摘要翻译：
几何不变性，特别是仿射不变性，最近被认为是手部运动产生的一个重要原理。然而，仿射不变性的检验传统上被应用于这个原理的结果，而不是原理本身。在这里，我们设计并执行了一个原始的，直接的，在一个涂写实验中的仿射不变性测试。在随机选择的10800对涂鸦段中，我们将用四种不同的传输规则--仿射、等仿射、欧几里得和常数--转换第一段得到的时间参数与实验观察到的第二段参数化进行了比较。我们观察到，当两条路径相似时，第一段的仿射传输产生的时间参数化与第二段的实验参数化最匹配，这直接证明了手部运动产生的仿射不变性的存在。
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英文标题：
《Affine invariance of human hand movements: a direct test》
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作者：
Quang-Cuong Pham and Daniel Bennequin
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最新提交年份：
2012
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分类信息：

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：
  Geometrical invariance, in particular affine invariance, has been recently proposed as an important principle underlying the production of hand movements. However, tests of affine invariance have traditionally been applied to the consequences of this principle rather to the principle itself. Here, we designed and performed an original, direct, test of affine invariance in a scribbling experiment. In each of the 10800 pairs of randomly-selected scribbling segments, we compared the time parameterizations obtained by transforming the first segment using four different transportation rules - affine, equi-affine, Euclidian and constant - with the experimentally-observed parameterization of the second segment. We observed that, when the two paths are affinely-similar, the affine transportation of the first segment yields the time parameterization that best matches the experimental parameterization of the second segment, which directly demonstrates the existence of affine invariance in the production of hand movements.
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PDF链接：
https://arxiv.org/pdf/1209.1467