Name
Abstract | ||
|---|---|---|
The use of homogenized knots for manipulating univariate polynomials by blossoming algorithms is extended to piecewise polynomials.
A generalization of the B-spline to homogenized knots is studied. The new B-spline retains the triangular blossoming algorithms
for evaluation, differentiation and knot insertion. Moreover, the B-spline is locally supported and a Marsden’s identity exists.
Spaces of natural splines and certain polynomial spline spaces with more general continuity properties than ordinary splines
have bases of B-splines over homogenized knots. Applications to nonpolynomial splines such as trigonometric and hyperbolic
splines are made. |
Year | DOI | Venue |
|---|---|---|
1995 | 10.1007/BF03028372 | Advances in Computational Mathematics |
Keywords | DocType | Volume |
B-spline,natural spline,trigonometric spline,conversion,conversion,de Casteljau algorithm,blossom,polar form,homogenized knots | Journal | 3 |
Issue | Citations | PageRank |
3 | 1 | 0.35 |
References | Authors | |
7 | 1 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kyrre Strøm | 1 | 12 | 6.82 |