New approach to quantifying anatomical curvatures using high-resolution polynomial curve fitting (HR-PCF)
New approach to quantifying anatomical curvatures using high-resolution polynomial curve fitting (HR-PCF)
复制标题
DOI：
10.1002/ajpa.20202
复制
发表时间：
2005-11-01
影响因子：
2.8
通讯作者：
Begun, DR
中科院分区：
文献类型：
--
作者：
Deane, AS;Kremer, EP;Begun, DR
特定骨骼元素的曲率特征长期以来一直被用作功能的代理指标。虽然曲率量化方法最常用于分析指骨曲率（Susman, 1979; Stern and Susman, 1983; Susman et al., 1984; Rose, 1986; Susman, 1988; Hamrick et al., 1995; Jungers et al., 1997），但类似的方法也用于分析灵长类动物和非灵长类哺乳动物的长骨（Swartz, 1990; Lanyon, 1980; Biewener, 1983; Richmond and Whalen, 2001）。这些分析表明，特定的解剖曲率可以直接与骨骼负载模式相关，与传统的骨计量测量不同，曲率量化是更好的近似“真实”骨骼形状。几种曲率量化方法被开发出来，尽管每一种都在其关于曲率本质的基本假设上有所不同。因此，没有一种方法是普遍适用于所有曲率的。本技术说明描述了一种测量曲率的替代方法，即高分辨率多项式曲线拟合（HR-PCF），该方法适用于所有开放轮廓解剖曲率。Susman（1979）、Stern和Susman（1983）以及Susman等人（1984）率先使用夹角作为量化指骨曲率的方法。夹角是一种与长度无关的曲率度量，来源于一系列地标和传统的长度和宽度度量。这种方法要求给定标本的曲率半径代表圆周上弧的一部分，并且连续的指骨标本代表来自同一个体的不同长度和曲率半径增加的射线，最好表示为一系列同心圆，而不是同一圆周上不同长度的弧。尽管指骨曲率半径和指骨长度是线性相关的，曲率半径随长度增加而增加，但夹角表示射线之间的常数，是“任何物种特征的回归线斜率的三角函数”（Stern et al., 1995, p. 3）。夹角由关节面中点的指骨长度(L)、中轴的背掌直径(D)、
Curvatures characteristic of particular skeletal elements have long been used as a proxy indicator of function. Although curvature quantification methods are most commonly associated with the analysis of phalangeal curvature (Susman, 1979; Stern and Susman, 1983; Susman et al., 1984; Rose, 1986; Susman, 1988; Hamrick et al., 1995; Jungers et al., 1997), similar methods were used in analyses of primate and nonprimate mammalian long bones (Swartz, 1990; Lanyon, 1980; Biewener, 1983; Richmond and Whalen, 2001). These analyses demonstrated that specific anatomical curvatures can be directly correlated with skeletal loading patterns, and unlike traditional osteometric measurements, curvature quantification is a better approximation of the ‘‘true’’shape of a bone. Several curvature quantification methodologies were developed, although each differs in its underlying assumptions about the nature of the curvature in question. Consequently, no single methodology is universally suited to all curvatures. This technical note describes an alternative method for measuring curvature, high-resolution polynomial curve fitting (HR-PCF), which is applicable to all open-contour anatomical curvatures.Susman (1979), Stern and Susman (1983), and Susman et al.(1984) pioneered the use of included angle as a method for quantifying phalangeal curvature. Included angle is a length-independent measure of curvature derived from a series of landmarks and traditional measures of length and breadth. This method requires that the radius of curvature for a given specimen represent a portion of an arc on the perimeter of a circle, and that successive phalangeal specimens representing different rays of increasing length and radii of curvature from the same individual are best represented as a series of concentric circles as opposed to arcs of differing lengths on the same circle. Although the radius of phalangeal curvature and phalangeal length are linearly related such that the radius of curvature increases with length, included angle represents a constant between rays and is ‘‘a trigonomic function of the slope of the regression line that characterizes any species’’(Stern et al., 1995, p. 3). Included angle is derived from the measurement of the phalangeal length at the midpoints of the articular surfaces (L), the dorsopalmar diameter at midshaft (D),