基于卷积曲面的动态实时星图模拟

闫劲云; 刘慧; 赵伟强; 江洁

doi:10.13700/j.bh.1001-5965.2018.0425

基于卷积曲面的动态实时星图模拟

doi: 10.13700/j.bh.1001-5965.2018.0425

闫劲云¹,
刘慧¹,
赵伟强¹,
江洁^2, ,

1.
中国计量科学研究院, 北京 100029
2.
北京航空航天大学仪器科学与光电工程学院, 北京 100083

基金项目:

国家自然科学基金 61505191

国家自然科学基金 61725501

质量技术监督能力提升专项 ANL1805

详细信息

作者简介:
闫劲云男, 博士, 助理研究员。主要研究方向:星敏感器技术、光度计量

江洁女, 博士, 教授, 博士生导师。主要研究方向:星敏感器技术、图像处理

通讯作者:
江洁, E-mail: jiangjie@buaa.edu.cn

中图分类号: V448.25
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- 被引次数: 0
出版历程
- 收稿日期: 2018-07-13
- 录用日期: 2018-10-15
- 网络出版日期: 2019-04-20

Dynamic real-time star map simulation based on convolution surface

1.
National Institute of Metrology, Beijing 100029, China
2.
School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100083, China

Funds:

National Natural Science Foundation of China 61505191

National Natural Science Foundation of China 61725501

Project for Improvement of Quality and Technical Supervision Capacity ANL1805

More Information

Corresponding author: JIANG Jie, E-mail: jiangjie@buaa.edu.cn

摘要

摘要:
多星模拟器可动态刷新显示变化的星空，是星敏感器测试的关键设备。在动态条件下星点成像发生拖尾，要求星模拟器能够准确、实时仿真拖尾星图。建立了动态拖尾星点的卷积曲面模型。该模型是星点光斑弥散函数与权重函数沿着星点运动轨迹的卷积，可描述以任意形式运动产生的拖尾星点。提出了一种基于卷积曲面的像素离散算法，解决了星图仿真实时性不够的问题。先将星点轨迹分割为多段，再计算得到每段轨迹对应形成的星点光斑的像素值，将所有星点光斑累加。所提算法将多重积分化简，使得仿真速度提高了一个数量级，多星模拟器的刷新率达30 Hz。
- 星图模拟 /
- 星模拟器 /
- 星敏感器 /
- 卷积曲面 /
- 拖尾星点
Abstract:
The multi-star simulator dynamically displays star image in the sky map and is the key device for testing a star sensor. As the star spot in the star image smears under dynamic conditions, it is necessary for the star simulator to accurately simulate the smeared star image in real time. First, the convolution surface model of the smeared star spot is established. This model is a convolution of the point spread function and the weight function along the star spot trajectory, and can represent any smeared star spot moving on the image plane. Then, a pixelating algorithm based on the convolution surface is proposed to improve the real-time performance of the star image simulation. The algorithm separates the trajectory into tiny arc segments, calculates pixel values of star spot at each arc segment, and sums all the spots. The pixelating algorithm turns multiple integrals into simple operations, and increases the simulation speed by nearly ten times, with a refresh rate of 30 Hz for multi-star simulator.
- star map simulation /
- star simulator /
- star sensor /
- convolution surface /
- smeared star spot

HTML全文

图 1 拖尾星点光斑成像过程

Figure 1. Imaging process of smeared star spot

下载: 全尺寸图片幻灯片

图 2 拖尾星点光斑仿真精度对比

Figure 2. Simulation accuracy comparison of smeared star spots

下载: 全尺寸图片幻灯片

图 3 不同算法仿真耗时直方图

Figure 3. Histogram of simulation time consumption for different algorithm

下载: 全尺寸图片幻灯片

图 4 星图仿真耗时与星图中星点数量的关系

Figure 4. Star map simulation time consumption vs. star number of star image

下载: 全尺寸图片幻灯片

图 5 剔除暗星后仿真耗时直方图

Figure 5. Histogram of simulation time consumption after dark star is excluded

下载: 全尺寸图片幻灯片

表 1 不同划分间隔下的星点灰度误差

Table 1. Star grayscale error under different steps

划分间隔/像素	0.02	0.05	0.10	0.20
最大灰度误差	0.005 3	0.012 9	0.026 0	0.052 5
灰度RMS误差	0.001 1	0.002 7	0.005 4	0.010 9

下载: 导出CSV

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