| 一类带限函数的外推算法及在有限角图像重建中的应用 |
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| 引用本文： | 朱季云,渠刚荣.一类带限函数的外推算法及在有限角图像重建中的应用[J].北京交通大学学报(自然科学版),2007,31(6):88-91,95. |
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| 作者姓名： | 朱季云 渠刚荣 |
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| 作者单位： | 北京交通大学,理学院,北京,100044;北京交通大学,理学院,北京,100044 |
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| 摘 要： | 将带限函数的外推Gerchberg-Papoulis算法在维数和已知区域方面进行了推广,证明了推广的算法在L2范数下的收敛性,并应用于限制角图像重建.在一维情形下进行了数值模拟,验证了推广后算法的有效性.
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| 关 键 词： | 带限函数外推 Gerchberg-Papoulis算法 限制图像重建 Radon变换 |
| 文章编号： | 1673-0291（2007）06-0088-04 |
| 收稿时间： | 2006-06-08 |
| 修稿时间： | 2006年6月8日 |
Extrapolation Algorithm on A Class of Band-Limited Function and Its Application to Angle-Limited Image Reconstruction |
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| ZHU Ji-yun,QU Gang-rong.Extrapolation Algorithm on A Class of Band-Limited Function and Its Application to Angle-Limited Image Reconstruction[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,2007,31(6):88-91,95. |
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| Authors: | ZHU Ji-yun QU Gang-rong |
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| Abstract: | We generalize the Gerchberg-Papoulis algorithm of band-limited function in dimensional number and known region, and prove the convergence of the generalized algorithm in L^2- Norm. We also apply this algorithm to the angle-limited image reconstruction. We give the numerical simulation in one-dimension situation and show the efficiency of this algorithm. |
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| Keywords: | band-limited function extrapolation Gerchberg-Papoulis algorithm angle-limited image reconstruction Radon transform |
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