Reparametrization of a rational ruled surface using the μ-basis
✍ Scribed by Falai Chen
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 87 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0167-8396
No coin nor oath required. For personal study only.
✦ Synopsis
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 surface does not contain any non-generic base point and has a pair of directrices with the lowest possible degree.
📜 SIMILAR VOLUMES
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
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
The addition of diffuse functions to the basis set is shown to be important in obtaining an adequate Kutiee-Fock representation of the methyl anion CH;. The minimum potential energy curve for pyramidal inversion or' the ion is presented.