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胸廓三维形状的测量。

Measurements of the three-dimensional shape of the rib cage.

作者信息

Dansereau J, Stokes I A

机构信息

Department of Mechanical Engineering, Ecole Polytechnique de Montréal, Québec.

出版信息

J Biomech. 1988;21(11):893-901. doi: 10.1016/0021-9290(88)90127-3.

Abstract

A stereoradiographic method was developed to measure the three-dimensional shape of the rib cage in vivo in order to provide descriptive data and to study symmetry in the normal population. The method is also intended for use in description of rib asymmetry in scoliosis. Rib midlines were reconstructed from digitized points on lines drawn through the middle of each rib image in stereo-radiographs of the rib cage. The method relied on pairing points in one image with a corresponding point found in the second image. The error term obtained from a Direct Linear Transformation (DLT) reconstruction program was used for optimizing this correspondence. The method was used on test objects of known shape where the standard deviation of measurement errors was found to be 0.72 mm. Studies in which different sets of points on the rib midlines were selected for digitizing showed that the precision of the method was 1.04 mm (S.D.). Rib shape was described by intrinsic measurements (arc and chord length, maximum curvature and enclosed area) and rib orientation by extrinsic measurements (frontal and lateral angulations and posterior rib cage rotation). No statistically significant rib shape asymmetry was found among ten subjects without spinal or thoracic abnormalities, although a trend of inequality of rib angulation at all anatomical levels was observed.

摘要

为了提供描述性数据并研究正常人群的对称性,开发了一种立体放射照相方法来在体内测量胸廓的三维形状。该方法也旨在用于描述脊柱侧弯中的肋骨不对称。通过胸廓立体放射照片中每条肋骨图像中部所画线上的数字化点重建肋骨中线。该方法依靠将一幅图像中的点与在第二幅图像中找到的对应点进行配对。从直接线性变换(DLT)重建程序获得的误差项用于优化这种对应关系。该方法应用于已知形状的测试对象,发现测量误差的标准差为0.72毫米。对肋骨中线不同点集进行数字化选择的研究表明,该方法的精度为1.04毫米(标准差)。肋骨形状通过内在测量(弧长和弦长、最大曲率和封闭面积)来描述,肋骨方向通过外在测量(额状面和侧面角度以及胸廓后旋转)来描述。在十名无脊柱或胸廓异常的受试者中未发现统计学上显著的肋骨形状不对称,尽管在所有解剖水平上观察到肋骨角度不平等的趋势。

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