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Moving planes and moving spheres following dupin cyclides Jia, Xiaohong
Description
We provide explicit representations of three moving planes that form a $\mu$-basis for a cyclide in standard position and pose. We also show how to compute \(\mu\)-bases for cyclides in general position and pose from their implicit equations. The role of moving planes and moving spheres in bridging the implicit and rational parametric representations of the cyclides is described.
Item Metadata
Title |
Moving planes and moving spheres following dupin cyclides
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-08-11T15:15
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Description |
We provide explicit representations of three moving planes that form a $\mu$-basis for a cyclide in standard position and pose. We also show how to compute \(\mu\)-bases for cyclides in general position and pose from their implicit equations. The role of moving planes and moving spheres in bridging the implicit and rational parametric representations of the cyclides is described.
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Extent |
29 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Chinese Academy of Sciences
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Series | |
Date Available |
2017-02-10
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0342716
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International