Name
Title | ||
|---|---|---|
Constrained polynomial degree reduction in the L2-norm equals best weighted Euclidean approximation of Bézier coefficients |
Abstract | ||
|---|---|---|
In this paper we show that the best constrained degree reduction of a given Bézier curve f of degree from n to m with Cα-1-continuity at the boundary in L2-norm is equivalent to the best weighted Euclidean approximation of the vector of Bernstein-Bézier (BB) coefficients of f from the vector of degree raised BB coefficients of polynomials of degree m with Cα-1-continuity at the boundary. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.l016/j.cagd.2003.10.001 | Computer Aided Geometric Design |
Keywords | DocType | Volume |
bernstein,Bernstein,polynomial degree reduction,zier curve,degree reduction,weighted Euclidean approximation,zier coefficient,constrained degree reduction,Weights,BB coefficient,Constrained degree reduction,Legendre,weights,Bézier curves,degree m,bézier curves,legendre | Journal | 21 |
Issue | ISSN | Citations |
2 | Computer Aided Geometric Design | 12 |
PageRank | References | Authors |
1.30 | 10 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Young Joon Ahn | 1 | 91 | 11.01 |
| Byung-gook Lee | 2 | 109 | 15.64 |
| Yunbeom Park | 3 | 25 | 2.75 |
| Jaechil Yoo | 4 | 33 | 4.77 |