Name
Title | ||
|---|---|---|
Approximate implicitization of planar curves by piecewise rational approximation of the distance function |
Abstract | ||
|---|---|---|
We present an approximate implicitization method for planar curves. The computed implicit representation is a piecewise rational approximation of the distance function to the given parametric curve.The proposed method consists of four main steps: quadratic B-spline approximation of the given parametric curve, data reduction, segments-wise implicitization, multiplying with suitable polynomial factors. These segments are joined such that the collection generate a global C r spline function which approximates the distance function, for r = 0, 1. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/s00200-006-0025-6 | Appl. Algebra Eng. Commun. Comput. |
Keywords | Field | DocType |
Approximate implicitization,Distance function | Spline (mathematics),Discrete mathematics,Parametric equation,Polynomial,Mathematical analysis,Metric (mathematics),Quadratic equation,Parametric statistics,Mathematics,Piecewise,Data reduction | Journal |
Volume | Issue | ISSN |
18 | 1 | 0938-1279 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohamed Shalaby | 1 | 0 | 0.34 |
| Bert Jüttler | 2 | 1148 | 96.12 |
| Josef Schicho | 3 | 121 | 21.43 |