清华大学
纸质出版:1981
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[1]吴中权.数字图象重建的一种快速算法[J].电子学报,1981(04):89-96.
Wu Zhong-quan. The Fast Algorithm for the Digital Image Reconstruction[J]. Acta Electronica Sinica, 1981, (4): 89-96.
本文推导出一种快速算法
并用它重建了某些简单的模型
给出了在通用计算机上执行的结果。在保持相同的主、客观保真度的前提下
与普通算法比较起来
此算法可将计算速度提高约一倍。而且
由于此算法只使用一个正弦函数表
从而省去了普通算法中所需的其他函数表(如正切、反正切和开平方等)
因而容易用硬件实现。此算法可以用于研制快速的X光断层构图仪或超声无损探伤仪。
In this paper the fan beam reconstruction model (convolution-back projection) and its computation formulae are firstly reviewed. But the speed of computation is rather low
because these formulae are so complex that the quantity of computation is too large. In order to increase the speed of computation a fast algorithm has been developed. Under the same subjective and objective image fidelity the computational speed of the new algorithm has been increased by a factor of two in comparison with that of the conventional algorithm. This algorithm has been used in the reconstruction of some simple practical models. The result of the computation shows that this algorithm can be easily realized by hardware
because only one function (SIN) is used rather than many functions (TAN
ARCTAN and SQR etc.) involved. The algorithm can also be used in the x-ray computerized-tomography system and acoustic non-destructive detectors.
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