2013/10/22 by Haizhao Yang, Lexing Ying, Yang, Haizhao +1 · 1 citation
Computer Science · Earth and Planetary Sciences · Engineering · #FOS: Mathematics #Image and Signal Denoising Methods #Machine Fault Diagnosis Techniques #Numerical Analysis (math.NA) #Seismic Imaging and Inversion Techniques
paper · pdf · doi:10.48550/arxiv.1310.6079
openalex publication_date 2013/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
This paper introduces the synchrosqueezed curvelet transform as an optimal tool for 2D mode decomposition of wavefronts or banded wave-like components. The synchrosqueezed curvelet transform consists of a generalized curvelet transform with application dependent geometric scaling parameters, and a synchrosqueezing technique for a sharpened phase space representation. In the case of a superposition of banded wave-like components with well-separated wave-vectors, it is proved that the synchrosqueezed curvelet transform is capable of recognizing each component and precisely estimating local wave-vectors. A discrete analogue of the continuous transform and several clustering models for decomposition are proposed in detail. Some numerical examples with synthetic and real data are provided to demonstrate the above properties of the proposed transform.