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Revisiting the μ-basis of a rational ruled surface

✍ Scribed by Falai Chen; Wenping Wang


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
264 KB
Volume
36
Category
Article
ISSN
0747-7171

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Reparametrization of a rational ruled su
✍ Falai Chen 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 87 KB

This paper discusses a direct application of the µ-basis in reparametrizing a rational ruled surface. Using the µ-basis, we construct a new ruled surface, which is a dual of the original surface. A reparametrization can then be obtained from the µ-basis of the dual ruled surface. The reparametrized

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The mu-basis of a planar rational curve is a polynomial ideal basis comprised of two polynomials that greatly facilitates computing the implicit equation of the curve. This paper defines a mu-basis for a rational ruled surface, and presents a simple algorithm for computing the mu-basis. The mu-basis

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This paper presents an O(n 2 ) algorithm, based on Gröbner basis techniques, to compute the µ-basis of a degree n planar rational curve. The prior method involved solving a set of linear equations whose complexity by standard numerical methods was O(n 3 ). The µ-basis is useful in computing the impl