Durian D J, Bideaud H, Duringer P, Schröder A P, Marques C M
Department of Physics & Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Feb;75(2 Pt 1):021301. doi: 10.1103/PhysRevE.75.021301. Epub 2007 Feb 5.
The shapes of flat pebbles may be characterized in terms of the statistical distribution of curvatures measured along their contours. We illustrate this method for clay pebbles eroded in a controlled laboratory apparatus, and also for naturally occurring rip-up clasts formed and eroded in the Mont St.-Michel bay. We find that the curvature distribution allows finer discrimination than traditional measures of aspect ratios. Furthermore, it connects to the microscopic action of erosion processes that are typically faster at protruding regions of high curvature. We discuss in detail how the curvature may be reliably deduced from digital photographs.
扁平鹅卵石的形状可以通过沿其轮廓测量的曲率统计分布来表征。我们展示了在实验室控制设备中侵蚀的粘土鹅卵石以及在圣米歇尔湾形成和侵蚀的天然撕裂碎屑的这种方法。我们发现曲率分布比传统的长宽比测量方法能进行更精细的区分。此外，它与侵蚀过程的微观作用相关，在高曲率的突出区域，侵蚀过程通常更快。我们详细讨论了如何从数码照片中可靠地推导曲率。
