Journal
COMPUTER AIDED GEOMETRIC DESIGN
Volume 26, Issue 3, Pages 287-299Publisher
ELSEVIER
DOI: 10.1016/j.cagd.2008.09.005
Keywords
Ruled surface; Self-intersection curve; Singular point; Parametric locus; mu-basis; Moving plane; Subresultant
Funding
- National Key Basic Research Project of China [2004CB318000]
- NSF of China [10671192, 60533060, 60225002]
- Doctoral Program of Higher Education [20060358055]
- 111 Project [b07033]
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An algorithm is presented to compute the self-intersection curves of a rational ruled surface based on the theory of mu-bases. The algorithm starts by constructing the principal subresultants for a mu-basis of the rational ruled Surface. The principal subresultant coefficients provide information about not only the parametric loci of the self-intersection Curves, but also the orders of the self-intersection curves. Based oil this observation. all efficient algorithm is provided to compute the parametric loci of the self-intersection Curves as well as their corresponding orders. The isolated singular points of the rational ruled surface are also computed. (c) 2008 Elsevier B.V. All rights reserved.
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