Crystal image analysis using 2D synchrosqueezed transforms
Published
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