Name
Abstract | ||
|---|---|---|
Every now and then, a new design of an interpolation kernel appears in the literature. While interesting results have emerged, the traditional design methodology proves laborious and is riddled with very large systems of linear equations that must be solved analytically. We propose to ease this burden by providing an explicit formula that can generate every possible piecewise-polynomial kernel given its degree, its support, its regularity, and its order of approximation. This formula contains a set of coefficients that can be chosen freely and do not interfere with the four main design parameters; it is thus easy to tune the design to achieve any additional constraints that the designer may care for. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1109/TIP.2003.818018 | IEEE Transactions on Image Processing |
Keywords | Field | DocType |
new design,explicit formula,piecewise-polynomial interpolation kernel,interpolation kernel,interesting result,large system,traditional design methodology,main design parameter,possible piecewise-polynomial kernel,linear equation,complete parameterization,additional constraint,interpolation,indexing terms,linear equations,spline function,design methodology,polynomial interpolation | Spline (mathematics),Applied mathematics,Parametrization,Interpolation,Artificial intelligence,Piecewise,Kernel (linear algebra),Mathematical optimization,System of linear equations,Pattern recognition,Polynomial interpolation,Design methods,Mathematics | Journal |
Volume | Issue | ISSN |
12 | 11 | 1057-7149 |
Citations | PageRank | References |
17 | 1.47 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| T Blu | 1 | 2574 | 259.70 |
| Thevenaz, P. | 2 | 702 | 80.79 |
| Unser, M. | 3 | 3438 | 442.40 |