Zhu Xiangyang, Han Jing, Zhang Shijian, Min Xiongkuo, Liu Jiannan, Zhai Guangtao
Resident, Institute of Image Communication and Network Engineering, Shanghai Jiao Tong University, Shanghai, China.
Physician, Shanghai Ninth People's Hospital Affiliated to Shanghai Jiao Tong University School of Medicine, Shanghai, China.
J Oral Maxillofac Surg. 2019 Mar;77(3):664.e1-664.e16. doi: 10.1016/j.joms.2018.10.023. Epub 2018 Dec 28.
For severe mandibular or maxillary defects across the midline, doctors often lack data on the shape of the jaws when designing virtual surgery. This study sought to repair the personalized 3-dimensional shape of the jaw, particularly when the jaw is severely damaged.
Two linear regression methods, denoted method I and method II, were used to reconstruct key points of the severely damaged maxilla or mandible based on the remaining jaw. The predictor variable was the position of key points. Outcome variables were the position of key points and the error between the predicted and actual positions. Another variable was the average error. In the final data analysis, the effect of the method was judged based on the mean error and error probability distribution.
Computed tomographic data of jaws from 44 normal adults in East China were collected over 2 years by the Shanghai Jiao Tong University School of Medicine (Shanghai, China). Sixteen 16 key points were extracted for each jaw. Method I showed that 2-dimensional regression can yield the best overall result and that the position error of most points can be decreased to smaller than 5 mm. The result of method II was similar to that of method I but showed cumulative errors.
Linear regression can be used to locate key points. Two-dimensional regression has the best effect, which can be used as a reference to develop a surgical plan and perform surgery.
对于跨越中线的严重下颌骨或上颌骨缺损,医生在设计虚拟手术时往往缺乏颌骨形状的数据。本研究旨在修复颌骨的个性化三维形状,特别是当颌骨严重受损时。
使用两种线性回归方法,即方法I和方法II,基于剩余的颌骨重建严重受损上颌骨或下颌骨的关键点。预测变量是关键点的位置。结果变量是关键点的位置以及预测位置与实际位置之间的误差。另一个变量是平均误差。在最终数据分析中,根据平均误差和误差概率分布判断方法的效果。
上海交通大学医学院(中国上海)在两年内收集了44名中国东部正常成年人颌骨的计算机断层扫描数据。为每个颌骨提取了16个关键点。方法I表明二维回归可产生最佳总体结果,且大多数点的位置误差可降至小于5毫米。方法II的结果与方法I相似,但显示出累积误差。
线性回归可用于定位关键点。二维回归效果最佳,可作为制定手术方案和进行手术的参考。