Method of Reconstructing Sectional Image Based on  Tomosynthesis and Vandermonde Matrix

Wen Junhai  1; Jia Zhongning  2; Cheng Jingzhi  1

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Method of Reconstructing Sectional Image Based on Tomosynthesis and Vandermonde Matrix

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- Method of Reconstructing Sectional Image Based on Tomosynthesis and Vandermonde Matrix
- Acta Electronica Sinica Issue 4, (1999)
- 作者机构：
  
  1. 西安交通大学生物医学工程研究所
  2. 太原工业大学电子信息系
  3. 西安交通大学生物医学工程研究所太原工业大学电子信息系
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP391.4
- Published：1999
- 稿件说明：
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[1]温俊海,贾中宁,程敬之.利用Vandermonde矩阵快速重建断层像的层析摄影合成方法[J].电子学报,1999(04):72-75.

Wen Junhai 1, Jia Zhongning 2, Cheng Jingzhi 1. Method of Reconstructing Sectional Image Based on Tomosynthesis and Vandermonde Matrix[J]. Acta Electronica Sinica, 1999, (4).
[1]温俊海,贾中宁,程敬之.利用Vandermonde矩阵快速重建断层像的层析摄影合成方法[J].电子学报,1999(04):72-75. DOI：

Wen Junhai 1, Jia Zhongning 2, Cheng Jingzhi 1. Method of Reconstructing Sectional Image Based on Tomosynthesis and Vandermonde Matrix[J]. Acta Electronica Sinica, 1999, (4). DOI：

摘要

传统ＣＴ需要全方位的投影像，层析摄影合成不需要全方位的投影像，但成像不清晰．频域反卷积影像法（ＦＤＤＩ）克服了传统层析摄影合成方法不清晰的缺点，但ＦＤＤＩ的计算量大，计算中零频率丢失．本文利用Ｖａｎｄｅｒｍｏｎｄｅ矩阵求逆的特性和我们提出的空间域图像移位消去法，可以用较少的计算量求解出卷积方程组，从而快速重建断层像．并用计算机仿真清晰重建了断层像，验证了方法的正确性．

Abstract

Computerized Tomography needs projected images from all directions

while tomosynthesis doesn′t need the information from all directions

but its reconstruction image is indistinct.Frequency Domain Deconvolution Imaging（FDDI） overcomes this shortcoming

but FDDI′s calculation is large

and its zero frequency will be lost.In this paper

we solve convolution equation based on Vandermonde Matrix and the method of image displacement elimination in space domain that we propose

so that we can reconstruct sectional image quickly.We use computer simulation and obtain clear sectional image.

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