【摘要】 目的运用极坐标的方法实现对汉族美貌人群软硬组织标志点理想位置个体化预测。方法选择62名某高校大一美貌学生,年龄19～22岁,拍摄头颅侧位定位片。以Bolton(Bo)点为极点,Bo-N线为极轴建立极坐标系。分别测量颌面部软硬组织标志点的极坐标,测量结果通过Minitab 15和SPSS Statistics 17.0软件进行统计学分析。结果所得测量距离(极径)与Bo-N(极径L)和Lsinα有相关关系(P<0.01),所得测量角度(极角)与N-Bo-Sn(α角)均有相关关系(P<0.05),所得测量颅颌面软硬组织标志点的位置均可通过与二者相关的回归方程来表示(P<0.01)。颏顶点Gn的极坐标具备以下特征:①极径Bo-Gn(L’)与Bo-N(L)成正相关关系:L’=2.067+1.111L-0.545Lsinα。②极角Sn-Bo-Gn(β)与N-Bo-Sn(α)成正相关关系:β=1.234α+21.749(P<0.01)。结论任意患者,测量其Bo-N(L)和N-Bo-Sn(α),均可通过极坐标的回归方程得出其颌面部软硬组织标志点的理想位置。更多还原

【Abstract】 Objective To make individualized prediction of the ideal locations of the marking points on soft and hard tissues in beautiful people of Han nationality with polar coordinates.Methods A total of 62 beautiful first-year(aged 19-22) college students of a university were selected to take their cephalometric portal films;polar coordinates were established with Bolton(Bo) point as the extreme point,and Bo-N line as the polar axis.The polar coordinates(polar distance and polar angle) of the marking points on maxillofacial soft and hard tissues were measured respectively,and the measurements were statistically analyzed with Minitab 15(simplified Chinese) and SPSS Statistics 17.0.Results All the measured distances(polar distance) were correlated with Bo-N(polar radius L) and Lsinα(P<0.01);all the measured angles(polar angle) were correlated with N-Bo-Sn(angle α)(P<0.05);all the measurements of the locations of marking points on soft and hard tissues could be expressed by the regression equations related to Bo-N and Lsinα(P<0.01).The polar coordinates of gnathion(Gn) showed the following features:①the polar distance Bo-Gn(L′) and Bo-N(L) were positively correlated:L′=2.067+1.111L-0.545Lsinα.②The polar angle Sn-Bo-Gn(β)and N-Bo-Sn(α) were positively correlated:β=1.234α+21.749.(P<0.01) Conclusions For any patient,by measurement of their Bo-N(L) and N-Bo-Sn(α),regression equations of polar coordinates can be used to predict the ideal locations of the marking points on their maxillofacial soft and hard tissues.更多还原