Name
Abstract | ||
|---|---|---|
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 consists of two polynomials p(x,y,z,s) and q(x,y,z,s) that are linear in x,y,z and degree μ and m−μ in s respectively, where m is the degree of the implicit equation. The implicit equation of the surface is then obtained by merely taking the resultant of p and q with respect to s . This implicitization algorithm is faster and/or more robust than previous methods. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1016/S0167-8396(01)00012-7 | Computer Aided Geometric Design |
Keywords | Field | DocType |
mu-basis,moving plane,syzygy,ruled surface,implicitization,module | Tensor product,Topology,Curve fitting,Polynomial interpolation,Polynomial,Syzygy (astronomy),Implicit function,SIMPLE algorithm,Mathematics,Ruled surface | Journal |
Volume | Issue | ISSN |
18 | 1 | Computer Aided Geometric Design |
Citations | PageRank | References |
29 | 1.81 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Falai Chen | 1 | 403 | 32.47 |
| jianmin zheng | 2 | 1024 | 99.03 |
| thomas w sederberg | 3 | 2330 | 466.48 |