Role of moving planes and moving spheres following Dupin cyclides
Type
ArticleAuthors
Jia, XiaohongKAUST Department
Visual Computing Center (VCC)Date
2014-03Permanent link to this record
http://hdl.handle.net/10754/563427
Metadata
Show full item recordAbstract
We provide explicit representations of three moving planes that form a μ-basis for a standard Dupin cyclide. We also show how to compute μ-bases for Dupin cyclides in general position and orientation from their implicit equations. In addition, we describe the role of moving planes and moving spheres in bridging between the implicit and rational parametric representations of these cyclides. © 2014 Elsevier B.V.Sponsors
The author is grateful to professor Falai Chen and professor Ron Goldman for their guidance on the topic of A-bases through years. Zhouwang Yang at the University of Science and Technology of China proposed the original idea in Section 6 two years ago in another project. This work is supported by a National Key Basic Research Project of China (2011CB302404), by grants from NSFC (11201463), (60821002) and (91118001). The author is also supported by the National Center for Mathematics and Interdisciplinary Sciences in the Chinese Academy of Sciences and KAUST base funding.Publisher
Elsevier BVJournal
Computer Aided Geometric DesignISSN
01678396ae974a485f413a2113503eed53cd6c53
10.1016/j.cagd.2014.02.006