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.
%0 Journal Article
%1 Francis:2004:VSE:1009231.1009304
%A Francis, George
%A Sullivan, John M.
%C Piscataway, NJ, USA
%D 2004
%I IEEE Educational Activities Department
%J IEEE Transactions on Visualization and Computer Graphics
%K 2004 geometry graphics ieee paper visualization
%N 5
%P 509--515
%R 10.1109/TVCG.2004.33
%T Visualizing a Sphere Eversion
%U https://ieeexplore.ieee.org/document/1310276
%V 10
%X 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.
@article{Francis:2004:VSE:1009231.1009304,
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.},
acmid = {1009304},
added-at = {2019-06-03T06:22:28.000+0200},
address = {Piscataway, NJ, USA},
author = {Francis, George and Sullivan, John M.},
biburl = {https://www.bibsonomy.org/bibtex/2063692f194bef80aa504d6d5068aef48/analyst},
description = {Visualizing a Sphere Eversion},
doi = {10.1109/TVCG.2004.33},
interhash = {b8ecd7a90b62cc4fb34d340861088bab},
intrahash = {063692f194bef80aa504d6d5068aef48},
issn = {1077-2626},
issue_date = {September 2004},
journal = {IEEE Transactions on Visualization and Computer Graphics},
keywords = {2004 geometry graphics ieee paper visualization},
month = sep,
number = 5,
numpages = {7},
pages = {509--515},
publisher = {IEEE Educational Activities Department},
timestamp = {2019-06-03T06:22:28.000+0200},
title = {Visualizing a Sphere Eversion},
url = {https://ieeexplore.ieee.org/document/1310276},
volume = 10,
year = 2004
}