Crystal image analysis using 2D synchrosqueezed transforms


Journal Article

© 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.

Full Text

Duke Authors

Cited Authors

  • Yang, H; Lu, J; Ying, L

Published Date

  • January 1, 2015

Published In

Volume / Issue

  • 13 / 4

Start / End Page

  • 1542 - 1572

Electronic International Standard Serial Number (EISSN)

  • 1540-3467

International Standard Serial Number (ISSN)

  • 1540-3459

Digital Object Identifier (DOI)

  • 10.1137/140955872

Citation Source

  • Scopus