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arXiv · 1402.1262

Crystal image analysis using $2D$ synchrosqueezed transforms

Haizhao Yang·Jianfeng Lu·Lexing Ying
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Abstract

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.

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Haizhao Yang, Jianfeng Lu, Lexing Ying. 2014-02-06. Crystal image analysis using $2D$ synchrosqueezed transforms. https://arxiv.org/abs/1402.1262

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