# Segmentation of Crystal Defects via Local Analysis of Crystal Distortion

### Matt Elsey, Benedikt Wirth

#### Abstract

We propose a variational method to simultaneously detect dislocations and grain boundaries in an image of a crystal as well as the local crystal distortion. To this end we extract a distortion field F from the image which is nearly curl-free except at dislocations and grain boundaries. The sparsity of the curl is promoted by an L1-regularization of curlF in the employed energy functional. The structure of the functional admits a fast and parallelizable minimization such that fairly large images can be analyzed in a few minutes.

#### References

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#### Paper Citation

#### in Harvard Style

Elsey M. and Wirth B. (2013). **Segmentation of Crystal Defects via Local Analysis of Crystal Distortion** . In *Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2013)* ISBN 978-989-8565-47-1, pages 294-302. DOI: 10.5220/0004281502940302

#### in Bibtex Style

@conference{visapp13,

author={Matt Elsey and Benedikt Wirth},

title={Segmentation of Crystal Defects via Local Analysis of Crystal Distortion},

booktitle={Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2013)},

year={2013},

pages={294-302},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0004281502940302},

isbn={978-989-8565-47-1},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2013)

TI - Segmentation of Crystal Defects via Local Analysis of Crystal Distortion

SN - 978-989-8565-47-1

AU - Elsey M.

AU - Wirth B.

PY - 2013

SP - 294

EP - 302

DO - 10.5220/0004281502940302