Name
Abstract | ||
|---|---|---|
Products and tensor products of multivariate polynomials in B-patch form are viewed as linear combinations of higher degree B-patches. Univariate B-spline segments and certain regions of simplex splines are examples of B-patches. A recursive scheme for transforming tensor product B-patch representations into B-patch representations of more variables is presented. The scheme can also be applied for transforming ann-fold product of B-patch expansions into a B-patch expansion of higher degree. Degree raising formulas are obtained as special cases. The scheme calculates the blossom of the (tensor) product surface and generalizes the pyramidal recursive scheme for B-patches. |
Year | DOI | Venue |
|---|---|---|
1993 | 10.1007/BF02145751 | Numerical Algorithms |
Keywords | Field | DocType |
Multivariate polynomials,B-patch,B-spline,product,tensor product,conversion,pyramidal algorithm,de Casteljau algorithm,blossom,polar form,41A15,65D07 | Tensor product,B-spline,Spline (mathematics),Linear combination,Outer product,Mathematical optimization,Combinatorics,Tensor,Mathematical analysis,Simplex,Univariate,Mathematics | Journal |
Volume | Issue | Citations |
4 | 3 | 4 |
PageRank | References | Authors |
5.99 | 2 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kyrre Strøm | 1 | 12 | 6.82 |