Name
Title | ||
|---|---|---|
A simple matrix form for degree reduction of Bézier curves using Chebyshev–Bernstein basis transformations |
Abstract | ||
|---|---|---|
We use the matrices of transformations between Chebyshev and Bernstein basis and the matrices of degree elevation and reduction of Chebyshev polynomials to present a simple and efficient method for r times degree elevation and optimal r times degree reduction of Bézier curves with respect to the weighted L2-norm for the interval [0,1], using the weight function w(x)=1/4x-4x2. The error of the degree reduction scheme is given, and the degree reduction with continuity conditions is also considered. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.amc.2006.01.034 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Bézier curves,Chebyshev polynomials,Basis transformations,Degree elevation,Degree reduction,Continuity conditions | Chebyshev polynomials,Matrix form,Applied mathematics,Topology,Weight function,Mathematical analysis,Matrix (mathematics),Bézier curve,Chebyshev filter,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
181 | 1 | 0096-3003 |
Citations | PageRank | References |
5 | 0.86 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Abedallah Rababah | 1 | 54 | 6.65 |
| Byung-gook Lee | 2 | 109 | 15.64 |
| Jaechil Yoo | 3 | 33 | 4.77 |