title: Visualizing a sphere eversion.
abstract: 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.
authors.affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA. gfrancis@uiuc.edu
authors.forename: George
authors.initials: G
authors.lastname: Francis
authors.forename: John M
authors.initials: JM
authors.lastname: Sullivan
mesh_terms: 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