体CT锥束精确图像重建Katsevich算法的理论研究  

Theory Research Katsevich Algorithm of Volume CT Cone-beam Exact Reconstruction Image

作　　者：苗加庆[1] 陈自宽[1] 郑晗[1] 徐辉[1] 

机构地区：[1]成都理工大学工程技术学院,四川乐山614000

出　　处：《CT理论与应用研究（中英文）》2010年第1期9-20,共12页Computerized Tomography Theory and Applications

摘　　要：本文主要介绍了关于新型的锥束CT重建算法——Katsevich算法。首先描述了如何引入Katsevich重建公式，同时介绍了Tam-Dannielson窗口和PI线的一系列与其他重建算法不同的重建方式，指出反投影过程与Feldkamp重建算法的反投影过程是一样的。我们可以利用这个重建算法有效地进行锥束螺旋CT重建，并得到效果理想的图像。我们也可以设计相应的并行算法，便于分析这些算法的复杂度，如：分析算法时间并且采用并行算法加快运行速度。这个方法也可以被用来改进成为其他重建公式（例如Zou和Pan的BPF型反转公式）。In this paper, a new reconstruction approach is presented based on cone-beam CT inversion scheme--Katsevich Algorithm. The beginning of the thesis describes how to introduce Katsevich reconstruction formula, Then it introduces series of reconstruction method of Tam-Dannielson window and PI-line reconstruction algorithm different from other reconstruction methods. The last part of the paper is the similarities of methods between back-projection process and the well-known Feldkamp back-projection process. By utilizing the method mentioned above, the spiral cone-beam CT can be reconstructed effectively and satisfactory results of images can be got; besides, the corresponding parallel algorithm is also designed through this method to facilitate the analysis of these algorithms. Moreover, this method can also be converted into other reconstruction formula. （for example, inverted BPF formula of zou and pan）

关 键 词：PI线段算法 螺旋锥束CT 滤波反投影 

分 类 号：O242.1[理学—计算数学] TP301.6[理学—数学]