折叠(高阶函数)
平面的
几何学
坐标系
数学分析
能量(信号处理)
数学
物理
计算机科学
统计
计算机图形学(图像)
程序设计语言
作者
Jacob Badger,Todd G. Nelson,Robert J. Lang,Denise Halverson,Larry L. Howell
摘要
Abstract Of the many valid configurations that a curved fold may assume, it is of particular interest to identify natural—or lowest energy—configurations that physical models will preferentially assume. We present normalized coordinate equations—equations that relate fold surface properties to their edge of regression—to simplify curved-fold relationships. An energy method based on these normalized coordinate equations is developed to identify natural configurations of general curved folds. While it has been noted that natural configurations have nearly planar creases for curved folds, we show that nonplanar behavior near the crease ends substantially reduces the energy of a fold.
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