Webb David, Sparrow William Anthony
Department of Anthropology and Sociology, Kutztown University, Kutztown, PA 19530, USA.
Primates. 2007 Oct;48(4):277-92. doi: 10.1007/s10329-007-0043-4. Epub 2007 May 22.
To describe and help interpret joint movements in various forms of primate locomotion, we explored the use of Fourier analysis to represent changing joint angles as a series of sine and cosine curves added together to approximate the raw angular data. Results are presented for four joints (shoulder, elbow, hip and knee) with emphasis on the shoulder, and for five types of locomotion (catarhine primate quadrupedal walking, human hands-and-feet creeping and hands-and-knees creeping, and human walking and running). Fourier analysis facilitates functional interpretation of the angles of all four joints, by providing average joint angles and an indication of the number of peaks and troughs in the angular data. The description of limb movements also afforded us the opportunity to compare human and other catarhine joint angles, and we interpret the Fourier results in terms of locomotor posture and type. In addition, the shoulder data are useful for determination of some aspects of interlimb coordination. Non-human primates walking quadrupedally and humans creeping on hands and knees generally evince diagonal couplets interlimb coordination, in which the hand on one side strikes the substrate at about the same time as the contralateral foot or knee. Furthermore, human walking and running seem to follow a similar pattern, as indicated by Fourier analysis. From our data it is concluded that human bipedal gaits are qualitatively similar to diagonal couplets gaits in other primates, but quite different from the lateral couplets gaits used by many non-primate mammals. A number of other benefits of Fourier analysis in primate locomotion studies are also discussed. These include the ability to make statistical comparisons among various types of limb movements in a wide variety of species, a simple archival technique for limb movement data, and a greater understanding of the variability of locomotor movements.
为了描述并辅助解释灵长类动物各种运动形式中的关节运动,我们探索了使用傅里叶分析来将不断变化的关节角度表示为一系列相加的正弦和余弦曲线,以近似原始角度数据。文中给出了四个关节(肩部、肘部、髋部和膝部)的结果,重点是肩部,以及五种运动类型(狭鼻猴类灵长动物四足行走、人类手脚爬行和手膝爬行,以及人类行走和跑步)的结果。傅里叶分析通过提供平均关节角度以及角度数据中峰值和谷值数量的指示,有助于对所有四个关节的角度进行功能解释。对肢体运动的描述也使我们有机会比较人类和其他狭鼻猴类的关节角度,并且我们根据运动姿势和类型来解释傅里叶分析的结果。此外,肩部数据对于确定肢体间协调的某些方面很有用。四足行走的非人类灵长动物和手膝爬行的人类通常表现出对角耦联的肢体间协调,即一侧的手与对侧的脚或膝部大致同时触地。此外,傅里叶分析表明,人类行走和跑步似乎遵循类似的模式。从我们的数据可以得出结论,人类两足步态在质量上与其他灵长动物的对角耦联步态相似,但与许多非灵长类哺乳动物使用的侧耦联步态有很大不同。文中还讨论了傅里叶分析在灵长类动物运动研究中的许多其他益处。这些益处包括能够在各种物种的不同类型肢体运动之间进行统计比较、一种用于肢体运动数据的简单存档技术,以及对运动变化性的更深入理解。