论文标题
同时恢复SPECT的衰减和源密度
Simultaneous recovery of attenuation and source density in SPECT
论文作者
论文摘要
我们表明，在某些非癌化条件下，衰减的ra transworment唯一决定了分段恒定衰减$ a $ a $ a $ a $ a $ a $ a $ c^2 $ source密度$ f $，而实际的分析边界可能会有角落。我们还研究了数值示例，其中非癌化条件失败了，并表明，尽管尚未通过理论结果来解释，但似乎仍然是可能的多爆发$ a $和$ f $的独特重建。
We show that under a certain non-cancellation condition the attenuated Radon transform uniquely determines piecewise constant attenuation $a$ and piecewise $C^2$ source density $f$ with jumps over real analytic boundaries possibly having corners. We also look at numerical examples in which the non-cancellation condition fails and show that unique reconstruction of multi-bang $a$ and $f$ is still appears to be possible although not yet explained by theoretical results.
