A new family of variational-form-based regularizers for reconstructing epicardial potentials from body-surface mapping

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Publication Type Journal Article
School or College College of Engineering
Department Computing, School of
Creator Kirby, Robert Michael II; Johnson, Christopher R.
Other Author Wang, D. F.; MacLeod, R. S.
Title A new family of variational-form-based regularizers for reconstructing epicardial potentials from body-surface mapping
Date 2010
Description We propose a new family of regularizers for the inverse ECG problem, using a variational principle that underlies finite element approximation methods. As an alternative to traditional Tikhonov regularizers, the variational formulation has several advantages: 1)it enables a simple construction of the gradient operator (in a matrix form) over irregular meshes, which is often difficult to derive; 2) it achieves consistent regularization under multi-scale simulations by preserving the norm, which is evaluated by the resolution-independent L2-norm rather than the discrete Euclidean norm; and 3)it allows simultaneous application of multiple constraints efficiently. Our proposed method is validated by simulation on a realistic 3D model with clinical heart data, showing that the variational formulation may improve a broader range of potential-based electrocardiographic problems.
Type Text
Publisher Institute of Electrical and Electronics Engineers (IEEE)
First Page 93
Last Page 96
Language eng
Bibliographic Citation Wang, D. F., Kirby, R. M., MacLeod, R. S., & Johnson, C. R. (2010). A new family of variational-form-based regularizers for reconstructing epicardial potentials from body-surface mapping. Computers in Cardiology, 37, 93-6.
Rights Management © 2010 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. © 2010 IEEE. Reprinted from Wang, D. F., Kirby, R. M., MacLeod, R. S., & Johnson, C. R. (2010). A new family of variational-form-based regularizers for reconstructing epicardial potentials from body-surface mapping. Computers in Cardiology, 37, 93-6.
Format Medium application/pdf
Format Extent 11,754,548 bytes
Identifier ir-main,16038
ARK ark:/87278/s6rj531f
Setname ir_uspace
Date Created 2012-06-13
Date Modified 2012-06-13
ID 706069
Reference URL https://collections.lib.utah.edu/ark:/87278/s6rj531f
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