基于衰减SPECT投影数据的重建研究
PDF下载 (456)叶丽颖1,2,王金平1*.基于衰减SPECT投影数据的重建研究[J].宁波大学学报(理工版),2015,28(01):65-69.DOI:
YE Li-ying1,2,WANG Jin-ping1*.Reconstruction from Attenuated SPECT Projection Data[J].Journal of Ningbo University(Natural Science & Engineering Edition),2015,28(01):65-69.DOI:
| Title: | Reconstruction from Attenuated SPECT Projection Data |
| 作者: | 叶丽颖1, 2, 王金平1* |
| Author(s): | YE Li-ying1, 2, WANG Jin-ping1* |
| 关键词: | Novikov反演公式; FBP算法; 扇形束; 图像重建 |
| Keywords: | Novikovs inversion formula; FBP algorithm; fan-beam; image reconstruction |
| 分类号: | O177.6; O175.5 |
| 文献标识码: | A |
| 摘要: | 基于Novikov反演公式针对扇形束投影得到了一种过滤背投影(FBP)算法, 利用欧拉公式预先完成了取实步骤, 使结果中不再需要取实, 大大简化了后期的数据处理计算. 同时采用坐标变换, 使该算法能分别从平行束和扇形束几何特征下获取投影数据中重建图像. |
| Abstract: | In this paper, we present a kind of filtered backprojection (FBP) algorithm for the attenuated fan-beam projection based on the Novikov’s inversion formula. Our result does not need to take real part in the final formula as it did without using Euler’s formula as found in our previous study, which may greatly simplify the data processing and calculating in the further work. Using coordinate transformation, the algorithm is able to reconstruct image from data for parallel-beam and fan-beam geometry, respectively |
| 参考文献 /References: | [1].Novikov R G. An inversion formula for the attenuated X-ray transformation[J]. Ark Math, 2002, 40(1):145-167. [2].Shepp L, Logan B. The Fourier reconstruction of a head section[J]. IEEE Trans Nucl Sci, 1974, 21(3):21-43. [3].Tretiak O, Metz C. The exponential Radon transform[J]. SIAM J Appl Math, 1980, 39(2):341-354. [4].Herman G T, Naparstek A V. Fast image reconstruction based on a Radon inversion formula appropriate for rapidly collected data[J]. SIAM J Appl Math, 1977, 33(3): 511-533. [5].Horn B K P. Fan-beam reconstruction methods[J]. Proc IEEE, 1979, 67(12):1616-1633. [6].You J, Zeng G L, Liang Z. FBP algorithms for attenuated fan-beam projections[J]. Inverse Problems, 2005, 21(3): 1179-1192. [7].Natterer F. Inversion of the attenuated Radon transform[J]. Inverse Problems, 2001, 17(1):113-119. [8].Huang Q, You J, Zeng G L. Reconstruction from uniformly attenuated SPECT projection data using the DBH method[J]. IEEE Trans Med Imag, 2009, 28(1):17- 29. |
| 备注/Memo: | 收稿日期: 2013?12?13. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/基金项目: 国家自然科学基金（61271398）.第一作者: 叶丽颖（1987－）, 女, 浙江宁波人, 在读硕士研究生, 主要研究方向: 积分变换与图像处理. E-mail: yly_1987@163.com*通信作者: 王金平（1962－）, 男, 湖北武汉人, 教授, 主要研究方向: 积分变换与图像处理. E-mail: wangjinping@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
