基于凸优化的立体透视X射线成像标记三维重建方法研究

Study on Three-dimensional Reconstruction Method of Stereoscopic X-ray Imaging Markers Based on Convex Optimization

针对立体X射线透视立体影像同一标记对应的两条视线并不严格相交导致无法精确重建标记的问题,文章提出了一种基于凸优化的由粗到细的两阶段标记三维重建方法。首先,使用传统的直接线性变换方法从间隔采集的两幅X射线影像中对标记进行三维粗重建;然后,将线性投影模型与两极约束结合起来,将三维重建优化问题转化为凸优化问题。在仿真血管支架标记数据和真实X射线血管支架标记图像上进行了重建实验。结果表明,文章所提出的方法比传统的重建方法获得了更好的结果。

Aiming at the problem that the two lines of sight corresponding to the same marker in a stereoscopic X-ray fluoroscopic stereo image do not strictly intersect with each other,resulting in the inability to accurately reconstruct the markers,this paper proposes a two-stage marker three dimensional(3D)reconstruction method based on convex optimization from coarse to fine.First,3D coarse reconstruction of the markers from two X-ray images acquired at intervals is performed using the traditional direct linear transformation method;then,the 3D reconstruction optimization problem is transformed into a convex optimization problem by combining the linear projection model with bipolar constraints.Reconstruction experiments were performed on simulated stent-graft marker data and real X-ray stent-graft marker images.The results demonstrate that the proposed method obtained better results than the conventional reconstruction methods.