Bookstein Fred L, Domjanic Jacqueline
Department of Anthropology, University of Vienna, Vienna, Austria.
Department of Clothing Technology, University of Zagreb, Zagreb, Croatia.
PLoS One. 2015 Aug 26;10(8):e0133303. doi: 10.1371/journal.pone.0133303. eCollection 2015.
The plantar surface of the human foot transmits the weight and dynamic force of the owner's lower limbs to the ground and the reaction forces back to the musculoskeletal system. Its anatomical variation is intensely studied in such fields as sports medicine and orthopedic dysmorphology. Yet, strangely, the shape of the insole that accommodates this surface and elastically buffers these forces is neither an aspect of the conventional anthropometrics of feet nor an informative label on the packet that markets supplementary insoles. In this paper we pursue an earlier suggestion that insole form in vertical view be quantified in terms of the shape of the foot not at the plane of support (the "footprint") but some two millimeters above that level. Using such sections extracted from laser scans of 158 feet of adult women from the University of Zagreb, in conjunction with an appropriate modification of today's standard geometric morphometrics (GMM), we find that the sectioned form can be described by its size together with two meaningful relative warps of shape. The pattern of this shape variation is not novel. It is closely aligned with two of the standard footprint measurements, the Chippaux-Šmiřák arch index and the Clarke arch angle, whose geometrical foci (the former in the ball of the foot, the latter in the arch) it apparently combines. Thus a strong contemporary analysis complements but does not supplant the simpler anthropometric analyses of half a century ago, with implications for applied anthropology.
人类足底将下肢的重量和动力传递至地面,并将反作用力传回肌肉骨骼系统。在运动医学和矫形畸形学等领域,人们对其解剖变异进行了深入研究。然而,奇怪的是,适配该表面并弹性缓冲这些力的鞋垫形状,既不是足部传统人体测量学的一个方面,也不是销售辅助鞋垫包装上的有用标签。在本文中,我们遵循一个早期建议,即从垂直视角来看,鞋垫形状应根据足部形状进行量化,该形状并非在支撑平面(“脚印”)处,而是在该平面上方约两毫米处。利用从萨格勒布大学158名成年女性足部激光扫描中提取的此类截面,并结合对当今标准几何形态测量学(GMM)进行适当修改,我们发现,该截面形状可以通过其尺寸以及两个有意义的相对形状变化来描述。这种形状变化模式并非新颖。它与两个标准脚印测量值密切相关,即奇波-施米拉克足弓指数和克拉克足弓角,其几何焦点(前者在跖球部,后者在足弓处)显然被它结合在一起。因此,强有力的当代分析对半个世纪前更简单的人体测量分析起到了补充作用,但并未取而代之,这对应用人类学具有启示意义。