Albiol Francisco, Corbi Alberto, Albiol Alberto
Instituto de Física Corpuscular, Consejo Superior de Investigaciones Científicas, Universitat de València, Valencia, Spain.
Universidad Politècnica de València, Valencia, Spain.
Radiol Phys Technol. 2017 Mar;10(1):68-81. doi: 10.1007/s12194-016-0369-y. Epub 2016 Jul 18.
We explore three different alternatives for obtaining intrinsic and extrinsic parameters in conventional diagnostic X-ray frameworks: the direct linear transform (DLT), the Zhang method, and the Tsai approach. We analyze and describe the computational, operational, and mathematical background differences for these algorithms when they are applied to ordinary radiograph acquisition. For our study, we developed an initial 3D calibration frame with tin cross-shaped fiducials at specific locations. The three studied methods enable the derivation of projection matrices from 3D to 2D point correlations. We propose a set of metrics to compare the efficiency of each technique. One of these metrics consists of the calculation of the detector pixel density, which can be also included as part of the quality control sequence in general X-ray settings. The results show a clear superiority of the DLT approach, both in accuracy and operational suitability. We paid special attention to the Zhang calibration method. Although this technique has been extensively implemented in the field of computer vision, it has rarely been tested in depth in common radiograph production scenarios. Zhang's approach can operate on much simpler and more affordable 2D calibration frames, which were also tested in our research. We experimentally confirm that even three or four plane-image correspondences achieve accurate focal lengths.
我们探索了在传统诊断X射线框架中获取内参和外参的三种不同方法:直接线性变换(DLT)、张氏方法和蔡氏方法。当将这些算法应用于普通X光片采集时,我们分析并描述了它们在计算、操作和数学背景方面的差异。为了我们的研究,我们开发了一个初始的3D校准框架,在特定位置带有锡制十字形基准标记。所研究的这三种方法能够从3D到2D点相关性推导出投影矩阵。我们提出了一组指标来比较每种技术的效率。其中一个指标包括探测器像素密度的计算,在一般X射线设置中,它也可以作为质量控制序列的一部分。结果表明,DLT方法在准确性和操作适用性方面都具有明显优势。我们特别关注张氏校准方法。尽管这种技术在计算机视觉领域已被广泛应用,但在普通X光片生产场景中很少进行深入测试。张氏方法可以在更简单、更经济的2D校准框架上运行,我们的研究中也对其进行了测试。我们通过实验证实,即使是三到四个平面图像对应关系也能实现准确的焦距。