Establishment of Cordinate Transformation Technique for Growth Analysis.

出生后颌面骨的形成动力学是一个复杂的过程。下颌骨的生长模式已经通过应用各种方法来评估骨骼的大小或位置。然而，缺乏描述真实形状的信息无法评估生活中生长部位的变化。本文介绍了一种新的生长分析方法，并对25例7 ~ 19岁，平均13岁的纵向头测数据进行了评估。新的分析公式为：Fv = SIGMA (abs (Vs-Vh) *D1)Vs：生长速度，Vh：平均速度D1：相同形状相邻两点之间的距离gn = SIGMA (abs (S))abs (S)：面积变化ah = Fv + gnh在H为最小值处定义叠加位置。应用数学坐标变换技术对下颌骨生长过程的重建进行量化和可视化。从结果来看，这种研究人类生长的新转变方法可能为临床医生提供长期治疗计划的有价值的工具。

The dynamics of the maxillofacial bone formation during postnatal growth has a complex process. The growth pattern of the mandible has been assessed by the application of various methods developed for the cephalometric measurement of the skeletal size or positions. However, the lack of information describing the real shapes cannot evaluate the changes of growth sites in lives. In this article, new method for growth analysis was introduced and 25 individuals with longitudinal cephalometric data aged 7-19 years, mean 13 years were evaluated.New analysis was described following equations :Fv = SIGMA (abs (Vs-Vh) *D1)Vs : Growth velocity, Vh : average velocityD1 : Distance between neighboring two points on same shapesGn = SIGMA (abs (S) )abs (S) : changes of areaH = Fv + GnSuperposed position was difined where H presented the minimum value. The application of this new method using mathmatical coordinate transformation technique was assessed to quantify and to visualize the mandibular bone remodeling during growth. From the results, this new transformation approach to the study of human growth may provide clinicians with a valuable tool for long ranged treatment planning.