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A phase field method for tomographic reconstruction from limited data.

Hewett, Russell J and Jermyn, Ian and Heath, Michael T and Kamalabadi, Farzad (2012) 'A phase field method for tomographic reconstruction from limited data.', in Proceedings of the British Machine Vision Conference. Guildford, Surrey: BMVA Press, pp. 1-11.


Classical tomographic reconstruction methods fail for problems in which there is extreme temporal and spatial sparsity in the measured data. Reconstruction of coronal mass ejections (CMEs), a space weather phenomenon with potential negative effects on the Earth, is one such problem. However, the topological complexity of CMEs renders recent limited data reconstruction methods inapplicable. We propose an energy function, based on a phase field level set framework, for the joint segmentation and tomographic reconstruction of CMEs from measurements acquired by coronagraphs, a type of solar telescope. Our phase field model deals easily with complex topologies, and is more robust than classical methods when the data are very sparse. We use a fast variational algorithm that combines the finite element method with a trust region variant of Newton’s method to minimize the energy. We compare the results obtained with our model to classical regularized tomography for synthetic CME-like images.

Item Type:Book chapter
Additional Information:This work was funded by NASA GSRP fellowship NNX08AT43H FLL and by the NSF grant 0620550 CMG.
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Publisher statement:© 2012. The copyright of this document resides with its authors. It may be distributed unchanged freely in print or electronic forms.
Date accepted:No date available
Date deposited:12 April 2016
Date of first online publication:September 2012
Date first made open access:No date available

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