Functional Anatomy Research Center, Dipartimento di Scienze Biomediche per la Salute, Facoltà di Medicina e Chirurgia, Università degli Studi di Milano, Milano, Italy.
Angle Orthod. 2013 Sep;83(5):801-8. doi: 10.2319/111812-883.1. Epub 2013 Mar 11.
To demonstrate if one or more golden relationships between different measurements of the human face exist.
To make our measurements, we used three-dimensional (3D) stereophotogrammetry, which has proved to be the "gold standard" in the field of facial anthropometry. We obtained 3D stereophotogrammetric facial acquisitions of 400 healthy young adult subjects, then had them scored by an Evaluation Jury. Each subject received an esthetic evaluation ranging from 0 to 40. Individuals with a score larger than 28 were considered very attractive (VA), and individuals with a score lower than 12 were considered not attractive (NA). Fifteen subjects per group were chosen by chance, with a final total group of 60 subjects: 15 VA males, 15 NA males, 15 VA females, and 15 NA females. For each subject, a set of facial distances was obtained from the stereophotogrammetric facial reconstruction, and 10 ratios were computed. The effects of sex and attractiveness were tested by analysis of variance. Additionally, Student's t-tests verified if the ratios were statistically different from the golden ratio.
For nine ratios, no significant effects of sex or attractiveness were found. Only the eye-mouth distance/height of the mandible ratio was significantly influenced by sex (P = .035) and attractiveness (P = .032). Seven out of 10 ratios were statistically different from the hypothetical value of 1.618, and only three of them were similar to the golden ratio.
Ratios between 3D facial distances were not related to attractiveness. Most of the facial ratios were different from the golden ratio.
证明人类面部不同测量值之间是否存在一个或多个黄金关系。
为了进行测量，我们使用了三维（3D）立体摄影测量法，该方法已被证明是面部人体测量学领域的“金标准”。我们对 400 名健康年轻成年受试者进行了 3D 立体摄影面部采集，然后由评估陪审团对其进行评分。每位受试者的美学评分为 0 到 40 分。评分大于 28 的个体被认为非常有吸引力（VA），评分小于 12 的个体被认为没有吸引力（NA）。我们随机选择每组 15 名受试者，最终总共有 60 名受试者：15 名 VA 男性、15 名 NA 男性、15 名 VA 女性和 15 名 NA 女性。对于每位受试者，从立体摄影面部重建中获得一组面部距离，并计算了 10 个比值。通过方差分析测试了性别和吸引力的影响。此外，学生 t 检验验证了比值是否与黄金比例存在统计学差异。
对于九个比值，没有发现性别或吸引力的显著影响。只有眼口距离/下颌骨高度比受到性别（P =.035）和吸引力（P =.032）的显著影响。10 个比值中有 7 个与假设的 1.618 值存在统计学差异，只有 3 个与黄金比例相似。
3D 面部距离之间的比值与吸引力无关。大多数面部比值与黄金比例不同。
