Gao Feng, Damsgaard Michael, Rasmussen John, Christensen Søren Tørholm
Institute of Mechanical Engineering, Aalborg University, Pontoppidanstraede 101, 9220 Aalborg East, Denmark.
Biol Cybern. 2002 Sep;87(3):199-210. doi: 10.1007/s00422-002-0326-1.
This paper presents a new and efficient method to calculate the line-of-action of a muscle as it wraps over bones and other tissues on its way from origin to insertion. The muscle is assumed to be a one-dimensional, massless, taut string, and the surfaces of bones that the muscle may wrap around are approximated by cross-sectional boundaries obtained by slicing geometrical models of bones. Each cross-sectional boundary is approximated by a series of connected line segments. Thus, the muscle path to be calculated is piecewise linear with vertices being the contact points on the cross-sectional boundaries of the bones. Any level of geometric accuracy can be obtained by increasing the number of cross sections and the number of line segments in each cross section. The algorithm is computationally efficient even for large numbers of cross sections.
本文提出了一种全新且高效的方法,用于计算肌肉在从起点到止点的过程中,缠绕在骨骼和其他组织上时的作用线。假设肌肉是一维的、无质量的绷紧弦,肌肉可能缠绕的骨骼表面通过对骨骼几何模型进行切片得到的横截面边界来近似。每个横截面边界由一系列相连的线段近似。因此,要计算的肌肉路径是分段线性的,其顶点为骨骼横截面边界上的接触点。通过增加横截面数量和每个横截面中的线段数量,可以获得任意水平的几何精度。即使对于大量的横截面,该算法在计算上也是高效的。