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对偏折层析投影转换为相位层析投影的转换关系进行了分析,给出明晰的数学关系,并针对偏折层析的滤波反投影算法重建的结果进行误差分析。分析结果表明投影噪声对重建场的作用体现在与由偏折层析滤波反投影算法的滤波器有关的倾斜函数上。因此提出了改进的偏折层析滤波反投影算法,数值模拟表明,改进算法在有效抑制倾斜现象的同时,对重建结果不会造成明显的失真。在此基础上改进的算法被用于真实火箭燃气射流密度场的三维重建中。
The conversion relationship of the deflection tomography projection to the phase tomography projection is analyzed, the clear mathematical relation is given, and the error analysis is carried out based on the reconstruction results of the filter back-projection algorithm of the deflection tomography. The analysis results show that the effect of projection noise on the reconstructed field is reflected in the tilt function related to the filter of the bias tomography backprojection algorithm. Therefore, an improved deflection chromatogram filtering backprojection algorithm is proposed. The numerical simulation shows that the improved algorithm can effectively suppress the tilting phenomenon and does not cause obvious distortion to the reconstructed result. Based on this, the improved algorithm is applied to the 3D reconstruction of the rocket gas jet density field.