Synchrosqueezed wave packet transform for 2D mode decomposition
dc.contributor.author | Yang, Haizhao | |
dc.contributor.author | Ying, Lexing | |
dc.date.accessioned | 2016-02-28T03:49:59Z | |
dc.date.issued | 2013-10-22 | |
dc.description.abstract | This paper introduces the synchrosqueezed wave packet transform as a method for analyzing twodimensional 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. © 2013 Society for Industrial and Applied Mathematics. | |
dc.identifier.eissn | 1936-4954 | |
dc.identifier.uri | ||
dc.publisher | Society for Industrial & Applied Mathematics (SIAM) | |
dc.relation.ispartof | SIAM Journal on Imaging Sciences | |
dc.relation.isversionof | 10.1137/120891113 | |
dc.title | Synchrosqueezed wave packet transform for 2D mode decomposition | |
dc.type | Journal article | |
pubs.begin-page | 1979 | |
pubs.end-page | 2009 | |
pubs.issue | 4 | |
pubs.organisational-group | Duke | |
pubs.organisational-group | Mathematics | |
pubs.organisational-group | Trinity College of Arts & Sciences | |
pubs.publication-status | Published | |
pubs.volume | 6 |