Synchrosqueezed wave packet transform for 2D mode decomposition
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2013-10-22
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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.
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Yang, Haizhao, and Lexing Ying (2013). Synchrosqueezed wave packet transform for 2D mode decomposition. SIAM Journal on Imaging Sciences, 6(4). pp. 1979–2009. 10.1137/120891113 Retrieved from https://hdl.handle.net/10161/11659.
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