Crystal Image Analysis Using 2D Synchrosqueezed Transforms

DOI10.1137/140955872zbMath1336.74016arXiv1402.1262OpenAlexW1835203915MaRDI QIDQ3459666

Haizhao Yang, Lexing Ying, Jian-feng Lu

Publication date: 11 January 2016

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1262

zbMATH Keywords

elastic deformationcrystal rotationcrystal defect2D band-limited synchrosqueezed transforms2D general intrinsic mode type function2D general wave shape

Mathematics Subject Classification ID

Related Items (9)

Multiresolution mode decomposition for adaptive time series analysis ⋮ Statistical analysis of synchrosqueezed transforms ⋮ ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform ⋮ PiPs: a kernel-based optimization scheme for analyzing non-stationary 1D signals ⋮ A Fast Algorithm for Multiresolution Mode Decomposition ⋮ Recursive Diffeomorphism-Based Regression for Shape Functions ⋮ Analysis of adaptive synchrosqueezing transform with a time-varying parameter ⋮ Two-dimensional compact variational mode decomposition ⋮ Phase-Space Sketching for Crystal Image Analysis Based on Synchrosqueezed Transforms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extracting grain boundaries and macroscopic deformations from images on atomic scale
• Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool
• Modeling textures with total variation minimization and oscillating patterns in image processing
• A multiphase level set framework for image segmentation using the Mumford and Shah model
• Instantaneous frequency and wave shape functions. I
• Synchrosqueezed wave packet transforms and diffeomorphism based spectral analysis for 1D general mode decompositions
• Continuous curvelet transform. II: Discretization and frames
• A Two-Stage Image Segmentation Method Using a Convex Variant of the Mumford--Shah Model and Thresholding
• Synchrosqueezed Wave Packet Transform for 2D Mode Decomposition
• Synchrosqueezed Curvelet Transform for Two-Dimensional Mode Decomposition
• Optimal approximations by piecewise smooth functions and associated variational problems
• Near-Optimal Detection of Geometric Objects by Fast Multiscale Methods
• Active contours without edges
• Nonlocal Active Contours
• Fast Automated Detection of Crystal Distortion and Crystal Defects in Polycrystal Images
• A simple and efficient scheme for phase field crystal simulation

This page was built for publication: Crystal Image Analysis Using 2D Synchrosqueezed Transforms