Name
Abstract | ||
|---|---|---|
We present a simple, original method to improve piecewise-linear interpolation with uniform knots: we shift the sampling knots by a fixed amount, while enforcing the interpolation property. We determine the theoretical optimal shift that maximizes the quality of our shifted linear interpolation. Surprisingly enough, this optimal value is nonzero and close to 1/5. We confirm our theoretical findings by performing several experiments: a cumulative rotation experiment and a zoom experiment. Both show a significant increase of the quality of the shifted method with respect to the standard one. We also observe that, in these results, we get a quality that is similar to that of the computationally more costly "high-quality" cubic convolution. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1109/TIP.2004.826093 | IEEE Transactions on Image Processing |
Keywords | Field | DocType |
zoom experiment,optimal value,cubic convolution,linear interpolation,theoretical optimal shift,theoretical finding,interpolation property,cumulative rotation experiment,piecewise-linear interpolation,original method,kernel,cumulant,interpolation,indexing terms,sampling methods,spline function,piecewise linear,algorithms,convolution,feedback,spline,digital filter,digital filters,approximation theory,linear models | Spline (mathematics),Applied mathematics,Spline interpolation,Interpolation,Artificial intelligence,Linear interpolation,Trilinear interpolation,Mathematical optimization,Pattern recognition,Convolution,Bicubic interpolation,Stairstep interpolation,Mathematics | Journal |
Volume | Issue | ISSN |
13 | 5 | 1057-7149 |
Citations | PageRank | References |
55 | 2.85 | 13 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| T Blu | 1 | 2574 | 259.70 |
| Thevenaz, P. | 2 | 702 | 80.79 |
| Unser, M. | 3 | 3438 | 442.40 |