| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 441138 | Computer Aided Geometric Design | 2016 | 14 Pages |
Abstract
•We provide explicit formulas for the μ-bases of conic sections and planar rational cubic curves.•We derive explicit formulas for the implicit equations and double points of planar rational cubic curves from the μ-bases of planar rational cubic curves.•We also give explicit formulas for the μ-bases of rational curves of degree n in n-dimensions.
We derive explicit formulas for the μ-bases of conic sections and planar rational cubic curves. Using the μ-bases for planar rational cubic curves, we find explicit formulas for their implicit equations and double points. We also extend the explicit formula for the μ-bases of conic sections to μ-bases for rational curves of degree n in n-dimensions.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Xuhui Wang, Ron Goldman, Thomas W. Sederberg,