Publications [#311746] of Jianfeng Lu

Papers Accepted

1. with J Lu, B Wirth and H Yang, Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis, edited by Bhattacharya, K, Journal of the Mechanics and Physics of Solids, vol. 89 (2016), pp. 194-210, Elsevier, ISSN 0022-5096 [arXiv:1501.06254], [repository], [doi]
   (last updated on 2016/06/06)

   Abstract:
   © 2016 Elsevier Ltd. All rights reserved. We develop a variational optimization method for crystal analysis in atomic resolution images, which uses information from a 2D synchrosqueezed transform (SST) as input. The synchrosqueezed transform is applied to extract initial information from atomic crystal images: crystal defects, rotations and the gradient of elastic deformation. The deformation gradient estimate is then improved outside the identified defect region via a variational approach, to obtain more robust results agreeing better with the physical constraints. The variational model is optimized by a nonlinear projected conjugate gradient method. Both examples of images from computer simulations and imaging experiments are analyzed, with results demonstrating the effectiveness of the proposed method.