2014/02/06 by Haizhao Yang, Yang, Haizhao, Jianfeng Lu +3
Earth and Planetary Sciences · Engineering · Medicine · #FOS: Mathematics #Image Processing Techniques and Applications #Medical Imaging Techniques and Applications #Numerical Analysis (math.NA) #Seismic Imaging and Inversion Techniques
paper · pdf · doi:10.48550/arxiv.1402.1262
openalex publication_date 2014/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We propose efficient algorithms based on a band-limited version of 2D synchrosqueezed transforms to extract mesoscopic and microscopic information from atomic crystal images. The methods analyze atomic crystal images as an assemblage of non-overlapping segments of 2D general intrinsic mode type functions, which are superpositions of non-linear wave-like components. In particular, crystal defects are interpreted as the irregularity of local energy; crystal rotations are described as the angle deviation of local wave vectors from their references; the gradient of a crystal elastic deformation can be obtained by a linear system generated by local wave vectors. Several numerical examples of synthetic and real crystal images are provided to illustrate the efficiency, robustness, and reliability of our methods.