Optics and Precision Engineering, Volume. 17, Issue 7, 1672(2009)

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

WANG Hai-yong*... FEI Zheng-hong and WANG Xin-long |Show fewer author(s)
Author Affiliations
  • [in Chinese]
  • show less

    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 N(0,1.22) and the whole deviation interval of [-0.5,0.5) pixel,the Gaussian centroid positioning precision is 0.007 pixel,which is far less than 0.041 pixel from the gray-weighted centroid method and 0.026 pixel from the square-gray weighted centroid method.After disposing the simulation star map,the conclusions show that the Gaussian gray pervasion method for simulation star spots is rational and accurate,and Gaussian centroid extracting method has a higher precision than those of traditional gray-weighted centroid methods.

    Tools

    Get Citation

    Copy Citation Text

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

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category:

    Received: Sep. 24, 2008

    Accepted: --

    Published Online: Oct. 28, 2009

    The Author Email: Hai-yong WANG (why@buaa.edu.cn)

    DOI:

    CSTR:32186.14.

    Topics