تقرير
Fitting Laguerre tessellation approximations to tomographic image data
| العنوان: | Fitting Laguerre tessellation approximations to tomographic image data |
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| المؤلفون: | Spettl, Aaron, Brereton, Tim, Duan, Qibin, Werz, Thomas, Krill III, Carl E., Kroese, Dirk P., Schmidt, Volker |
| المصدر: | Philosophical Magazine 96 (2016), pp. 166-189 |
| سنة النشر: | 2015 |
| المجموعة: | Condensed Matter Statistics |
| مصطلحات موضوعية: | Condensed Matter - Materials Science, Statistics - Computation |
| الوصف: | The analysis of polycrystalline materials benefits greatly from accurate quantitative descriptions of their grain structures. Laguerre tessellations approximate such grain structures very well. However, it is a quite challenging problem to fit a Laguerre tessellation to tomographic data, as a high-dimensional optimization problem with many local minima must be solved. In this paper, we formulate a version of this optimization problem that can be solved quickly using the cross-entropy method, a robust stochastic optimization technique that can avoid becoming trapped in local minima. We demonstrate the effectiveness of our approach by applying it to both artificially generated and experimentally produced tomographic data. Comment: 27 pages, 10 figures, 2 tables |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1080/14786435.2015.1125540 |
| URL الوصول: | http://arxiv.org/abs/1508.01341 |
| رقم الأكسشن: | edsarx.1508.01341 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1080/14786435.2015.1125540 |
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