可视化球面外翻。
Visualizing a sphere eversion.
作者信息
Francis George, Sullivan John M
机构信息
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA.
出版信息
IEEE Trans Vis Comput Graph. 2004 Sep-Oct;10(5):509-15. doi: 10.1109/TVCG.2004.33.
The mathematical process of everting a sphere (turning it inside-out allowing self-intersections) is a grand challenge for visualization because of the complicated, ever-changing internal structure. We have computed an optimal minimax eversion, requiring the least bending energy. Here, we discuss techniques we used to help visualize this eversion for visitors to virtual environments and viewers of our video The Optiverse.
将一个球体外翻（将其内部翻转到外部，允许自相交）的数学过程对于可视化来说是一个巨大的挑战，因为其内部结构复杂且不断变化。我们已经计算出了一种最优的极小极大外翻，所需的弯曲能量最少。在此，我们讨论我们用于帮助虚拟环境的访客以及我们的视频《Optiverse》的观众可视化这种外翻的技术。
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