Name
Abstract | ||
|---|---|---|
A quadratic image interpolation method is stated. The formulation is connected to the optimization of lifting steps. This relation triggers the exploration of several interpolation possibilities within the same context, which uses the theory of convex optimization to minimize quadratic functions with linear constraints. The methods consider possible knowledge available from a given application. A set of linear equality constraints that relate wavelet bases and coefficients with the underlying signal is introduced in the formulation. As a consequence, the formulation turns out to be adequate for the design of lifting steps. The resulting steps are related to the prediction minimizing the detail signal energy and to the update minimizing the l2-norm of the approximation signal gradient. Results are reported for the interpolation methods in terms of PSNR and also, coding results are given for the new update lifting steps. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1155/2007/37843 | EURASIP J. Image and Video Processing |
Keywords | Field | DocType |
quadratic interpolation,linear lifting design,new update lifting step,linear equality constraint,approximation signal gradient,linear constraint,interpolation method,underlying signal,detail signal energy,quadratic image interpolation method,interpolation possibility,convex optimization | Mathematical optimization,Computer science,Interpolation,Stairstep interpolation,Quadratic equation,Quadratic function,Convex optimization,Image scaling,Bilinear interpolation,Inverse quadratic interpolation | Journal |
Volume | Issue | ISSN |
2007 | 1 | 1687-5281 |
Citations | PageRank | References |
3 | 0.45 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Joel Solé | 1 | 9 | 1.30 |
| Philippe Salembier | 2 | 603 | 87.65 |