Institute of Normal Anatomy, Faculty of Medicine, University of Strasbourg, F-67085 Strasbourg, France.
Am J Phys Anthropol. 2010 Apr;141(4):626-31. doi: 10.1002/ajpa.21227.
Among the numerous pelvic traits presenting sex differences, the obturator foramen is classically described as being oval in males and triangular in females. However, no demonstrations or detailed studies seem available in the literature. The purpose of this work was to study quantitatively this trait using Fourier analysis, because this methodological approach is particularly well adapted for discrimination between different simple shapes. Using this approach, an outline can be characterized by a series of harmonics (1 to n), each defined by two Fourier descriptors: amplitude (C(n)), describing the relative importance of the harmonic contribution to the original shape, and phase (Phi(n)), representing the orientation of the harmonic contribution. The material consisted of 104 three-dimensional CT reconstructions of adult pelves (52 males and 52 females). After size normalization, the outlines of the 104 left obturator foramens were studied. Significant differences were demonstrated with, in total, 84.6% of individuals presenting a correct inferred sex. The most discriminating descriptors were the phase of the second harmonic (C(2),) related to the oval (or elliptic) aspect and thus the elongation of the shape, and the amplitude of the third harmonic (Phi(3)), describing the triangularity of the shape. Because the trend for an outline to be more or less oval or triangular is difficult to visually assess and because there is an infinite number of transitional shapes, only a precise quantitative approach such as Fourier analysis allows for unambiguous characterization and statistical analysis.
在呈现性别差异的众多骨盆特征中,闭孔有经典的描述,即男性呈椭圆形,女性呈三角形。然而,似乎没有文献中对此进行演示或详细研究。本研究的目的是使用傅立叶分析对该特征进行定量研究,因为这种方法特别适合于区分不同的简单形状。使用这种方法,可以通过一系列谐波(1 到 n)来描述轮廓,每个谐波都由两个傅立叶描述符定义:幅度(C(n)),描述谐波对原始形状的相对重要性,和相位(Phi(n)),表示谐波贡献的方向。材料由 104 个成人骨盆的三维 CT 重建组成(52 名男性和 52 名女性)。在尺寸归一化后,研究了 104 个左侧闭孔的轮廓。研究表明,总共 84.6%的个体具有正确的推断性别差异。最具区分性的描述符是与椭圆形(或椭圆形)方面相关的第二谐波的相位(C(2,)),从而描述了形状的伸长,以及第三谐波的幅度(Phi(3,)),描述了形状的三角形。因为很难直观评估轮廓是更接近椭圆形还是三角形,并且存在无限数量的过渡形状,所以只有像傅立叶分析这样的精确定量方法才能进行明确的特征描述和统计分析。