Schulze R K W, Weinheimer O, Brüllmann D D, Röder F, d'Hoedt B, Schoemer E
Department of Oral Surgery, Johannes Gutenberg-University, Mainz, Germany.
Dentomaxillofac Radiol. 2005 Jul;34(4):205-11. doi: 10.1259/dmfr/56357032.
Presentation and validation of software developed for automated and accurate application of a reference-based algorithm (reference sphere method: RSM) inferring the effective imaging geometry from quantitative radiographic image analysis.
The software uses modern pattern recognition and computer vision algorithms adapted for the particular application of automated detection of the reference sphere shadows (ellipses) with subpixel accuracy. It applies the RSM algorithm to the shadows detected, thereby providing three-dimensional Cartesian coordinates of the spheres. If the three sphere centres do not lie on one line, they uniquely determine the imaging geometry. Accuracy of the computed coordinates is investigated in a set of 28 charge-coupled device (CCD)-based radiographs of two human mandible segments produced on an optical bench. Each specimen contained three reference spheres (two different radii r1=1.5 mm, r2=2.5 mm). True sphere coordinates were assessed with a manually operated calliper. Software accuracy was investigated for a weighted and unweighted algebraic ellipse-fitting algorithm.
The critical depth- (z-) coordinates revealed mean absolute errors ranging between 1.1+/-0.7 mm (unweighted version; r=2.5 mm) and 1.4+/-1.4 mm (weighted version, r=2.5 mm), corresponding to mean relative errors between 5% and 6%. Outliers resulted from complete circular dense structure superimposition and one obviously deformed reference sphere.
The software provides information fundamentally important for the image formation and geometric image registration, which is a crucial step for three-dimensional reconstruction from > or =2 two-dimensional views.
展示并验证一款软件开发成果,该软件用于通过定量放射图像分析自动且准确地应用基于参考的算法(参考球方法:RSM)来推断有效成像几何结构。
该软件使用了现代模式识别和计算机视觉算法,这些算法经过调整以适用于以亚像素精度自动检测参考球阴影(椭圆)这一特定应用。它将RSM算法应用于检测到的阴影,从而提供球体的三维笛卡尔坐标。如果三个球心不在同一条直线上,它们就能唯一确定成像几何结构。在一组由光学平台上生成的28张基于电荷耦合器件(CCD)的两个人类下颌骨段的X光片中,研究计算坐标的准确性。每个样本包含三个参考球(两种不同半径r1 = 1.5毫米,r2 = 2.5毫米)。使用手动卡尺评估真实球坐标。针对加权和非加权代数椭圆拟合算法研究软件准确性。
关键深度(z)坐标显示平均绝对误差在1.1±0.7毫米(非加权版本;r = 2.5毫米)和1.4±1.4毫米(加权版本,r = 2.5毫米)之间,对应平均相对误差在5%至6%之间。异常值是由完全圆形的密集结构叠加和一个明显变形的参考球导致的。
该软件提供了对于图像形成和几何图像配准至关重要的信息,而这是从≥2个二维视图进行三维重建的关键步骤。