The monogenic synchrosqueezed wavelet transform: a tool for the decomposition/demodulation of AM-FM images

被引：23

作者：

Clausel, Marianne ^{[1
]}

Oberlin, Thomas ^{[1
]}

Perrier, Valerie ^{[1
]}

机构：

[1] Univ Grenoble Alpes, Lab Jean Kuntzmann, CNRS, UMR 5224, F-38041 Grenoble 9, France

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2015年 / 39卷 / 03期

关键词：

Monogenic signal; Wavelet transform; Directional time-frequency image analysis; Synchrosqueezing; EMPIRICAL MODE DECOMPOSITION; 2-DIMENSIONAL FRINGE PATTERNS; NATURAL DEMODULATION; SIGNALS; ALGORITHM;

D O I：

10.1016/j.acha.2014.10.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The synchrosqueezing method aims at decomposing 1D functions into superpositions of a small number of "Intrinsic Modes", supposed to be well separated both in time and frequency. Based on the unidimensional wavelet transform and its reconstruction properties, the synchrosqueezing transform provides a powerful representation of multicomponent signals in the time frequency plane, together with a reconstruction of each mode. In this paper, a bidimensional version of the synchrosqueezing transform is defined, by considering a well-adapted extension of the concept of analytic signal to images: the monogenic signal. We introduce the concept of "Intrinsic Monogenic Mode", that is the bidimensional counterpart of the notion of Intrinsic Mode. We also investigate the properties of its associated Monogenic Wavelet Decomposition. This leads to a natural bivariate extension of the Synchrosqueezed Wavelet Transform, for decomposing and processing multicomponent images. Numerical tests validate the effectiveness of the method on synthetic and real images. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：450 / 486

页数：37

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