摘要翻译：
本文给出了射影3-空间中一个联合轴系的Plucker向量。利用Plucker向量分析了关节轴间的依赖关系，特别说明了由杆件刚性连接的两个3自由度旋转关节总是形成一个5维系统。我们在相依射影线集合中引入了减少冗余的概念，并论证了在体位轴上减少冗余会增加受伤的风险。我们将此方法应用于一个简单的板球保龄球两关节模型，并通过对一些实验数据的分析表明，在某些情况下，可以观察到释放球周围的冗余减少。
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英文标题：
《Projective geometry for human motion, with an application to injury risk》
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作者：
Henri Laurie and Rudi Penne
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最新提交年份：
2004
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分类信息：

一级分类：Quantitative Biology        数量生物学
二级分类：Quantitative Methods        定量方法
分类描述：All experimental, numerical, statistical and mathematical contributions of value to biology
对生物学价值的所有实验、数值、统计和数学贡献
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一级分类：Quantitative Biology        数量生物学
二级分类：Other Quantitative Biology        其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要：
  We give an exposition of Plucker vectors for a system of joint axes in projective 3-space. We use Plucker vectors to analyse dependencies among joint axes, and in particular show that two rotational joints rigidly joined by a bar and each with 3 degrees of freedom always forms a 5-dimensional system. We introduce the concept of reduced redundancy in a dependent set of projective Lines, and argue that reduced redundancy in the axes of a body position increases injury risk. We apply this to a simple two-joint model of bowling in cricket, and show by analysis of some experimental data that reduced redundancy around ball release is observed in some cases.
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PDF链接：
https://arxiv.org/pdf/q-bio/0406024