Skip to main content

Crystal image analysis using 2D synchrosqueezed transforms

Publication ,  Journal Article
Yang, H; Lu, J; Ying, L
Published in: Multiscale Modeling and Simulation
January 1, 2015

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.

Duke Scholars

Published In

Multiscale Modeling and Simulation

DOI

EISSN

1540-3467

ISSN

1540-3459

Publication Date

January 1, 2015

Volume

13

Issue

4

Start / End Page

1542 / 1572

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Yang, H., Lu, J., & Ying, L. (2015). Crystal image analysis using 2D synchrosqueezed transforms. Multiscale Modeling and Simulation, 13(4), 1542–1572. https://doi.org/10.1137/140955872
Yang, H., J. Lu, and L. Ying. “Crystal image analysis using 2D synchrosqueezed transforms.” Multiscale Modeling and Simulation 13, no. 4 (January 1, 2015): 1542–72. https://doi.org/10.1137/140955872.
Yang H, Lu J, Ying L. Crystal image analysis using 2D synchrosqueezed transforms. Multiscale Modeling and Simulation. 2015 Jan 1;13(4):1542–72.
Yang, H., et al. “Crystal image analysis using 2D synchrosqueezed transforms.” Multiscale Modeling and Simulation, vol. 13, no. 4, Jan. 2015, pp. 1542–72. Scopus, doi:10.1137/140955872.
Yang H, Lu J, Ying L. Crystal image analysis using 2D synchrosqueezed transforms. Multiscale Modeling and Simulation. 2015 Jan 1;13(4):1542–1572.

Published In

Multiscale Modeling and Simulation

DOI

EISSN

1540-3467

ISSN

1540-3459

Publication Date

January 1, 2015

Volume

13

Issue

4

Start / End Page

1542 / 1572

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics