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A phase field method for tomographic reconstruction from limited data

Hewett, Russell J.; Jermyn, Ian; Heath, Michael T.; Kamalabadi, Farzad

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Authors

Russell J. Hewett

Michael T. Heath

Farzad Kamalabadi



Contributors

Richard Bowden
Editor

John Collomosse
Editor

Krystian Mikolajczyk
Editor

Abstract

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.

Citation

Hewett, R. J., Jermyn, I., Heath, M. T., & Kamalabadi, F. (2012). A phase field method for tomographic reconstruction from limited data. In R. Bowden, J. Collomosse, & K. Mikolajczyk (Eds.), Proceedings of the British Machine Vision Conference (1-11). https://doi.org/10.5244/c.26.120

Conference Name British Machine Vision Conference 2012 (BMVC)
Conference Location Guildford, Surrey
Start Date Sep 3, 2012
End Date Sep 7, 2012
Publication Date Sep 1, 2012
Deposit Date Jul 27, 2015
Publicly Available Date Apr 12, 2016
Pages 1-11
Book Title Proceedings of the British Machine Vision Conference
DOI https://doi.org/10.5244/c.26.120
Public URL https://durham-repository.worktribe.com/output/1153196

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Copyright Statement
© 2012. The copyright of this document resides with its authors. It may be distributed unchanged freely in print or electronic forms.





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