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 te...

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Bibliographic Details
Published inIEEE transactions on visualization and computer graphics Vol. 10; no. 5; pp. 509 - 515
Main Authors Francis, G., Sullivan, J.M.
Format Journal Article
LanguageEnglish
Published United States IEEE 01.09.2004
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
Artificial Intelligence
Boy surface
Computer Graphics
Computer Simulation
Computer-Aided Design
Glass
Humans
Image Interpretation, Computer-Assisted - methods
Imaging, Three-Dimensional - methods
immersions
Index Terms- Visualization
Mathematics
Minimax techniques
Models, Theoretical
Morin surface
Numerical simulation
regular homotopy
Signal Processing, Computer-Assisted
sphere eversion
the CAVE
Turning
User-Computer Interface
Virtual environment
Visual system
Visualization
Willmore energy
Windows
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1077-2626
1941-0506
DOI:10.1109/TVCG.2004.33