Implicitizing rational surfaces of revolution using µ-bases

Authors:
Xiaoran Shi;Ron Goldman
Affiliations:
Department of Mathematics, University of Science and Technology of China, Hefei, 230026, China;Computer Science Department, Rice University, 6100 Main St., MS-132, Houston, TX 77005, USA
Venue:
Computer Aided Geometric Design
Year:
2012

Citing 6
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Abstract

We provide a new technique for implicitizing rational surfaces of revolution using @m-bases. A degree n rational plane curve rotating around an axis generates a degree 2n rational surface. From a @m-basis p,q of this directrix curve, where @m=deg(p)=