Direct Solutions for Inverse Transport Problems
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摘要: 利用闪光照相成像系统底片直穿信息,对客体线性吸收系数空间分布进行了直接重建。由于逆向问题的不适定性,采用代数重构算法(ART)、截断奇异值分解(TSVD)、Tikhonov正则化方法以及全变差(TV)正则化方法进行求解,并对数值结果进行了分析比较。结果表明,在合适的正则化参数选取前提下,算法可以较好重建客体线吸收系数,并且有效抑制散射噪声的影响。Abstract: According to the direct exposure from the flash radiographic image,the direct method for inverse Boltzmann transport equation is presented.The line absorption coefficients and interface locations of object are reconstructed directly at the same time.The algorithm uses ART,Tikhonov,TSVD and TV regularization methods because of the ill-posedness of inverse problems.Numerical results with appropriate regularization parameter agree well with the reference value and avoid amplifying the scatter noise.
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Key words:
- Inverse transport /
- Direct solution /
- Regularization /
- Sensitivity analysis
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