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

https://hdl.handle.net/10161/11659

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

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