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应用高斯点分布函数为数学模型,提出了一种新的获取高精度恒星质心位置的方法。由于入射到星像点邻域内像元中的光子能量呈近高斯分布,因此利用成像邻域内像元强度的比值,将高斯点分布函数展开成为关于质心位置的多项式,可将质心位置在x、y轴方向分别计算出来,并利用从星图中提取出的多星对角距误差的统计值来间接验证提出的算法。试验结果表明,该算法的定位精度达到1/33个像元,相比一阶矩法提高了大约两倍,表明该算法能够在不增加算法复杂度的前提下有效地提高质心的定位精度。对质心位置观测相机姿态精度的影响做了分析。结果表明,提出的质心算法能够有效地提高观测相机的姿态定位精度。
Using Gaussian point distribution function as a mathematical model, a new method for obtaining the position of centroid with high precision is proposed. Since the energy of photon incident on the pixel in the neighborhood of the star point is nearly Gaussian, the Gaussian point distribution function is expanded to a polynomial with respect to the position of the centroid by using the ratio of pixel intensities in the neighborhood of the image, y-axis direction respectively, and use the statistics of the multi-stars diagonal error extracted from the star map to indirectly verify the proposed algorithm. Experimental results show that the proposed algorithm achieves a positioning accuracy of 1/33 pixels, which is approximately double that of the first order moment method. It shows that this algorithm can effectively improve the positioning accuracy of the centroid without increasing the complexity of the algorithm. The effect of camera pose accuracy on the position of the centroid is analyzed. The results show that the proposed centroid algorithm can effectively improve the positioning accuracy of the camera.