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    Role of moving planes and moving spheres following Dupin cyclides

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    Type
    Article
    Authors
    Jia, Xiaohong
    KAUST Department
    Visual Computing Center (VCC)
    Date
    2014-03
    Permanent link to this record
    http://hdl.handle.net/10754/563427
    
    Metadata
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    Abstract
    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.
    Citation
    Jia, X. (2014). Role of moving planes and moving spheres following Dupin cyclides. Computer Aided Geometric Design, 31(3-4), 168–181. doi:10.1016/j.cagd.2014.02.006
    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 BV
    Journal
    Computer Aided Geometric Design
    DOI
    10.1016/j.cagd.2014.02.006
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.cagd.2014.02.006
    Scopus Count
    Collections
    Articles; Visual Computing Center (VCC)

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