Loading...
Please wait, while we are loading the content...
Similar Documents
A family of smooth quasi-interpolants defined over Powell-Sabin triangulations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Speleers, Hendrik |
| Copyright Year | 2012 |
| Abstract | We investigate the construction of local quasi-interpolation schemes for a family of bivariate spline functions with smoothness r ≥ 1 and polynomial degree 3r−1. These splines are defined on triangulations with Powell-Sabin refinement, and they can be represented in terms of locally supported basis functions which form a convex partition of unity. Using the blossoming technique, we first derive a Marsden’s identity representing polynomials of degree 3r − 1 in such a spline form. Then we present a simple approach to construct various families of smooth quasi-interpolation schemes involving values and/or derivatives of a given function. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.cs.kuleuven.be/publicaties/rapporten/tw/TW617.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Basis function Degree of a polynomial Interpolation Imputation Technique Powell's method Refinement (computing) Spline (mathematics) |
| Content Type | Text |
| Resource Type | Article |
