Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636106 | Applied Mathematics and Computation | 2006 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Abedallah Rababah, Byung-Gook Lee, Jaechil Yoo,