| 缺少投影角度与时变物体断层重建的外推恢复正弦图方法 |
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| 引用本文： | 杜明辉,游思放. 缺少投影角度与时变物体断层重建的外推恢复正弦图方法[J]. 电子学报, 1998, 26(10): 86-90,109 |
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| 作者姓名： | 杜明辉 游思放 |
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| 作者单位： | 广州华南理工大学无线电与自动控制研究所!!广州，510641，香港科技大学电机电子工程系 |
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| 摘 要： | 本文针对缺少投影角度及物体时变这两类缺损投影数据问题，在分析了限宽间区域及限频域图像的雷当变换的若干性质基础上，分别导出基于最小均方误差准则的外推公式，从而得到完整的正弦图的最佳估计，基于这一外推所得的正弦图，可以利用传统的断层重建方法对物体进行重建，本文给出了外推公式的推导过程有其求解的迭代算法，计算机模拟结果显示了这一技术的有效性。
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| 关 键 词： | 断层重建 时变物体 正弦图 图象处理 |
缺少投影角度与时变物体断层重建的外推恢复正弦图方法 |
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| .. 缺少投影角度与时变物体断层重建的外推恢复正弦图方法[J]. Acta Electronica Sinica, 1998, 26(10): 86-90,109 |
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| Authors: | . |
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| Abstract: | This paper considers the following two cases of missing cone problem: the limited angle tomography and time-varying object tomography.Based on the spatial and Fourier domain properties of Radon transform, a sinogram extrapolation technique is proposed.The missing data in sinogram is extrapolated using a novel least mean square error criterion and a complete sinogram can be restored. This complete sinogram is then used for image reconstruction by standard methods. The derivation of the sinogram extrapolation formulations is given. An iterative algorithm for solving these formulations is also given. Computer simulation results are presented to demonstrate the efficiency of the proposed technique. |
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| Keywords: | Tomography Missing cone problem Time-varying object Sinogram Iteration |
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