TY - JOUR
T1 - Role of moving planes and moving spheres following Dupin cyclides
AU - Jia, Xiaohong
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 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.
PY - 2014/3
Y1 - 2014/3
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/563427
UR - https://linkinghub.elsevier.com/retrieve/pii/S0167839614000211
UR - http://www.scopus.com/inward/record.url?scp=84899959553&partnerID=8YFLogxK
U2 - 10.1016/j.cagd.2014.02.006
DO - 10.1016/j.cagd.2014.02.006
M3 - Article
SN - 0167-8396
VL - 31
SP - 168
EP - 181
JO - Computer Aided Geometric Design
JF - Computer Aided Geometric Design
IS - 3-4
ER -