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Numerical experimentation with the Roulier-Rando fairness metrics

机译:Roulier-Rando公平性指标的数值实验

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摘要

The Roulier-Rando fairness metrics attempt to quantify the difference between a surface and a perfectly fair shape, e.g. sphere, cylinder, plane, that the surface should locally resemble. In this paper, the Roulier-Rando metrics are firstly expressed for arbitrarily parameterized surfaces. Next, the authors' numerical experience with an implementation of the metrics is presented and illustrated by means of one example of academic and one example of industrial interest.
机译:Roulier-Rando公平性指标试图量化曲面和完美公平形状之间的差异,例如表面应该局部相似的球体,圆柱体,平面。在本文中,首先针对任意参数化的曲面表达了Roulier-Rando度量。接下来,通过一个学术实例和一个产业兴趣实例,展示和说明了作者在实施指标方面的数字经验。

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