Name
Abstract | ||
|---|---|---|
This paper presents a new representation for the implicit equation of a planar rational curve with high order singularity by using moving curves technique. The new representation is the determinant of a matrix which is less than one half the size of the conventional expression based on the Bezout's resultant. An efficient algorithm to compute the new representation is derived, and comparisons for the computational costs between various resultant based methods are made. The results show that the implicit representation developed in this paper is not only more compact but also much more efficient to compute the implicit equation of the rational curve than previous methods. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1016/S0167-8396(01)00087-5 | Computer Aided Geometric Design |
Keywords | Field | DocType |
conventional expression,resultant,new implicit representation,implicitization,curves technique,implicit representation,efficient algorithm,moving curve,implicit equation,planar rational curve,rational curve,μ -basis,high order singularity,new representation,computational cost | Determinant,Topology,Polynomial interpolation,Curve fitting,Computer Aided Design,Singularity,Implicit function,Implicit personality theory,Planar,Mathematics | Journal |
Volume | Issue | ISSN |
19 | 2 | Computer Aided Geometric Design |
Citations | PageRank | References |
12 | 0.90 | 13 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Falai Chen | 1 | 403 | 32.47 |
| Tom Sederberg | 2 | 12 | 0.90 |