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Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis

dc.contributor.author Lu, Jianfeng
dc.contributor.author Wirth, B
dc.contributor.author Yang, Haizhao
dc.date.accessioned 2016-01-03T01:09:03Z
dc.date.issued 2016-04-01
dc.identifier.issn 0022-5096
dc.identifier.uri https://hdl.handle.net/10161/11296
dc.description.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.
dc.relation.ispartof Journal of the Mechanics and Physics of Solids
dc.relation.isversionof 10.1016/j.jmps.2016.01.002
dc.title Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis
dc.type Journal article
pubs.begin-page 194
pubs.end-page 210
pubs.organisational-group Chemistry
pubs.organisational-group Duke
pubs.organisational-group Mathematics
pubs.organisational-group Physics
pubs.organisational-group Trinity College of Arts & Sciences
pubs.publication-status Published
pubs.volume 89


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