Issue No. 05 - September/October (2004 vol. 10)
DOI Bookmark: http://doi.ieeecomputersociety.org/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.
Visualization, sphere eversion, Boy surface, Morin surface, regular homotopy, immersions, Willmore energy, the CAVE.
J. M. Sullivan and G. Francis, "Visualizing a Sphere Eversion," in IEEE Transactions on Visualization & Computer Graphics, vol. 10, no. , pp. 509-515, 2004.