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We propose an efficient algorithm to analyze $3D$ atomic resolution crystalimages based on a fast $3D$ synchrosqueezed wave packet transform. The proposedalgorithm can automatically extract microscopic information from $3D$ atomicresolution crystal images, e.g., crystal orientation, defects, and deformation,which are important information for characterizing material properties. Theeffectiveness of our algorithms is illustrated by experiments of syntheticdatasets and real $3$D microscopic colloidal images.

$3D$ Crystal Image Analysis based on Fast Synchrosqueezed Transforms