Hussels W, Nanda R S
Am J Orthod. 1984 May;85(5):411-23. doi: 10.1016/0002-9416(84)90162-3.
Cephalometric analyses based on angular and linear measurements have obvious fallacies, which have been discussed in detail by Moyers and Bookstein. However, the clinical application of such an analysis by the orthodontic profession in treatment planning is widely accepted. Variations of angle ANB are commonly used to determine relative jaw relationships in most of the cephalometric evaluations. Several authors, including points A and B influences angle ANB, as does rotational growth of the upper and lower jaws. In addition, the authors point out that growth in a vertical direction (distance N to B) and an increase of the dental height (distance A to B) may contribute to changes in angle ANB. For a Class I relation (Wits = 0 mm), a mathematical formula has been developed which enables the authors to study the geometric influence of angle ANB caused by the following four effects: (1) rotation of the jaws and/or occlusal plane relative to the anterior cranial base; (2) anteroposterior position of N relative to point B, (3) vertical growth (distance N to B); (4) increase in dental height (distance A to B). It was observed that, contrary to the common belief that an ANB angle of 2 +/- 3.0 degrees is considered normal for a skeletal Class I relation, the calculated values of angle ANB will vary widely with changes in these four controlling factors under the same skeletal Class I conditions (Wits = 0 mm). Therefore, in a case under consideration, angle ANB must be corrected for these geometric effects in order to get a proper perspective of the skeletal discrepancy. This is facilitated by comparing the measured ANB angle with the corresponding ANB angle calculated by a formula for a Class I relationship. The corresponding calculated angle ANB can be taken from the tables which are based upon the formula using the same values for SNB, omega (angle between occlusal plane and anterior cranial base), b (which is distance N to B) and a (dental height measured as perpendicular distance A to occlusal plane plus perpendicular distance occlusal plane to B). The difference between actual and calculated angle ANB is a measurement of the severity of the skeletal discrepancy. This leads to a new definition of what denotes skeletal Class II and III relationships, since and angle ANB calculated for a skeletal Class I (Wits = 0 mm) can vary widely and can be either negative or positive.(ABSTRACT TRUNCATED AT 400 WORDS)
基于角度和线性测量的头影测量分析存在明显的谬误,莫耶斯和布克斯坦已对此进行了详细讨论。然而,正畸专业在治疗计划中对这种分析的临床应用却被广泛接受。在大多数头影测量评估中,常用ANB角的变化来确定颌骨的相对关系。包括A点和B点在内的几位作者指出,A点和B点会影响ANB角,上下颌的旋转生长也会如此。此外,作者指出垂直方向的生长(N到B的距离)和牙高度的增加(A到B的距离)可能会导致ANB角的变化。对于Ⅰ类关系(Wits=0毫米),已开发出一个数学公式,使作者能够研究由以下四种效应引起的ANB角的几何影响:(1)颌骨和/或咬合平面相对于前颅底的旋转;(2)N相对于B点的前后位置;(3)垂直生长(N到B的距离);(4)牙高度的增加(A到B的距离)。据观察,与普遍认为的对于骨骼Ⅰ类关系,ANB角2±3.0度被视为正常的观点相反,在相同的骨骼Ⅰ类条件下(Wits=0毫米),随着这四个控制因素的变化,ANB角的计算值会有很大差异。因此,在考虑一个病例时,必须针对这些几何效应校正ANB角,以便正确了解骨骼差异情况。将测量的ANB角与根据Ⅰ类关系公式计算出的相应ANB角进行比较有助于实现这一点。相应的计算出的ANB角可从基于该公式的表格中获取,该公式使用与SNB、ω(咬合平面与前颅底之间的角度)、b(即N到B的距离)和a(牙高度,测量为从A到咬合平面的垂直距离加上从咬合平面到B的垂直距离)相同的值。实际ANB角与计算出的ANB角之间的差异是骨骼差异严重程度的一种度量。这导致了对骨骼Ⅱ类和Ⅲ类关系定义的重新界定,因为为骨骼Ⅰ类(Wits=0毫米)计算出的ANB角可能会有很大差异,可能为负也可能为正。(摘要截于400字)