Name
Abstract | ||
|---|---|---|
This paper introduces the synchrosqueezed wave packet transform as a method for analyzing two-dimensional images. This transform is a combination of wave packet transforms of a certain geometric scaling, a reallocation technique for sharpening phase space representations, and clustering algorithms for modal decomposition. For a function that is a superposition of several wave-like components with a highly oscillatory pattern satisfying certain separation conditions, we prove that the synchrosqueezed wave packet transform identifies these components and estimates their local wavevectors. A discrete version of this transform is discussed in detail, and numerical results are given to demonstrate the properties of the proposed transform. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1137/120891113 | SIAM JOURNAL ON IMAGING SCIENCES |
Keywords | Field | DocType |
wave packet transform,synchrosqueezing,clustering,local wavevector,phase space representation,empirical mode decomposition | Sharpening,Wave packet,Mathematical optimization,Superposition principle,Mathematical analysis,Phase space,S transform,Cluster analysis,Fractional Fourier transform,Mathematics,Hilbert–Huang transform | Journal |
Volume | Issue | ISSN |
6 | 4 | 1936-4954 |
Citations | PageRank | References |
8 | 0.59 | 13 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Haizhao Yang | 1 | 46 | 13.03 |
| Lexing Ying | 2 | 1273 | 103.92 |