三维锥形束CT成像FDK重建算法发展综述

在各种三维锥束重建算法中,近似算法由于数学形式上简单,实现起来容易,而且在锥角比较小的情况下,能够取得较好的重建效果,所以在实际中有着广泛的应用。在各种基于滤波反投影的近似算法中,FDK类型的算法一直是实际应用中的主流。鉴于FDK方法巨大的实用价值,本文对它的历史和目前的发展,包括标准FDK、推广到任意轨道的G-FDK、以及着眼于提高重建速度或重建精度的其它FDK衍生算法等作了一个回顾和总结,并对实际应用中FDK存在的问题作了进一步的讨论分析,最后对FDK算法理论的发展进行了展望。

Review of recent development in FDK reconstruction algorithms for 3D cone beam CT

Among all kinds of reconstruction algorithms for 3D cone-beam CT, approximate algorithms are widely used in practice, because they have simple mathematics expressions, and can be easily implemented. The acquired reconstruction effect is good when cone angle is small. Among various approximate algorithms based in filtered back-projection, Feldkamp-type algorithms are the mainstream methods in practice all the time. Whereas Feldkamp-type algorithms have tremendous practical value, in this paper we present a brief review of the history and recent development for them, including standard FDK, general FDK, which is generalized to arbitrary orbits and other derived algorithms for FDK considering reconstruction speed or precision. Then it makes a discussion and analysis aiming at the existing problems of FDK algorithms, finally it makes a prospect for the theoretic development of FDK algorithms.