Name
Abstract | ||
|---|---|---|
In geometric modelling and computer-aided design a polynomial is usually represented in Bernstein form. Forward error analysis for the computation of the derivative of a polynomial in Bernstein form is performed. The corresponding running error is also analyzed. We have compared our results with those corresponding to a polynomial represented in power basis and using Legendre and Chebyshev forms. Since the conversions between the Bernstein and the power bases and between Bernstein and Chebyshev polynomials were already studied in the literature, for the sake of completeness the conversion between Bernstein and Chebyshev polynomials of the first kind is analyzed in an appendix. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.amc.2004.06.085 | Applied Mathematics and Computation |
Keywords | Field | DocType |
power base,bernstein polynomials,chebyshev polynomials,computer-aided design,chebyshev form,forward error analysis,chebyshev polynomial,polynomial evaluation,orthogonal polynomials,derivative evaluation,power basis,geometric modelling,basis conversion,bernstein form,bernstein polynomial,computer aided design,orthogonal polynomial | Chebyshev nodes,Chebyshev polynomials,Mathematical optimization,Orthogonal polynomials,Polynomial,Polynomial interpolation,Mathematical analysis,Chebyshev equation,Bernstein polynomial,Chebyshev filter,Mathematics | Journal |
Volume | Issue | ISSN |
167 | 1 | Applied Mathematics and Computation |
Citations | PageRank | References |
2 | 0.45 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Roberto Barrio | 1 | 64 | 12.04 |
| J. M. Peña | 2 | 681 | 72.88 |