$3D$ Crystal Image Analysis based on Fast Synchrosqueezed Transforms
For materials scientists, this provides an automated tool to characterize material properties from 3D crystal images, but the method is incremental as it extends existing 2D synchrosqueezed transforms to 3D.
The paper proposes a fast 3D synchrosqueezed wave packet transform to automatically extract crystal orientation, defects, and deformation from 3D atomic resolution crystal images, with effectiveness demonstrated on synthetic and real datasets.
We propose an efficient algorithm to analyze $3D$ atomic resolution crystal images based on a fast $3D$ synchrosqueezed wave packet transform. The proposed algorithm can automatically extract microscopic information from $3D$ atomic resolution crystal images, e.g., crystal orientation, defects, and deformation, which are important information for characterizing material properties. The effectiveness of our algorithms is illustrated by experiments of synthetic datasets and real $3$D microscopic colloidal images.