一种滤波反投影算法的加速方式

Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (2): 401-404.

一种滤波反投影算法的加速方式

乔志伟1,2，韩〓焱1,2，魏学业1

(1. 北京交通大学电子信息工程学院, 北京 100044; 
2. 中北大学电子测试技术国防科技重点实验室，山西太原 030051)

出版日期:2010-02-03 发布日期:2010-01-03

Acceleration method of the filtered back projection algorithm

QIAO Zhi-wei1,2, HAN Yan1,2, WEI Xue-ye1

(1. School of Electronics and information engineering, Beijing Jiaotong Univ., Beijing 100044, China;
2. Key Lab. of national defense technology on electronic measurement,Taiyuan 030051, China)

Online:2010-02-03 Published:2010-01-03

摘要/Abstract

摘要：

提出了滤波反投影（filtered back projection, FBP）算法的基于被动式射线驱动和预插值的反投影策略。首先对滤波后的投影采用线性插值预插值到更加精细的间隔上，然后对每个角度下的滤波投影用被动式射线驱动法反投影，得到重建图像。反投影时为了减少求取投影地址时三角函数的运算，将三角函数值事先求得并存到查找表中，需要时调用。反投影时采用简单的最邻近插值法插值，以节省插值时间。仿真实验表明，这种方法可以有效提高反投影速度。

Abstract:

A back projection method of the filtered back projecion algorithm is proposed based on passive raydriven technique and preinterpolation technique. Firstly, the filtered projections are interpolated to more dense points by linear interpolation. Then, every angle’s projection is back projected using passive raydriven technique and the reconstructed image is made. For decreasing the calculation amount of angle functions for obtaining projection address, the trigonometric functions’ values are calculated in advance and stored into a table which can be indexed if needed. The simple neighbor interpolation method is used during backprojecion so as to reduce time for interpolation. The simulation experiments illustrate that the method effectively improve the back projection speed.

乔志伟1,2，韩焱1,2，魏学业1. 一种滤波反投影算法的加速方式[J]. Journal of Systems Engineering and Electronics, 2010, 32(2): 401-404.

QIAO Zhi-wei1,2, HAN Yan1,2, WEI Xue-ye1. Acceleration method of the filtered back projection algorithm[J]. Journal of Systems Engineering and Electronics, 2010, 32(2): 401-404.