针对光电探测系统高指向精度要求，提出了补偿最小二乘法与双三次样条插值相结合的半参数模型标定算法来减小系统指向误差。根据光电探测系统结构组成，运用多体系统理论建立系统指向误差参数模型。引入非参数分量，建立半参数模型，应用补偿最小二乘法对半参数模型进行标定得到修正模型。搭建实验平台测得两组数据，分别用于运动学标定与验证修正结果。实验结果表明：系统方位向、俯仰向指向误差均值从92.1185″、75.9358″降低到2.7100″、2.7755″，指向误差标准差从21.6522、15.1744降低到10.8645、10.7305。表明提出的标定算法能有效提高光电探测系统指向精度和空间指向稳定性，且能同时考虑系统误差的线性与非线性关系。

In order to meet the high pointing precision of photoelectric detecting system, a kinematic calibration algorithm using penalized least square method and bicubic spline interpolation is proposed to decrease the pointing error. According to the structure component of the photoelectric detecting system, the parametric model of pointing error is established by multi- body system theory. In consideration of the non- parametric component, semiparametric model is established, and the model is calibrated by penalized least square method to get the modified model. A prototype experimental platform is built, and two groups of data are measured, which are collected to calibrate the model and verify the modified results. The experimental results demonstrate that the mean values of azimuth and elevation pointing error are reduced from 92.1185″, 75.9358″ to 2.7100″, 2.7755″. The standard deviation values of azimuth and elevation pointing error are also reduced from 21.6522, 15.1744 to 10.8645, 10.7305. The experiment and results can make it clear that the algorithm is able to improve the pointing precision and stability of pointing effectively. Besides, the linear and nonlinear relationships are considered simultaneously.