本文選題：短掃描　切入點：濾波反投影　出處：《中北大學》2017年碩士論文　論文類型：學位論文

【摘要】：錐形束CT具有射線利用率高、掃描時間短、縱向分辨率高等優(yōu)點,因此被廣泛應用于實際。錐形束CT重建算法中濾波反投影算法由于數(shù)學形式簡單,易實現(xiàn),得到了廣泛應用。但是受實際應用條件的限制,隨著掃描半徑的減小,錐角增大,重建質量會下降�；谶@個問題,本文主要研究內容如下:(1)首先研究了掃描半徑對扇形束FBP算法重建精度的影響,實驗結果表明,掃描半徑越大,重建圖像質量越好;接著研究了加權函數(shù)對重建精度的影響,實驗結果表明常數(shù)0.5加權比一般加權誤差更大。同時將以上結論推廣到錐束FDK算法。(2)平行重排(PFDK)算法是FDK算法的一種推廣,針對FDK算法隨著錐角增大重建精度下降的問題,給出了一種三維加權PFDK圖像重建算法,并研究了重排過程中徑向插值間隔對重建圖像質量的影響,分別采用三種不同插值總數(shù)(插值間隔分別是1單位,0.5單位,0.25單位)重排數(shù)據(jù)。實驗結果表明給出的三維加權PFDK算法可有效減少錐角對重建結果的影響,且當采用2倍插值總數(shù)時重建結果較好。
[Abstract]:Conical beam CT has the advantages of high ray utilization, short scanning time and high longitudinal resolution, so it is widely used in practice. Because of its simple mathematical form, filtering backprojection algorithm is easy to realize in conical beam CT reconstruction. It has been widely used, but limited by the practical application conditions, with the decrease of scanning radius, the conical angle increases and the reconstruction quality decreases. The main contents of this paper are as follows: firstly, the influence of scanning radius on the reconstruction accuracy of sector beam FBP algorithm is studied. The experimental results show that the larger the scanning radius is, the better the reconstructed image quality is, and then the influence of weighting function on the reconstruction accuracy is studied. The experimental results show that the constant 0.5 weighted error is greater than the general weighting error. At the same time, the above conclusion is extended to the cone-beam FDK algorithm. The parallel rearrangement PFDK) algorithm is a generalization of the FDK algorithm. In view of the problem that the accuracy of the FDK algorithm decreases with the increase of the cone angle, In this paper, a 3D weighted PFDK image reconstruction algorithm is presented, and the effect of radial interpolation interval on image quality during rearrangement is studied. The data are rearranged by three different interpolation totals (interpolation interval is 1 unit / 0. 5 unit / 0. 25 unit). Experimental results show that the proposed 3D weighted PFDK algorithm can effectively reduce the effect of cone angle on the reconstruction results. And the reconstruction result is better when the total number of interpolation is 2 times.
【學位授予單位】：中北大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TP391.41

【參考文獻】

相關期刊論文 前7條

1 李增光;李磊;韓玉;席曉琦;閆鑌;李建新;;錐束CT圓加直線軌跡反投影濾波重建算法[J];光學學報;2016年09期

2 胡婷;潘晉孝;陳平;;基于FDK的任意軌跡重建算法研究[J];核電子學與探測技術;2015年10期

3 Kaijie Lu;劉寶東;Hengyong Yu;;CT輻射量降低和投影數(shù)目研究（英文）[J];CT理論與應用研究;2015年02期

4 楊宏成;高欣;張濤;;基于FDK反投影權重的錐束DSA重建算法[J];江蘇大學學報(自然科學版);2013年02期

5 曾凱,陳志強,張麗,趙自然;基于同心圓軌道的錐形束CT重建算法[J];清華大學學報(自然科學版);2004年06期

6 王蔚林,姜曉彤,羅立民,舒華忠;利用投影數(shù)據(jù)重排進行錐形束體積重建的改進算法[J];東南大學學報(自然科學版);2004年03期

7 曾凱,陳志強,張麗,趙自然;圓軌道錐束重建精度與錐角關系的研究[J];CT理論與應用研究;2003年03期

，

本文編號：1576678