A Novel Algebraic Reconstruction Technique of Memory Optimization and Its Fast Implementation

QIN Zhong-yuan; MOU Xuan-qin; WANG Ping; CAI Yuan-long

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A Novel Algebraic Reconstruction Technique of Memory Optimization and Its Fast Implementation

更新时间：2025-07-16

- A Novel Algebraic Reconstruction Technique of Memory Optimization and Its Fast Implementation
- Acta Electronica Sinica Vol. 31, Issue 9, Pages: 1327-1329(2003)
- 作者机构：
  
  西安交通大学电子与信息工程学院,陕西,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： R445
- Published：2003
- 稿件说明：
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QIN Zhong-yuan, MOU Xuan-qin, WANG Ping, et al. A Novel Algebraic Reconstruction Technique of Memory Optimization and Its Fast Implementation[J]. Acta Electronica Sinica, 2003, 31(9): 1327-1329.
DOI：

QIN Zhong-yuan, MOU Xuan-qin, WANG Ping, et al. A Novel Algebraic Reconstruction Technique of Memory Optimization and Its Fast Implementation[J]. Acta Electronica Sinica, 2003, 31(9): 1327-1329. DOI：

摘要

本文提出一种在图像的代数重建算法(ART)中能够有效地减少内存占用的快速实现方法

将直接ART方法中的每个投影每条射线的系数矩阵分解为射线矩阵和单条射线的系数矩阵.射线矩阵保存每条射线的斜率和截距

系数矩阵在每次迭代之前计算得到

考虑到同一投影角下每条射线的相关性

系数矩阵可以递推计算

从而极大地节省了时间.实验选用Shepp-logan模型

实验结果表明了本实现方法的实用性.

Abstract

An efficient implement for Algebraic Reconstruction Technique (ART) is presented in this paper.The coefficient matrix in the original ART is split into radial matrix and the coefficient matrix of the radial.The slope and intercept of each radial are kept in the radial matrix.The coefficient matrix of the radial is calculated before iteration

and considering the correlation of the lines with the same projection angle it can be computed iteratively

with much time saved.The experiments using Shepp-logan phantom show that the results of this method are as good as the traditional one with great reduction of memory.

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