Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis
| dc.contributor.author | Lu, J | |
| dc.contributor.author | Wirth, B | |
| dc.contributor.author | Yang, H | |
| dc.date.accessioned | 2016-01-03T01:09:03Z | |
| dc.date.issued | 2016-04-01 | |
| 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.identifier.issn | 0022-5096 | |
| dc.identifier.uri | ||
| dc.publisher | Elsevier | |
| 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 | |
| duke.contributor.orcid | Lu, J|0000-0001-6255-5165 | |
| 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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