Name
Title | ||
|---|---|---|
Maximal approximation order for a box-spline semi-cardinal interpolation scheme on the three-direction mesh |
Abstract | ||
|---|---|---|
Let M be the centred 3-direction box-spline whose direction matrix has every multiplicity 2. A new scheme is proposed for interpolation at the vertices of a semi-plane lattice from a subspace of the cardinal box-spline space generated by M. The elements of this semi-cardinal box-spline subspace satisfy certain boundary conditions extending the not-a-knot end-conditions of univariate cubic spline interpolation. It is proved that the new semi-cardinal interpolation scheme attains the maximal approximation order 4. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s10444-003-2601-7 | Adv. Comput. Math. |
Keywords | Field | DocType |
multivariable interpolation,box splines,boundary conditions,not-a-knot,semi-cardinal,approximation order,difference equations,Wiener–Hopf | Nearest-neighbor interpolation,Mathematical optimization,Spline interpolation,Polynomial interpolation,Mathematical analysis,Interpolation,Stairstep interpolation,Monotone cubic interpolation,Linear interpolation,Trilinear interpolation,Mathematics | Journal |
Volume | Issue | ISSN |
22 | 3 | 1019-7168 |
Citations | PageRank | References |
3 | 0.62 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Aurelian Bejancu | 1 | 10 | 3.86 |
| Malcolm A. Sabin | 2 | 358 | 60.06 |