引用本文: 袁修孝, 林先勇. 基于岭估计的有理多项式参数求解方法[J]. 武汉大学学报 ( 信息科学版), 2008, 33(11): 1130-1133.
YUAN Xiuxiao, LIN Xianyong. A Method for Solving Rational Polynomial Coefficients Based on Ridge Estimation[J]. Geomatics and Information Science of Wuhan University, 2008, 33(11): 1130-1133.
 Citation: YUAN Xiuxiao, LIN Xianyong. A Method for Solving Rational Polynomial Coefficients Based on Ridge Estimation[J]. Geomatics and Information Science of Wuhan University, 2008, 33(11): 1130-1133.

## A Method for Solving Rational Polynomial Coefficients Based on Ridge Estimation

• 摘要: 在使用最小二乘法解算卫星遥感影像的RPC参数时,如果控制点非均匀分布或模型过度参数化,其法方程系数矩阵很容易产生病态,获得的解将偏离真值,甚至得到错误的解。使用岭估计可改善法方程的状态,保证解稳定。采用岭估计方法,通过所获取的不同岭参数对SPOT和QuickBird影像进行实验,证实L曲线法是一种稳定的、有效的岭参数确定方法,可显著提高RPC参数的解算精度。

Abstract: If the distribution of the control points is asymmetric or the model is over parameterized,the problem of ill-conditioned normal equation easily occurs during solving the rational polynomial coefficients(RPC) of satellite imagery.Traditional least squares adjustment can't get reliable solution.Ridge estimation is introduced to ameliorate the condition of the normal equation and to ensure that the solution is reliable.The basic principle of solving RPC by using ridge estimation is introduced.SPOT and QuickBird imagery are processed by different regularization techniques.The empirical results have verified that L-curve method is a reliable and valid way for choosing the ridge parameter,and it could improve the accuracy of the solution distinctly.

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