基于卷积曲面的动态实时星图模拟

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。 

Dynamic real-time star map simulation based on convolution surface

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.