Lukić Tibor, Balázs Péter
Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia.
Department of Image Processing and Computer Graphics, University of Szeged, Szeged, Hungary.
Vis Comput. 2022;38(2):695-705. doi: 10.1007/s00371-020-02044-8. Epub 2021 Jan 12.
In this paper, the binary tomographic reconstruction problem for very limited projection data availability is considered. Being this inverse problem highly ill-posed, we propose a new reconstruction model that uses a shape centroid-based regularization term, i.e., we assume that the center of gravity of the object of interest is known, at least approximately, in advance. Motivation for this regularization is found in the close connection between the projection data and the object centroid, as we will show. Experimental evaluation underpins that reasonable results can be obtained from practically minimal amount of projection data, gathered from just one projection direction.
本文考虑了在投影数据可用性非常有限的情况下的二元断层重建问题。由于这个逆问题是高度不适定的，我们提出了一种新的重建模型，该模型使用基于形状质心的正则化项，即我们假设感兴趣物体的重心至少在大致上是预先已知的。正如我们将展示的，这种正则化的动机源于投影数据与物体质心之间的紧密联系。实验评估表明，从仅从一个投影方向收集的几乎最少数量的投影数据中可以获得合理的结果。
