcting Characteristic Value Based on Ridge Estimation and Its Application in RPC Calculating

通过比较基于L-曲线法求取岭参数的岭估计法与谱修正迭代法,分析了两种方法的特性,为选择合适的方法进行病态方程求解作参考。针对谱修正迭代法收敛慢、效率低这一缺点,提出了一种利用狭义岭估计中的岭参数(或广义岭估计的岭参数对角矩阵)进行谱修正,改进谱修正迭代法的方法。利用模拟算例对改进的方法进行实验,在不同噪声情况下,改进方法效率有不同程度的提高。把改进方法应用到SPOT影像RPC求解中,发现改进的方法在应用中具有一定的优势。

As an effective method for solving the morbidity normal equation, tion has been widely studied and applied in processing of the measurement method changes the equivalent relationship and the result is a biased estimate. by correcting characteristic value does not change the equivalent relationship, few studies on the limitations and the application scope of the method. With Ridge estima- data, but the The iteration but there are comparing theRidge estimation method and the Iteration by correcting characteristic value, and analysing the characteristics of two methods to guide the application, an improved iteration by correc- ting characteristic value using the ridge parameters was proposed in this paper. This method not only reduces the iterative times and advances efficiency, but also has the same precision with the originality method.