静态像点高斯灰度扩散模型参数估计方法

王海涌; 周文睿; 林浩宇; 王新龙

doi:doi:10.3788/aos201232.0323004

光学学报, 2012, 32 (3): 0323004, 网络出版: 2012-01-17

静态像点高斯灰度扩散模型参数估计方法

Parameter Estimation of Gaussian Gray Diffusion Model of Static Image Spot

论文大纲

王海涌 ^*周文睿林浩宇王新龙

作者单位

北京航空航天大学宇航学院, 北京 100191

图像处理导航技术参数估计星图模拟灰度扩散 image processing navigation technique parameter estimation star-image simulation gray proliferation

摘要

为了实现星敏感器高斯灰度扩散模型的参数估计，设计了平行光管成像标定实验及相关算法。基于高斯规律建立并求解了以高斯扩散半径和像点质心坐标偏差为变量的方程组，进一步求得灰度能量系数；在3个不同平行光源方位拍摄图像，利用图像灰度数据计算模型参数的系列测量值，分别取均值作为其估计值；建立实验验证方法，将3个估计参数代入模型模拟静态星像点，将模拟图像与存在噪声的实拍图像做相似度比较，3 pixel×3 pixel窗口内相似度高于0.97，5 pixel×5 pixel窗口内高于0.98，7 pixel×7 pixel窗口内高于0.98。结果表明，方程组求解得到的高斯扩散半径、像点质心偏差的值可信，推导公式正确。

Abstract

In order to estimate the parameters in Gaussian gray diffusion model, experiments with collimator are carried out while the parameter calibration algorithm is proposed. Equations which take the Gaussian diffusion radius and the deviation values of the centroid coordinate as variables are established and solved, furthermore, the energy-gray coefficient is obtained. Then, series of photos are taken under the same condition in three different orientations, and parameters whose mean values are taken as their estimates are calculated respectively using these gray data of photos. Finally, all the estimated parameters are put into the simulating model, and a model-generated star image spot is therefore got, the similarity between which and real shot ones is calculated in three different windows under the condition that noise is bound to exist. The similarity is a value of more than 0.97 within the window of 3 pixel×3 pixel, more than 0.98 for a 5 pixel×5 pixel, and more than 0.98 for a 7 pixel×7 pixel. The experimental results show that the solution formulas about σ, A and the deviation Δx and Δy are right.

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王海涌, 周文睿, 林浩宇, 王新龙. 静态像点高斯灰度扩散模型参数估计方法[J]. 光学学报, 2012, 32(3): 0323004. Wang Haiyong, Zhou Wenrui, Lin Haoyu, Wang Xinlong. Parameter Estimation of Gaussian Gray Diffusion Model of Static Image Spot[J]. Acta Optica Sinica, 2012, 32(3): 0323004.

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