Abstract
Some early violins have been reduced during their history to fit imposed morphological standards, while more recent ones have been built directly to these standards. We can observe differences between reduced and unreduced instruments, particularly in their contour lines and channel of minima. In a recent preliminary work, we computed and highlighted those two features for two instruments using triangular 3D meshes acquired by photogrammetry, whose fidelity has been assessed and validated with sub-millimetre accuracy. We propose here an extension to a corpus of 38 violins, violas and cellos, and introduce improved procedures, leading to a stronger discussion of the geometric analysis. We first recall the material we are working with. We then discuss how to derive the best reference plane for the violin alignment, which is crucial for the computation of contour lines and channel of minima. Finally, we show how to compute efficiently both characteristics and we illustrate our results with a few examples.
Abstract (translated)
在它们的历史中，一些早期的大提琴已经减半以适应强制的形态标准，而更现代的大提琴则是直接按照这些标准建造的。我们可以观察到减半的大提琴和大提琴之间的轮廓线和最小通道的差异。在最近的一个初步工作中，我们使用通过摄影测量获得的三维三角网格计算并突出了这两个特征，其准确度已通过亚毫米级精度得到了评估和验证。在这里，我们提出了一个用于38个大提琴、小提琴和的大提琴的团体的扩展，并引入了改进的程序，导致几何分析的讨论更加深入。我们首先回忆我们正在处理的材料。然后我们讨论了如何确定最佳参考平面来对大提琴对齐，这对于计算轮廓线和最小通道至关重要。最后，我们展示了如何计算这两个特征的高效性，并通过几个例子说明了我们的结果。
URL
https://arxiv.org/abs/2404.01995
