Crystal image analysis using 2D synchrosqueezed transforms
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© 2015 Society for Industrial and Applied Mathematics.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 nonoverlapping segments of 2D general intrinsic mode type functions, which are superpositions of nonlinear 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.
Published Version (Please cite this version)10.1137/140955872
Publication InfoLu, Jianfeng; Yang, Haizhao; & Ying, L (2015). Crystal image analysis using 2D synchrosqueezed transforms. Multiscale Modeling and Simulation, 13(4). pp. 1542-1572. 10.1137/140955872. Retrieved from https://hdl.handle.net/10161/11648.
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Associate Professor of Mathematics
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science and other related fields.More specifically, his current research focuses include:Electronic structure and many body problems; quantum molecular dynamics; multiscale modeling and analysis; rare events and sampling techniques.
Instructor* of Mathematics
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