在透视运动学分析中定义水平面的方法

Takahiro Arakawa , Kenichi Kono , Tetsuya Tomita , Takaharu Yamazaki , Masashi Tamaki , Shoji Konda , Teruya Ishibashi , Ryota Yamagami , Kohei Kawaguchi , Tomofumi Kage , Ryo Murakami , Hiroshi Inui , Shuji Taketomi , Sakae Tanaka
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引用次数: 0

摘要

目的 骨骼关节和假体的体内运动学受重力影响,因此必须考虑绝对倾斜。然而,目前的透视运动学分析无法测量倾斜度。本研究介绍并验证了一种在透视系统中定义水平面以测量物体倾斜度的方法。方法使用水平仪(灵敏度为 0.02°,精确度为 ±0.06°)水平调整平整度为 0.03/100 mm 的矩形金属板(200 × 200 × 10 mm),并根据二维透视图像计算其三维坐标。我们开发了一个坐标计算公式,并通过计算机模拟对精确度和准确性进行了评估。实际透视测试包括四个方面:相同条件下的精确度;不同 X 射线管高度下的精确度;改变 X 射线管高度时的再现性;平板倾斜和返回时的再现性。实际实验结果表明,本研究中使用的设备在 xy 平面上测得的水平面倾斜度为 -0.2 ± 0.1°,在 yz 平面上测得的水平面倾斜度为 0.3 ± 0.0°。F 检验表明,计算机模拟与实际实验之间没有显著差异。结论这种方法可以在透视运动学分析中定义水平面并测量物体的倾斜度。
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Method for defining the horizontal plane in fluoroscopic kinematic analysis

Purpose

In vivo kinematics of skeletal joints and prostheses is affected by gravity; therefore, absolute tilt must be taken into account. However, current fluoroscopic kinematic analysis cannot measure the tilt. This study introduces and validates a method for defining the horizontal plane in fluoroscopy systems to measure the tilt of an object.

Methods

A rectangular metal plate (200 ​× ​200 ​× ​10 ​mm) with a flatness of 0.03/100 ​mm was horizontally adjusted using a leveler (sensitivity of 0.02° and accuracy of ±0.06°), and its three-dimensional coordinate was calculated from a two-dimensional fluoroscopic image. A coordinate calculation formula was developed, with precision and accuracy assessed via computer simulations. Actual fluoroscopic tests included four aspects: accuracy under the same condition; accuracy under different X-ray tube height; reproducibility when changing X-ray tube height; and reproducibility when the flat panel was tilted and returned.

Results

The theoretical measurement error indicated by the computer simulations was 0.0 ​± ​0.2° on the xy-plane and 0.0 ​± ​0.0° on the yz-plane. The actual experimental results showed that the horizontal plane tilt was measured to be −0.2 ​± ​0.1° tilt on the xy-plane and 0.3 ​± ​0.0° tilt on the yz-plane for the device used in this study. The F-test showed no significant differences between the computer simulations and the actual experiments. There were no significant differences between the four actual tests.

Conclusions

This method enables the horizontal plane to be defined and the tilt of an object to be measured in fluoroscopic kinematic analysis.

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