Dennerlein Frank, Noo Frédéric, Schöndube Harald, Lauritsch Günter, Hornegger Joachim
Department of Radiology, University of Utah, 729 Arapeen Drive, Salt Lake City, UT 84102, USA.
IEEE Trans Med Imaging. 2008;27(7):887-96. doi: 10.1109/TMI.2008.922705.
In this paper, we introduce a new algorithm for 3-D image reconstruction from cone-beam (CB) projections acquired along a partial circular scan. Our algorithm is based on a novel, exact factorization of the initial 3-D reconstruction problem into a set of independent 2-D inversion problems, each of which corresponds to finding the object density on one, single plane. Any such 2-D inversion problem is solved numerically using a projected steepest descent iteration scheme. We present a numerical evaluation of our factorization algorithm using computer-simulated CB data, without and with noise, of the FORBILD head phantom and of a disk phantom. First, we study quantitatively the impact of the reconstruction parameters on the algorithm performance. Next, we present reconstruction results for visual assessment of the achievable image quality and provide, for comparison, results obtained with two other state-of-the-art reconstruction algorithms for the circular short-scan.
在本文中，我们介绍了一种新算法，用于从沿部分圆周扫描采集的锥束（CB）投影进行三维图像重建。我们的算法基于一种新颖的、将初始三维重建问题精确分解为一组独立二维反演问题的方法，每个二维反演问题对应于在单个平面上找到物体密度。任何此类二维反演问题都使用投影最速下降迭代方案进行数值求解。我们使用计算机模拟的CB数据（包括有噪声和无噪声的），对FORBILD头部模型和圆盘模型进行了因式分解算法的数值评估。首先，我们定量研究了重建参数对算法性能的影响。接下来，我们给出重建结果以直观评估可实现的图像质量，并为作比较提供了使用其他两种用于圆形短扫描的最新重建算法所获得的结果。
