Exact interior reconstruction from truncated limited-angle projection data.
Exact interior reconstruction from truncated limited-angle projection data.
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DOI：
10.1155/2008/427989
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发表时间：
2008
影响因子：
7.6
通讯作者：
Wang G
中科院分区：
文献类型：
--
作者：
Ye Y;Yu H;Wang G
使用滤波反投影（FBP）和解析延拓方法，我们证明了精确的内部重建是可能的和唯一的截断有限角度投影数据，如果我们假设一个子区域或子体积内的对象进行重建的先验知识。我们的研究结果表明：（i）内部感兴趣区域（ROI）问题和内部感兴趣体积（VOI）问题可以从ROI/VOI的有限角度扫描和子区域或子体积的180度PI扫描中精确重建;（ii）整个目标函数可以从有限角度扫描的非截断投影中精确重建。这些结果改进了Hamaker等人（1980）的经典理论。
Using filtered backprojection (FBP) and an analytic continuation approach, we prove that exact interior reconstruction is possible and unique from truncated limited-angle projection data, if we assume a prior knowledge on a subregion or subvolume within an object to be reconstructed. Our results show that (i) the interior region-of-interest (ROI) problem and interior volume-of-interest (VOI) problem can be exactly reconstructed from a limited-angle scan of the ROI/VOI and a 180 degree PI-scan of the subregion or subvolume and (ii) the whole object function can be exactly reconstructed from nontruncated projections from a limited-angle scan. These results improve the classical theory of Hamaker et al. (1980).