Minimal-scan filtered backpropagation algorithms for diffraction tomography
Minimal-scan filtered backpropagation algorithms for diffraction tomography
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DOI：
10.1364/josaa.16.002896
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发表时间：
1999-12-01
影响因子：
1.9
通讯作者：
Anastasio, MA
中科院分区：
文献类型：
--
作者：
Pan, XC;Anastasio, MA
滤波反向传播（FBPP）算法最初由Devaney [Ultrason]开发。成像4,336(1982)]，已广泛用于衍射层析成像中的图像重建。众所周知，FBPP算法需要在2 pi的全角度范围内的分散数据来精确重建一般复值目标函数。然而,我们表明,唯一需要分散数据/角范围0小于或等于φ小于或等于3π/ 2精确重建的一般复数目标函数,使用这种洞察力,我们开发和分析一系列minimal-scan过滤反向传播(MS-FBPP)算法,与FBPP算法,使用分散的数据获得从视图的角度/范围0小于或等于φ小于或等于3π/ 2。我们分析表明，这些MS-FBPP算法在数学上与FBPP算法相同。我们还进行了计算机模拟研究，以验证、演示和比较这些MS-FBPP算法。这些模拟研究的数值结果证实了我们的理论论断。[C] 1999美国光学学会[j]。
The filtered backpropagation (FBPP) algorithm, originally developed by Devaney [Ultrason. Imaging 4, 336 (1982)], has been widely used for reconstructing images in diffraction tomography. It is generally known that the FBPP algorithm requires scattered data from a full angular range of 2 pi for exact reconstruction of a generally complex-valued object function. However, we reveal that one needs scattered data only over the angular range 0 less than or equal to phi less than or equal to 3 pi/2 for exact reconstruction of a generally complex-valued object function, Using this insight, we develop and analyze a family of minimal-scan filtered backpropagation (MS-FBPP) algorithms, which, unlike the FBPP algorithm, use scattered data acquired from view angles over the range 0 less than or equal to phi less than or equal to 3 pi/2. We show analytically that these MS-FBPP algorithms are mathematically identical to the FBPP algorithm. We also perform computer simulation studies for validation, demonstration, and comparison of these MS-FBPP algorithms. The numerical results in these simulation studies corroborate our theoretical assertions. (C) 1999 Optical Society of America [S0740-3232(99)01712-3].