Name
Title | ||
|---|---|---|
Solving the implicitization, inversion and reparametrization problems for rational curves through subresultants |
Abstract | ||
|---|---|---|
From the rational functions defining a rational plane curve it is possible to construct two bivariate polynomials that can be seen as univariate polynomials in the parameter value. In this paper several relevant properties of the subresultant sequence of these two polynomials are introduced which are used to solve simultaneously the implicitization, inversion, properness and reparametrization problems. It is also shown that these methods can be suitably transformed in order to deal with curves in the three-dimensional space presented by a polynomial parametrization. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.cagd.2009.07.003 | Computer Aided Geometric Design |
Keywords | Field | DocType |
relevant property,parameter value,rational plane curve,univariate polynomial,bivariate polynomial,subresultant sequence,rational curve,reparametrization problem,three-dimensional space,polynomial parametrization,rational function,three dimensional,plane curve | Applied mathematics,Mathematical optimization,Parametrization,Polynomial interpolation,Polynomial,Curve fitting,Mathematical analysis,Resultant,Plane curve,Univariate,Rational function,Mathematics | Journal |
Volume | Issue | ISSN |
26 | 9 | Computer Aided Geometric Design |
Citations | PageRank | References |
1 | 0.35 | 17 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Laureano Gonzalez-Vega | 1 | 199 | 17.77 |
| Ignacio F. Rua | 2 | 23 | 6.05 |