有限角度范围数据的方向电视图像重建算法
Directional-TV Algorithm for Image Reconstruction from Limited-Angular-Range Data
摘要：
在X射线CT中，从有限角度范围内收集的数据进行图像重建的调查仍然是一个活跃的研究课题，因为它可以深入了解具有实际意义的成像工作流程的发展。然而，这个重建问题是众所周知的挑战，因为它是高度病态的。在这项工作中，我们研究了基于优化的图像重建数据采集在一个有限的角度范围内，这是远远小于短扫描CT的角度范围。我们首先制定的重建问题作为一个凸优化计划与方向全变差（TV）的约束应用于图像，然后开发一个迭代算法，称为方向TV（DTV）算法的图像重建，通过解决优化程序。我们使用的DTV算法重建图像的数据收集在各种有限的角度范围内的乳房和酒吧幻影的临床和工业应用的相关性。该研究表明，DTV算法准确地恢复幻影从产生的数据在一个显着减少的角度范围内，它大大减少了文物观察，否则在现有的算法重建。我们还获得了经验条件的最小角度范围内足够的数字精确的图像重建与DTV算法。
英文摘要：
Investigation of image reconstruction from data collected over a limited angular range in X-ray CT remains a topic of active research because it may yield insight into the development of imaging workflow of practical significance. This reconstruction problem is well-known to be challenging, however, because it is highly ill-conditioned. In the work, we investigate optimization-based image reconstruction from data acquired over a limited-angular range that is considerably smaller than the angular range in short-scan CT. We first formulate the reconstruction problem as a convex optimization program with directional total-variation (TV) constraints applied to the image, and then develop an iterative algorithm, referred to as the directional-TV (DTV) algorithm for image reconstruction through solving the optimization program. We use the DTV algorithm to reconstruct images from data collected over a variety of limited-angular ranges for breast and bar phantoms of clinical- and industrial-application relevance. The study demonstrates that the DTV algorithm accurately recovers the phantoms from data generated over a significantly reduced angular range, and that it considerably diminishes artifacts observed otherwise in reconstructions of existing algorithms. We have also obtained empirical conditions on minimal angular ranges sufficient for numerically accurate image reconstruction with the DTV algorithm.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
