Bookstein Fred L
Professor emeritus, Department of Statistics, University of Washington, Seattle, Wash; professor of Morphometrics, Department of Anthropology, University of Vienna, Vienna, Austria.
Am J Orthod Dentofacial Orthop. 2016 Jun;149(6):784-97. doi: 10.1016/j.ajodo.2015.12.011.
Of all the articles on cephalometrics this journal has published over the last half-century, the one most cited across the scientific literature is the 1979 lecture "The inappropriateness of conventional cephalometrics" by Robert Moyers and me. But the durable salience of this article is perplexing, as its critique was misdirected (it should have been aimed at the craniometrics of the early twentieth century, not merely the roentgenographic extension used in the orthodontic clinic) and its proposed remedies have all failed to establish themselves as methods of any broad utility. When problems highlighted by Moyers and me have been resolved at all, the innovations that resolved them owe to tools very different from those suggested in our article and imported from fields quite a bit farther from biometrics than we expected back in 1979. One of these tools was the creation de novo of a new abstract mathematical construction, statistical shape space, in the 1980s and 1990s; another was a flexible and intuitive new graphic, the thin-plate spline, for meaningfully and suggestively visualizing a wide variety of biological findings in these spaces. On the other hand, many of the complaints Moyers and I enunciated back in 1979, especially those stemming from the disarticulation of morphometrics from the explanatory styles and purposes of clinical medicine, remain unanswered even today. The present essay, a retrospective historical meditation, reviews the context of the 1979 publication, its major themes, and its relevance today. This essay is dedicated to the memory of Robert E. Moyers on the 100th anniversary of the American Journal of Orthodontics and Dentofacial Orthopedics.
在该期刊过去半个世纪发表的所有关于头影测量学的文章中,科学文献中被引用最多的是1979年罗伯特·莫耶斯(Robert Moyers)和我所做的题为《传统头影测量学的不适用性》的讲座。但这篇文章经久不衰的影响力令人费解,因为它的批评方向有误(它本应针对20世纪初的颅骨测量学,而不仅仅是正畸诊所使用的X线摄影扩展技术),而且它提出的补救措施都未能确立为具有广泛实用性的方法。莫耶斯和我所强调的问题得到解决时,解决问题的创新方法所依赖的工具与我们文章中建议的工具截然不同,而且这些工具来自比1979年我们预期的离生物统计学更远的领域。其中一个工具是在20世纪80年代和90年代全新创建的一种抽象数学结构——统计形状空间;另一个是一种灵活且直观的新图形——薄板样条,用于在这些空间中有意义且富有启发性地直观呈现各种生物学发现。另一方面,莫耶斯和我在1979年提出的许多抱怨,尤其是那些源于形态测量学与临床医学的解释方式和目的脱节的抱怨,即使在今天仍然没有得到回应。本文是一篇回顾性的历史思考文章,回顾了1979年那篇文章发表的背景、其主要主题以及它在当今的相关性。本文谨以此纪念美国正畸与牙颌面正畸杂志创刊100周年之际的罗伯特·E·莫耶斯(Robert E. Moyers)。