Visualizing a sphere eversion.
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.
Francis
George
G
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA. gfrancis@uiuc.edu
Sullivan
John M
JM
D000465:Algorithms; D001185:Artificial Intelligence; D003196:Computer Graphics; D003198:Computer Simulation; D017076:Computer-Aided Design; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D008962:Models, Theoretical; D012815:Signal Processing, Computer-Assisted; D014584:User-Computer Interface