Precise simulation of star spots and centroid calculation based on Gaussian distribution

WANG Hai-yong; FEI Zheng-hong; WANG Xin-long

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Precise simulation of star spots and centroid calculation based on Gaussian distribution

Article | 更新时间：2020-08-12

- Precise simulation of star spots and centroid calculation based on Gaussian distribution
- Optics and Precision Engineering Vol. 17, Issue 7, Pages: 1672-1677(2009)
- 作者机构：
  
  北京航空航天大学宇航学院北京,100191
- 作者简介：
- 基金信息：
- DOI：
  CLC： V448.22
- Received：24 September 2008，
  
  Revised：10 October 2008，
  
  Published Online：25 July 2009，
  
  Published：25 July 2009
- 稿件说明：
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王海涌, 费峥红, 王新龙. 基于高斯分布的星像点精确模拟及质心计算[J]. 光学精密工程, 2009,17(7): 1672-1677

WANG Hai-yong, FEI Zheng-hong, WANG Xin-long. Precise simulation of star spots and centroid calculation based on Gaussian distribution[J]. Editorial Office of Optics and Precision Engineering, 2009,17(7): 1672-1677
王海涌, 费峥红, 王新龙. 基于高斯分布的星像点精确模拟及质心计算[J]. 光学精密工程, 2009,17(7): 1672-1677 DOI：

WANG Hai-yong, FEI Zheng-hong, WANG Xin-long. Precise simulation of star spots and centroid calculation based on Gaussian distribution[J]. Editorial Office of Optics and Precision Engineering, 2009,17(7): 1672-1677 DOI：

摘要

为提高星敏感器仿真系统的精度

提出了基于高斯规律的模拟星像点的灰度扩散方法和高斯质心提取算法。按照二维高斯分布规律置灰度值来模拟星像点像素

对称中心是映射坐标而不是取整的中心像素坐标

以便准确模拟实际星像点散焦及像差导致的灰度扩散。高斯质心提取亚像素定位过程包括像素粗定位和偏差精定位两个步骤

基于高斯规律建立了一个分段函数实现偏差精定位。在星像点噪声为

1.2

)的仿真条件下

整个偏差区间

Abstract

In order to improve the precision of the simulation system in a star sensor

this paper presents a gray pervasion method based on a Gaussian law for precisely simulating star spots and a Gaussian centroid extraction algorithm. The gray vaiues of simulating star image pixels are evaluated according to the 2D Gaussian distribution law and the mapping coordinates instead of the central pixel round coordinates are taken as the symmetric center

so as gray pervasion phenomenon caused by defocusing and aberration from an actual star spot can be simulated precisely. The new Gaussian centroid extracting sub-pixel positioning method consists of two steps.One is rough pixel-level positioning and the other is fine deviation positioning. A piecewise defined synthesized function is constituted based on Gaussian law to realize the sub-pixel fine deviation positioning. Under the simulating condition of image Gaussian noise in

1.2

) and the whole deviation interval of

关键词

Keywords

references

郝胜国,郝志航. 星敏感器星像模拟软件的研究[J]. 光学精密工程,2000,8(3):208-212. HAO SH G, HAO ZH H. Star image simulation software of star-tracker[J]. Opt. Precision Eng., 2000, 8(3): 208-212. (in Chinese)[2] 魏新国,张广军,江洁. 星敏感器中星图图像的星体细分定位方法研究[J]. 北京航空航天大学学报,2003,29(9):812-815. WEI X G, ZHANG G J, JIANG J. Subdivided locating method of star image for star sensor[J]. Journal of Beijing University of Aeronautics and Astronautics, 2003,29(9):812-815. (in Chinese)[3] CARL C L. Accuracy performance of star tracker-a tutorial[J]. IEEE, 2002,38(2):587-597. [4] 房建成, 宁晓琳. 天文导航原理及应用[M]. 北京:北京航空航天大学出版社,2006:233-235. FANG J CH, NING X L. Theory and Application of Celestial Navigation[M]. Beijing: Beihang University Press, 2006: 233-235.[5] 谢伦治,卞洪林,王振华. 面真探测器的像点亚像素定位研究[J]. 光学与光电技术,2003,2(1):51-56. XIE L ZH, BIAN H L, WANG ZH H. Study of the subpixel interpolation of image spots with matrix detectors[J]. Optical & Optoelectronic Technology, 2003,2(1):51-56. (in Chinese)[6] 张辉,钟建勇,袁家虎,等. 电路噪声对星敏感器星点定位精度的影响[J]. 光学精密工程,2006,14(6):1052-1056. ZHANG H, ZHONG J Y, YUAN J H, et al.. Circuit noise effects on star sensor position accuracy [J]. Opt. Precision Eng., 2006, 14(6): 1052-1056. (in Chinese)[7] 王一凡. 根据光能盘分布确定CCD内插求中心精度[J]. 控制工程,1993(6):11-13. WANG Y F. Centroid accuracy determination of CCD interpolated method by optical energy distribution[J]. Control Engineering, 1993(4):11-13. (in Chinese)

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